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Journal articles on the topic 'Free energy perturbation theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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1

Mon, K. K. "Lower free energy bound for hard-sphere perturbation theory." Journal of Chemical Physics 116, no. 21 (2002): 9392–94. http://dx.doi.org/10.1063/1.1472507.

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2

Kalikmanov, V. I., R. Hagmeijer, and C. H. Venner. "Statistical Mechanical Perturbation Theory of Solid–Vapor Interfacial Free Energy." Journal of Physical Chemistry C 121, no. 12 (2017): 6868–73. http://dx.doi.org/10.1021/acs.jpcc.7b01331.

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3

Vilseck, Jonah Z., Julian Tirado-Rives, and William L. Jorgensen. "Determination of partial molar volumes from free energy perturbation theory." Physical Chemistry Chemical Physics 17, no. 13 (2015): 8407–15. http://dx.doi.org/10.1039/c4cp05304d.

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Free Energy Perturbation calculations are employed to determine free energies of solvation (ΔG<sub>solv</sub>) for benzene and benzene-derivatives at elevated pressures. Absolute and relative partial molar volumes are determined as the pressure derivative of ΔG<sub>solv</sub>.

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4

Topor, Nadia. "Perturbation Method for Boundary S-Matrix in 2D Quantum Field Theory." Modern Physics Letters A 12, no. 38 (1997): 2951–62. http://dx.doi.org/10.1142/s0217732397003071.

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We develop a perturbation theory for evaluating the boundary S-matrix in 2D quantum field theory. We apply this approach to calculate the one-loop boundary S-matrix for the elementary particle of the sine–Gordon model with a boundary interaction. Our perturbative result agrees with the exact expression of the S-matrix conjectured by Goshal; it also allows us to derive the perturbative relation between the parameter ϑ in the S-matrix and the free parameter M in the boundary action, in the particular case in which its other free parameter φ0 is zero.

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5

PERIWAL, VIPUL. "FREE ENERGY DECREASES ALONG WILSON RENORMALIZATION GROUP TRAJECTORIES." Modern Physics Letters A 10, no. 21 (1995): 1543–48. http://dx.doi.org/10.1142/s0217732395001666.

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The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for d>2. The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two-point function. The argument is valid for all orders in perturbation theory.

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6

Tobias, Douglas J., and Charles L. Brooks. "Calculation of free energy surfaces using the methods of thermodynamic perturbation theory." Chemical Physics Letters 142, no. 6 (1987): 472–76. http://dx.doi.org/10.1016/0009-2614(87)80646-2.

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7

Nieto, Agustin. "Perturbative QCD at High Temperature." International Journal of Modern Physics A 12, no. 08 (1997): 1431–64. http://dx.doi.org/10.1142/s0217751x97001043.

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Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be reorganized. The construction of the effective field theory is shown in detail for ϕ4 theory and QCD. It is applied to the evaluation of the free energy of QCD at order g5 and the calculation of the g6 term is outlined. Implications for the application of perturbative QCD to the quark–gluon plasma are also discussed.

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8

ABE, MITSUO, and NOBORU NAKANISHI. "NONRENORMALIZABILITY MAY BE SUPERFICIAL IN THE COVARIANT FORMALISM OF QUANTUM GRAVITY." Modern Physics Letters A 10, no. 21 (1995): 1501–6. http://dx.doi.org/10.1142/s0217732395001629.

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It is pointed out that the nonrenormalizability of quantum Einstein gravity may be caused by the inadequacy of the conventional perturbative approach. It is more reasonable to reconsider the problem in the light of a newly proposed perturbative scheme, which is free of the ad hoc assumption on which the conventional perturbation theory is based. It is explicitly shown that there is a gravity-theory example which is nonrenormalizable in the usual sense but completely finite if the new perturbative scheme is applied.

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9

MA, BO-QIANG, and JI SUN. "NEW SCALING VARIABLE FROM LIGHT-CONE PERTURBATION THEORY." International Journal of Modern Physics A 06, no. 03 (1991): 345–63. http://dx.doi.org/10.1142/s0217751x91000216.

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We argue from both the quark language and the free field light-cone expansion in light-cone perturbation theory that the constraint of overall “energy” conservation in deep inelastic lepton-nucleon scattering yields a similar new scaling variable xp, which reduces to the Weizmann variable, the Bloom-Gilman variable and the Bjorken variable at some approximations. The xp rescaling is expected to be a good scaling variable, and hence gives strong power-law type corrections to the deviations of Bjorken scaling. An understanding of this xp rescaling from both the free field operator product expans

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10

Greeff, C. W. "Tests of Monte Carlo perturbation theory for the free energy of liquid copper." Journal of Chemical Physics 128, no. 18 (2008): 184104. http://dx.doi.org/10.1063/1.2917355.

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11

Cinal, M., S. Olszewski, and T. Kwiatkowski. "Correlation energy of the free‐electron pair in the second‐order perturbation theory." Journal of Chemical Physics 98, no. 2 (1993): 1262–70. http://dx.doi.org/10.1063/1.464294.

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12

Hamza, A., Á. Vibók, G. J. Halász, and I. Mayer. "Second-order energy components in basis-set-superposition-error-free intermolecular perturbation theory." Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) 107, no. 1 (2001): 38–47. http://dx.doi.org/10.1007/s00214-001-0299-5.

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13

Romero-Téllez, Sonia, Alejandro Cruz, Laura Masgrau, Àngels González-Lafont, and José M. Lluch. "Accounting for the instantaneous disorder in the enzyme–substrate Michaelis complex to calculate the Gibbs free energy barrier of an enzyme reaction." Physical Chemistry Chemical Physics 23, no. 23 (2021): 13042–54. http://dx.doi.org/10.1039/d1cp01338f.

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A protocol based on the free energy perturbation theory justifies the suitable use of the exponential average and provides a practical way to determine the Gibbs free energy barrier of an enzyme reaction.

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14

ALDAYA, V., M. CALIXTO, and F. F. LÓPEZ-RUIZ. "NON-CANONICAL PERTURBATION THEORY OF NONLINEAR SIGMA MODELS." Modern Physics Letters A 26, no. 02 (2011): 127–38. http://dx.doi.org/10.1142/s0217732311034670.

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We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different perturbative regime from the usual relativistic-free-field one, by using non-canonical basic commutation relations adapted to the underlying O(N) symmetry of the system, which also account for the nontrivial (nonflat) geometry and topology of the target manifold.

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15

SRIVASTAVA, Y. N., O. PANELLA, and A. WIDOM. "INSTABILITY OF THE PERTURBATION THEORETICAL CHROMODYNAMIC VACUUM." International Journal of Modern Physics A 24, no. 06 (2009): 1097–103. http://dx.doi.org/10.1142/s0217751x09043080.

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The standard model of strong interactions invokes the quantum chromodynamics (QCD) of quarks and gluons interacting within a fluid. At sufficiently small length scales, the effective interactions between the color charged particles within the fluid are thought to be weak. Short distance asymptotic freedom provides the perturbation theory basis for comparisons between QCD theory and laboratory high energy scattering experiments. It is here shown that the asymptotically free vacuum has negative dissipation implicit in the color electrical conductivity. Negative dissipation implies an asymptotica

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16

Heit, Yonaton N., and Gregory J. O. Beran. "How important is thermal expansion for predicting molecular crystal structures and thermochemistry at finite temperatures?" Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 72, no. 4 (2016): 514–29. http://dx.doi.org/10.1107/s2052520616005382.

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Molecular crystals expand appreciably upon heating due to both zero-point and thermal vibrational motion, yet this expansion is often neglected in molecular crystal modeling studies. Here, a quasi-harmonic approximation is coupled with fragment-based hybrid many-body interaction calculations to predict thermal expansion and finite-temperature thermochemical properties in crystalline carbon dioxide, ice Ih, acetic acid and imidazole. Fragment-based second-order Möller–Plesset perturbation theory (MP2) and coupled cluster theory with singles, doubles and perturbative triples [CCSD(T)] predict th

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17

FERNÁNDEZ, FRANCISCO M. "HIGH-TEMPERATURE SERIES FOR THERMODYNAMIC FUNCTIONS." Journal of Theoretical and Computational Chemistry 02, no. 01 (2003): 1–5. http://dx.doi.org/10.1142/s0219633603000343.

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We propose a high-temperature expansion for thermodynamic functions. As an example we calculate the free energy for a restricted plane rigid rotor and compare present approach with perturbation theory.

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18

Ullmann, R. Thomas, and G. Matthias Ullmann. "A Generalized Free Energy Perturbation Theory Accounting for End States with Differing Configuration Space Volume." Journal of Physical Chemistry B 115, no. 3 (2011): 507–21. http://dx.doi.org/10.1021/jp1093838.

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19

CRUCEAN, COSMIN, and RADU RACOCEANU. "REDUCTION FORMALISM FOR DIRAC FERMIONS ON DE SITTER SPACE–TIME." International Journal of Modern Physics A 23, no. 07 (2008): 1075–87. http://dx.doi.org/10.1142/s0217751x08039475.

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The reduction formulas for Dirac fermions is derived using the exact solutions of free Dirac equation on de Sitter space–time. In the framework of the perturbation theory one studies the Green functions and derives the scattering amplitude in the first orders of perturbation theory.

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20

Lee, Seong-Chan, Zi-Hong Yoon, and Soon-Chul Kim. "Density profiles of fluids in some special symmetries." Canadian Journal of Physics 73, no. 7-8 (1995): 432–39. http://dx.doi.org/10.1139/p95-062.

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A free-energy-functional approximation based on a semi-empirical method is proposed. The main advantage of the free-energy-functional approximation is its accuracy compared with other models and its relative simplicity compared with other well-known weighted-density approximations. The free-energy-functional approximation is applied to predict the density profiles of the hard-sphere fluids and the Lennard–Jones fluids in some special symmetries. For the density profiles near a hard flat wall, the results reproduced the hard-sphere oscillatory structures qualitatively and quantitatively. For th

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21

Jorgensen, William L., James F. Blake, and J. Kathleen Buckner. "Free energy of TIP4P water and the free energies of hydration of CH4 and Cl- from statistical perturbation theory." Chemical Physics 129, no. 2 (1989): 193–200. http://dx.doi.org/10.1016/0301-0104(89)80004-7.

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22

FRASCA, MARCO. "DUAL PERTURBATION EXPANSION FOR A CLASSICAL λϕ4 FIELD THEORY". International Journal of Modern Physics A 22, № 07 (2007): 1441–50. http://dx.doi.org/10.1142/s0217751x07036282.

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We prove the existence of a strong coupling expansion for a classical λϕ4 field theory in agreement with the duality principle in perturbation theory put forward in a paper: M. Frasca, Phys. Rev. A58, 3439 (1998). The leading order solution is a snoidal wave taking the place of plane waves of the free theory. We compute the first-order correction and show that higher-order terms do renormalize the leading order solution.

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23

GUPTA, V., D. V. SHIRKOV, and O. V. TARASOV. "NEW PERTURBATIVE APPROACH TO GENERAL RENORMALIZABLE QUANTUM FIELD THEORIES." International Journal of Modern Physics A 06, no. 19 (1991): 3381–97. http://dx.doi.org/10.1142/s0217751x91001647.

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We develop further the new approach to perturbation theory for renormalizable quantum field theories (proposed some years ago) which gives renormalization-scheme-independent predictions for observable quantities. We call the resulting REnormalization-Scheme-Independent PErturba-tion theory RESIPE, for short. First, we formulate explicitly the relation of RESIPE to the renormalization group formalism for the massless one-coupling case. Then we extend this to the case where particle masses cannot be neglected. Further, we generalize the RESIPE formalism for the theory with two coupling constants

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24

Choi, Hwanho, Hongsuk Kang, and Hwangseo Park. "Computational Prediction of Molecular Hydration Entropy with Hybrid Scaled Particle Theory and Free-Energy Perturbation Method." Journal of Chemical Theory and Computation 11, no. 10 (2015): 4933–42. http://dx.doi.org/10.1021/acs.jctc.5b00325.

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25

Cataldo, Horacio M., and Carlos F. Tejero. "Perturbation theory for the free energy of classical two-dimensional solids with repulsive inverse-power interactions." Physical Review B 49, no. 22 (1994): 16028–30. http://dx.doi.org/10.1103/physrevb.49.16028.

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26

Uzunov, Dimo I. "Fluctuation effects in metastable states near first-order phase transitions." International Journal of Modern Physics B 30, no. 21 (2016): 1650149. http://dx.doi.org/10.1142/s0217979216501496.

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Fluctuation effects at first-order phase transitions driven by changes of other-than-temperature factors like pressure, concentration or external fields are investigated by perturbation theory. The results for the fluctuation contributions to the order parameter, the internal energy and the free energy at pre-transitional states near spinodal points of first-order phase transitions are presented to the first-nonvanishing order of the expansion parameters of the theory.

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27

Haug, Eberhard. "On Energy and Angular Distributions of Electrons in Triplet Production." Zeitschrift für Naturforschung A 40, no. 12 (1985): 1182–88. http://dx.doi.org/10.1515/zna-1985-1202.

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The differential cross section of electron pair production in the field of free electrons (triplet production) is derived from the cross section for electron-positron bremsstrahlung exact to lowest order of perturbation theory. It is used to compute energy and angular distributions of the outcoming electrons. The results are compared with previous calculations. In particular, the accuracy of the momentum distribution according to the Borsellino approximation is discussed.

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28

NANDY, MALAY K., and JAYANTA K. BHATTACHARJEE. "MODE-COUPLING THEORY, DYNAMIC SCALING, AND TWO-DIMENSIONAL TURBULENCE." International Journal of Modern Physics B 09, no. 09 (1995): 1081–97. http://dx.doi.org/10.1142/s0217979295000446.

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A self-consistent mode-coupling scheme, along with dynamic scaling ideas, is used to obtain a renormalized perturbation theory in the Eulerian framework from Wyld’s perturbation theory of the forced Navier-Stokes equation. For the force-correlation behaving as k−(d−4+y), the Kolmogorov and Kraichnan-Batchelor scaling spectra of two-dimensional turbulence for the inverse energy cascade, [Formula: see text] and the direct entropy cascade, [Formula: see text], are obtained for y=4 and y=6 respectively, including the logarithmic correction for the latter. Unlike the usual Eulerian formulations (e.

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29

BIETENHOLZ, W., and T. STRUCKMANN. "PERFECT LATTICE PERTURBATION THEORY: A STUDY OF THE ANHARMONIC OSCILLATOR." International Journal of Modern Physics C 10, no. 04 (1999): 531–53. http://dx.doi.org/10.1142/s0129183199000413.

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As an application of perfect lattice perturbation theory, we construct an O(λ) perfect lattice action for the anharmonic oscillator analytically in momentum space. In coordinate space, we obtain a set of 2-spin and 4-spin couplings ∝λ, which we evaluate for various masses. These couplings never involve variables separated by more than two lattice spacings. The O(λ) perfect action is simulated and compared to the standard action. We discuss the improvement for the first two energy gaps ΔE1, ΔE2 and for the scaling quantity ΔE2/ΔE1 in different regimes of the interaction parameter, and of the co

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30

Li, Dong Lin, Ping Chen, Jian Xiong Yi, Bi Yu Tang, Li Ming Peng, and Wen Jiang Ding. "Thermal Properties of the FCC Al₃Zr : First-Principles Study." Materials Science Forum 650 (May 2010): 313–19. http://dx.doi.org/10.4028/www.scientific.net/msf.650.313.

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Ab inito density functional theory (DFT) and density function perturbation theory (DFPT) have been applied to investigate the thermal properties of the face-center-cubic (fcc) Al3Zr alloy over a wide range of pressure and temperature. Phonon dispersions were obtained at equilibrium and strained configurations by density functional perturbation theory. Using the quasiharmonic approximation for the free energy, several interesting physical quantities such as thermal Grüneisen parameter, heat capacity at constant pressure and volume, thermal expansion coefficient and entropy, as well as adiabatic

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31

SUZUKI, HIROSHI. "THERMAL PARTITION FUNCTION OF NON-CRITICAL BOSONIC STRINGS." Modern Physics Letters A 04, no. 21 (1989): 2085–92. http://dx.doi.org/10.1142/s0217732389002343.

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The thermal free energy of free non-critical bosonic strings in a D-dimensional spacetime is examined. By integrating (or summing) over the Weyl freedom, the free energy and the one-loop vacuum amplitude are modular invariant for any D<26. Thus the (background) Weyl invariance is realized. In the case of L→∞, where L is the compactification radius of the Weyl mode, the physical spectrum circulating in the loop becomes continuous. A connection between this continuous spectrum and the unitarity of string perturbation theory is briefly mentioned.

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32

HOLLANDS, STEFAN, and ROBERT M. WALD. "CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES." Reviews in Mathematical Physics 17, no. 03 (2005): 227–311. http://dx.doi.org/10.1142/s0129055x05002340.

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We propose additional conditions (beyond those considered in our previous papers) that should be imposed on Wick products and time-ordered products of a free quantum scalar field in curved spacetime. These conditions arise from a simple "Principle of Perturbative Agreement": for interaction Lagrangians L1 that are such that the interacting field theory can be constructed exactly — as occurs when L1 is a "pure divergence" or when L1 is at most quadratic in the field and contains no more than two derivatives — then time-ordered products must be defined so that the perturbative solution for inter

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33

GAO, YI, YU ZHAO, and X. C. ZENG. "REEXAMINATION OF LOW ENERGY STRUCTURES OF ${\rm Au}_{4}^{-}$ AND Au4." Journal of Theoretical and Computational Chemistry 09, supp01 (2010): 1–7. http://dx.doi.org/10.1142/s0219633610005499.

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Low energy isomers of [Formula: see text] and Au4 were reexamined using the hybrid density functional B3LYP method and the couple-cluster method with the aug-cc-pVDZ-PP and aug-cc-pVTZ-PP basis sets. For [Formula: see text], the B3LYP method favors the zigzag isomer and the second order Moller–Plesset perturbation (MP2) total energy calculation favors the D2h rhombus isomer, whereas the couple-cluster singles and doubles with perturbative triples [CCSD(T)] level of theory favors the Y-shaped C2v isomer. The pyramid isomer is much higher in energy and could be easily excluded. The Gibbs free en

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34

HUANG, KERSON. "TRIVIALITY OF THE HIGGS FIELD." International Journal of Modern Physics A 04, no. 05 (1989): 1037–53. http://dx.doi.org/10.1142/s0217751x89000479.

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We give a critical review of the "triviality" of the λϕ4 theory, i.e., the vanishing of the renormalized self-coupling. Evidence from perturbation theory and Monte-Carlo simulations are cited. It is noted that (a) the theory is "trivial" but not entirely free, for there is spontaneous symmetry breaking; (b) perturbation theory is unreliable. Soluble examples with similar behavior are compared, in particular the Lee model and the 3D δ function potential. The latter case is especially important, for it shows that triviality is a symptom that the interaction is too singular, and suggests a cure.

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35

Moffat, J. W. "Non-anticommutative quantum gravity." International Journal of Modern Physics A 30, no. 17 (2015): 1550101. http://dx.doi.org/10.1142/s0217751x15501018.

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A calculation of the one loop gravitational self-energy graph in non-anticommutative quantum gravity reveals that graviton loops are damped by internal momentum dependent factors in the modified propagator and the vertex functions. The non-anticommutative quantum gravity perturbation theory is finite for matter-free gravity and for matter interactions.

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36

BELLISSARD, JEAN, and HERMANN SCHULZ-BALDES. "SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3." Reviews in Mathematical Physics 24, no. 08 (2012): 1250020. http://dx.doi.org/10.1142/s0129055x12500201.

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This paper analyzes the scattering theory for periodic tight-binding Hamiltonians perturbed by a finite range impurity. The classical energy gradient flow is used to construct a conjugate (or dilation) operator to the unperturbed Hamiltonian. For dimension d ≥ 3, the wave operator is given by an explicit formula in terms of this dilation operator, the free resolvent and the perturbation. From this formula, the scattering and time delay operators can be read off. Using the index theorem approach, a Levinson theorem is proved which also holds in the presence of embedded eigenvalues and threshold

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37

SEKE, JOSIP. "AN ELEMENTARY UNAMBIGUOUS, COMPLETE RENORMALIZATION PROCEDURE IN NONRELATIVISTIC QUANTUM ELECTRODYNAMICS." Modern Physics Letters B 13, no. 01 (1999): 27–32. http://dx.doi.org/10.1142/s0217984999000051.

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A new unambiguous, complete renormalization procedure is presented. Without introducing any energy (or mass) counter terms, by using the elementary time-dependent perturbation theory, it is shown that the renormalization procedure is equivalent to the identification and removement of those terms which stem from the experimentally unobservable free-electron–vacuum-field interaction.

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38

Farsoiya, Palas Kumar, Y. S. Mayya, and Ratul Dasgupta. "Axisymmetric viscous interfacial oscillations – theory and simulations." Journal of Fluid Mechanics 826 (August 15, 2017): 797–818. http://dx.doi.org/10.1017/jfm.2017.443.

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We study axisymmetric, free oscillations driven by gravity and surface tension at the interface of two viscous, immiscible, radially unbounded fluids, analytically and numerically. The interface is perturbed as a zeroth-order Bessel function (in space) and its evolution is obtained as a function of time. In the linearised approximation, we solve the initial value problem (IVP) to obtain an analytic expression for the time evolution of wave amplitude. It is shown that a linearised Bessel mode temporally evolves in exactly the same manner as a Fourier mode in planar geometry. We obtain novel ana

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39

Itoh, M. "Perturbation theory of the structure factor and the Helmholtz free energy of a classical fluid: II. Thermodynamic consistency." Journal of Physics C: Solid State Physics 21, no. 18 (1988): 3387–96. http://dx.doi.org/10.1088/0022-3719/21/18/005.

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40

Moser, Roger. "Towards a variational theory of phase transitions involving curvature." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 142, no. 4 (2012): 839–65. http://dx.doi.org/10.1017/s0308210510000995.

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An anisotropic area functional is often used as a model for the free energy of a crystal surface. For models of faceting, the anisotropy is typically such that the functional becomes non-convex, and then it may be appropriate to regularize it with an additional term involving curvature. When the weight of the curvature term tends to zero, this gives rise to a singular perturbation problem.The structure of this problem is comparable to the theory of phase transitions studied first by Modica and Mortola. Their ideas are also useful in this context, but they have to be combined with adequate geom

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41

ROUHANI, S., and M. V. TAKOOK. "ABELIAN GAUGE THEORY IN DE SITTER SPACE." Modern Physics Letters A 20, no. 31 (2005): 2387–96. http://dx.doi.org/10.1142/s0217732305018347.

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Quantization of spinor and vector free fields in four-dimensional de Sitter spacetime, in the ambient space notation, has been studied in the previous works. Various two-point functions for the above fields are presented in this paper. The interaction between the spinor field and the vector field is then studied by the Abelian gauge theory. The U (1) gauge invariant spinor field equation is obtained in a coordinate independent way notation and their corresponding conserved currents are computed. The solution of the field equation is obtained by the use of the perturbation method in terms of th

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42

FORMANECK, MARK S., GUOHUI LI, XIAODONG ZHANG, and QIANG CUI. "CALCULATING ACCURATE REDOX POTENTIALS IN ENZYMES WITH A COMBINED QM/MM FREE ENERGY PERTURBATION APPROACH." Journal of Theoretical and Computational Chemistry 01, no. 01 (2002): 53–67. http://dx.doi.org/10.1142/s0219633602000075.

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An approach for computing accurate redox potentials in enzymes is developed based on the free energy perturbation technique in a QM/MM framework. With an appropriate choice of the QM level and QM/MM coupling scheme, the intermolecular interaction between the redox center and the protein environment can be adequately described; the speed of QM/MM methods also allows a sufficient configurational sampling for the convergence of free energy derivatives. Following the implementation into the simulation package CHARMM, the method was tested with an application to the first reduction potential of FAD

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43

CABO, ALEJANDRO, SIANNAH PEÑARANDA, and RENE MARTINEZ. "ON THE POSSIBILITY OF CONSTRUCTING COVARIANT CHROMOMAGNETIC FIELD MODELS." Modern Physics Letters A 10, no. 32 (1995): 2413–25. http://dx.doi.org/10.1142/s0217732395002568.

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Expressions for SO(4) invariant Euclidean QCD generating functionals are introduced which should produce nonvanishing gluon condensates. We consider first the loop expansion of the corresponding effectíve action searching for a description differing from the usual perturbation theory. At this level, we consider special free propagators which have off-diagonal long range order. The calculation of the polarization tensor leads to a gluon mass term which is proportional to the squared root of the finite value for <G2>. The summation of all the one-loop contributions to the energy having onl

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44

Higuchi, Masahiko, and Hiroshi Yasuhara. "A Proposal of an Orbital-Dependent Correlation Energy Functional for Energy-Band Calculations." International Journal of Modern Physics B 17, no. 17 (2003): 3075–134. http://dx.doi.org/10.1142/s0217979203020715.

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An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the second-order direct and exchange perturbation terms calculated with Kohn–Sham orbitals and Kohn–Sham energies except that one of the two Coulomb interactions entering each term is replaced by an effective interaction which contains information about long-, intermediate-, and short-range correlations beyond second-order perturbation theory. Such an effective interaction

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45

DEMETERFI, KRESIMIR, ANTAL JEVICKI, and JOĀO P. RODRIGUES. "PERTURBATIVE RESULTS OF COLLECTIVE STRING FIELD THEORY." Modern Physics Letters A 06, no. 35 (1991): 3199–212. http://dx.doi.org/10.1142/s0217732391003699.

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We present a summary of perturbative results obtained in the framework of collective string field theory. We discuss computations of tree-level scattering amplitudes, loop corrections to tachyon self-energy, ground state energy and finite temperature free energy. A comparison with results obtained in different approaches is given. We also discuss the physical implications of our results.

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KIM, SOON-CHUL. "LOCAL DENSITY DISTRIBUTION OF NONUNIFORM POLYMER MELTS AT SOLID-FLUID INTERFACES." International Journal of Modern Physics B 20, no. 17 (2006): 2381–94. http://dx.doi.org/10.1142/s0217979206034790.

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We have developed the density functional theory (DFT) and density functional perturbation theory (DFPT) which are based both on the hybrid weighted-density approximation and on the higher-order weighted-density approximation, respectively, to study the structural and thermodynamic properties of polymer melts at interfaces. They were applied to predict the local density distributions, adsorption isotherms, surface excesses, and solvation forces of a freely jointed tangent hard-sphere chain in hard slit pores. The Wertheim's first-order perturbation theory extended by Yu and Wu [J. Chem. Phys.11

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FUCITO, F., and M. MARTELLINI. "RENORMALIZATION GROUP FLOWS IN NONPERTURBATIVE 2D QUANTUM GRAVITY." International Journal of Modern Physics A 07, no. 07 (1992): 1361–74. http://dx.doi.org/10.1142/s0217751x92000594.

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We study the existence of solutions of the string equations which are pole-free on the positive real axis and exhibit such a solution following the work of Boutroux. We further study, using perturbation theory, the flows among different models and we find that there is no flow between the k=2 and k=3 theories. Moreover, we develop a nonperturbative renormalization-group scheme to extract the scaling behavior of the partition function of the k=2 model under perturbations. The key idea is to reinterpret the recent formulation, as Virasoro constraints, of the string-loop equations as generalized

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HOYER, PAUL. "PERTURBATIVE QED: THE SCHRÖDINGER PICTURE." International Journal of Modern Physics A 04, no. 04 (1989): 963–79. http://dx.doi.org/10.1142/s0217751x89000443.

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A derivation of ordinary QED perturbation theory is given in the Schrödinger picture. The path integral is restricted to fields in a finite time interval, ti ≤ t ≤ tf, with explicit boundary conditions given by vacuum state functionals at the initial and final times. The free photon vacuum functional is uniquely specified by the requirement of stationarity in time. For the free electron vacuum further conditions need to be imposed, e.g., the occupation of all negative energy states. The calculations are carried out using a discretized time interval of finite spacing dt, and exact results (to a

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Herbst, Ulrich, and Ralf Hofmann. "Emergent Inert Adjoint Scalar Field in SU(2) Yang-Mills Thermodynamics due to Coarse-Grained Topological Fluctuations." ISRN High Energy Physics 2012 (March 5, 2012): 1–20. http://dx.doi.org/10.5402/2012/373121.

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We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field in an SU(2) Yang-Mills theory at large temperatures. This field is physically relevant in describing part of the ground-state structure and the quasiparticle masses of excitations. The field possesses nontrivial -winding on the group manifold . Even at asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann limit, the field , though strongly power suppressed, is conceptually relevant: its presence resolves the infrared problem of thermal perturbation theory.

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EFIMOV, G. V., and G. GANBOLD. "STRONG-COUPLING REGIME IN $g\phi^4_2$ THEORY." International Journal of Modern Physics A 18, no. 09 (2003): 1637–56. http://dx.doi.org/10.1142/s0217751x03013727.

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The problem of the strong-coupling regime is considered in the scalar superrenormalizable field theory [Formula: see text]. By using the Gaussian transform, we have found an optimal representation within which the exact strong-coupling behavior of the free energy is already obtained in the leading-order approximation. Within this representation, the interaction becomes slower as the bare coupling constant grows, so the higher-order corrections can be systematically estimated by using a modified perturbation scheme. The next-to-leading terms give rise in insignificant corrections for finite cou

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