Relevant bibliographies by topics / Non-Perturbative Calculation

Academic literature on the topic 'Non-Perturbative Calculation'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Non-Perturbative Calculation"

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Verschelde, Henri. "Perturbative calculation of non-perturbative effects in quantum field theory." Physics Letters B 351, no. 1-3 (May 1995): 242–48. http://dx.doi.org/10.1016/0370-2693(95)00338-l.

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Pineda, A. "Next-to-leading non-perturbative calculation in heavy quarkonium." Nuclear Physics B 494, no. 1-2 (June 1997): 213–36. http://dx.doi.org/10.1016/s0550-3213(97)00175-2.

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Capitani, S., M. Göckeler, R. Horsley, H. Oelrich, D. Petters, P. E. L. Rakow, and G. Schierholz. "Towards a non-perturbative calculation of DIS Wilson coefficients." Nuclear Physics B - Proceedings Supplements 73, no. 1-3 (March 1999): 288–90. http://dx.doi.org/10.1016/s0920-5632(99)85050-6.

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Ambjørn, J., and J. Greensite. "Non-perturbative calculation of correlators in 2D quantum gravity." Physics Letters B 254, no. 1-2 (January 1991): 66–70. http://dx.doi.org/10.1016/0370-2693(91)90397-9.

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Hahn, Susanne, and Gerhard Stock. "Efficient calculation of time- and frequency-resolved spectra: a mixed non-perturbative/perturbative approach." Chemical Physics Letters 296, no. 1-2 (October 1998): 137–45. http://dx.doi.org/10.1016/s0009-2614(98)01003-3.

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Stancalie, V. "Theoretical calculation of atomic data for plasma spectroscopy." Laser and Particle Beams 27, no. 2 (April 22, 2009): 345–54. http://dx.doi.org/10.1017/s0263034609000457.

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AbstractIn the present article, a number of theoretical approximations and numerical methods, varying in complexity, are reviewed, in order to facilitate their selection for plasma diagnostic purposes. Results refer to highly charged ions, particularly in the lithium isoelectronic sequence. This article describes progress in understanding the role of laser induced degenerate state phenomenon on resonances obtained by using lasers. This type of process, implicitly included in the R-matrix Floquet calculation, contributes to some degree, to the overall behavior of the resonance profiles. The present article gives comparative results obtained from ab initio non-perturbative treatment and perturbative calculation of autoionization widths in Be-like ions. The effective oscillator strength for complex highly ionized atoms is, also, provided. Such calculations are of interest as they represent accurate benchmark data for beam emission spectroscopy, Zeff analysis, or complex atoms modeling in fusion plasma devices.
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Blaizot, J. P., R. Méndez-Galain, and N. Wschebor. "Non-perturbative renormalization group calculation of the scalar self-energy." European Physical Journal B 58, no. 3 (August 2007): 297–309. http://dx.doi.org/10.1140/epjb/e2007-00223-3.

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Shanahan, H. P., P. Boyle, C. T. H. Davies, and H. Newton. "A non-perturbative calculation of the mass of the Bc." Physics Letters B 453, no. 3-4 (May 1999): 289–94. http://dx.doi.org/10.1016/s0370-2693(99)00325-1.

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IGNATIUS, ROSE P., K. P. SATHEESH, V. C. KURIAKOSE, and K. BABU JOSEPH. "NON-PERTURBATIVE CALCULATION OF EFFECTIVE POTENTIAL IN SUPERSYMMETRIC LIOUVILLE MODEL." Modern Physics Letters A 05, no. 26 (October 20, 1990): 2115–25. http://dx.doi.org/10.1142/s0217732390002419.

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The Gaussian effective potential for the supersymmetric Liouville model is computed both at zero temperature and at a finite temperature. It is noted that the supersymmetric Liouville theory, just like the ordinary Liouville model, does not possess a translationally invariant ground state. The broken translational symmetry is not restored by temperature effects. The supersymmetric Liouville theory is also non-trivial.
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Rochev, V. E. "A non-perturbative method for the calculation of Green functions." Journal of Physics A: Mathematical and General 30, no. 10 (May 21, 1997): 3671–79. http://dx.doi.org/10.1088/0305-4470/30/10/037.

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Dissertations / Theses on the topic "Non-Perturbative Calculation"

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Hutsalyuk, Arthur [Verfasser]. "Non-perturbative approach to calculation of correlation functions in 1D Fermi gases / Arthur Hutsalyuk." Wuppertal : Universitätsbibliothek Wuppertal, 2019. http://d-nb.info/1204222207/34.

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Storoni, Laurent Charles. "Lattice gauge actions : non-perturbative simulations of heavy hybrid states and perturbative calculations of lattice parameters." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620252.

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Books on the topic "Non-Perturbative Calculation"

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Kachelriess, Michael. Renormalisation I: Perturbation theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0011.

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After giving an overview about regularisation and renormalisation methods, this chapter shows the calculation of the anomalous magnetic moment of the electron in QED. Using a power counting argument, non-, super- and renormalisable theories are distinguish from one another. The structure of the divergences and perturbative renormalisation is discussed for the case of the λϕ‎4 theory. regularisation methods, renormalisation schemes, anomalous magnetic moment of the electron, power counting, renormalisation of the λϕ‎4 theory.
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Book chapters on the topic "Non-Perturbative Calculation"

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Zinn-Justin, Jean. "The essential role of functional integrals in modern physics." In From Random Walks to Random Matrices, 35–52. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0003.

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Chapter 3 illustrates by a number of examples the essential role of functional integrals in physics. For example, the path integral representation of quantum mechanics explains why many basic equations of classical physics satisfy a variational principle, the relation between quantum field theory and the theory of critical phenomena in macroscopic phase transitions. Field integrals are essential for gauge theory quantization, leading to the introduction of Faddeev–Popov ghost fields and BRST symmetry. Lattice gauge theory, the discretized form of field integrals, makes non–perturbative calculations possible. These are at the basis of the calculation of penetration effects in quantum field theory (instanton calculus).
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Zinn-Justin, Jean. "Instantons in quantum mechanics (QM)." In Quantum Field Theory and Critical Phenomena, 899–918. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0037.

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Perturbative expansion can be generated by calculating Euclidean functional integrals by the steepest descent method always looking, in the absence of external sources, for saddle points in the form of constant solutions to the classical field equations. However, classical field equations may have non-constant solutions. In Euclidean stable field theories, non-constant solutions have always a larger action than minimal constant solutions, because the gradient term gives an additional positive contribution. The non-constant solutions whose action is finite, are called instanton solutions and are the saddle points relevant for a calculation, by the steepest descent method, of barrier penetration effects. This chapter is devoted to simple examples of non-relativistic quantum mechanics (QM), where instanton calculus is an alternative to the semi-classical Wentzel–Kramers–Brillouin (WKB) method. The role of instantons in some metastable systems in QM is explained. In particular, instantons determine the decay rate of metastable states in the semi-classical limit initially confined in a relative minimum of a potential and decaying through barrier penetration. The contributions of instantons at leading order for the quartic anharmonic oscillator with negative coupling are calculate explicitly. The method is generalized to a large class of analytic potentials, and explicit expressions, at leading order, for one-dimensional systems are obtained.
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Zinn-Justin, Jean. "Relativistic fermions: Introduction." In Quantum Field Theory and Critical Phenomena, 258–91. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0012.

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Some basic concepts needed for the discussion of Fermi fields have been introduced earlier, as in quantum mechanics (QM) with Grassmann variables, a representation by field integrals of the statistical operator e<συπ>−βH</συπ> for the non-relativistic Fermi gas in the formalism of second quantization, and an expression for the evolution operator. Here, it is first recalled how relativistic fermions transform under the spin group. The free action for Dirac fermions is analysed, the relation between fields and particles explained, an expression for the scattering matrix obtained, and the non-relativistic limit of a model of self-coupled massive Dirac fermions derived. A formalism of Euclidean relativistic fermions is then introduced. In the Euclidean formalism: fermions transform under the fundamental representation of the spin group Spin(d) associated with the SO(d) rotation group (spin 1/2 fermions for d = 4). As for the scalar field theory, the Gaussian integral, which corresponds to a free field theory is calculated. Then the generating functional of correlation functions is obtained by adding a source term to the action. The field integral corresponding to a general action with an interaction expandable in powers of the field, can be expressed in terms of a series of Gaussian integrals, which can be calculated, for example, with the help of Wick's theorem. The connection between spin and statistics is verified by a simple perturbative calculation. The appendix describes a few additional properties of the spin group, the algebra of γ matrices, and the corresponding spinors for Euclidean fermions.
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Zinn-Justin, Jean. "Functional integration: From path to field integrals." In From Random Walks to Random Matrices, 13–34. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.003.0002.

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Chapter 2 is rather descriptive and introduces the notion of functional (path and field) integrals, for boson (the holomorphic formalism) as well as fermion systems (this necessitates the introduction of Grassmann integration) as they are used in physics. Prior to the second half of the twentieth century, the technical tools of theoretical physics were mainly differential or partial differential equations. However, when systematic investigations of large scale systems with quantum of statistical fluctuations began, new tools were required. This led to the development of functional integration. In this chapter, the role of Gaussian measures and Gaussian expectation values is emphasized, leading to Wick’s theorem, a tool for perturbative calculations. Functional integrals provide remarkable tools to study the classical limit and barrier penetration. They provide a simple bridge between non–relativistic quantum mechanics and quantum field theory.
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Zinn-Justin, Jean. "Ultraviolet divergences: Effective field theory (EFT)." In Quantum Field Theory and Critical Phenomena, 160–84. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0008.

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Only local relativistic quantum field theories (QFT) are considered: the action that appears in the field integral is the integral of a classical Lagrangian density, function of fields and their derivatives (taken at the same point). Physical quantities can be calculated as power series in the various interactions. As a consequence of locality, infinities appear in perturbative calculations, due to short-distance singularities, or after Fourier transformation, to integrals diverging at large momenta: one speaks of ultraviolet (UV) divergences. These divergences are peculiar to local QFT: in contrast to classical mechanics or non-relativistic quantum mechanics (QM) with a finite number of particles, a straightforward construction of a QFT of point-like objects with contact interactions is impossible. A local QFT, in a straightforward formulation, is an incomplete theory. It is an effective theory, which eventually (perhaps at the Planck's scale?), to be embedded in some non-local theory, which renders the full theory finite, but where the non-local effects affect only short-distance properties (an operation sometimes called UV completion). The impossibility to define a QFT without an explicit reference to an external short scale is an indication of a non-decoupling between short- and long-distance physics. The forms of divergences are investigated to all orders in perturbation theory using power counting arguments.
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Conference papers on the topic "Non-Perturbative Calculation"

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Lytle, Andrew. "Non-perturbative calculation of Z_m using Asqtad fermions." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0202.

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Mathiot, Jean-François, Vladimir A. Karmanov, and Alexander Smirnov. "Non-perturbative calculation of the anomalous magnetic moment in the Yukawa model." In LIGHT CONE 2008 Relativistic Nuclear and Particle Physics. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.061.0024.

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Martin, E. H., J. B. O. Caughman, R. C. Isler, C. C. Klepper, and S. C. Shannon. "Calculation of rf field characteristics using non-perturbative optical diagnostics with a generalized dynamic Stark effect model." In 2011 IEEE 38th International Conference on Plasma Sciences (ICOPS). IEEE, 2011. http://dx.doi.org/10.1109/plasma.2011.5993360.

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Gillies, P., P. A. Dalgarno, J. McFarlane, R. J. Warburton, I. Galbraith, K. Karrai, A. Badolato, and P. M. Petroff. "Non-perturbative calculations of excitonic complexes in quantum dots." In 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference. IEEE, 2006. http://dx.doi.org/10.1109/cleo.2006.4628976.

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