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Journal articles on the topic 'BFV-BRST formalism'

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Published: 10 March 2023

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1

Batalin, Igor A., and Peter M. Lavrov. "Quantum localization of classical mechanics." Modern Physics Letters A 31, no. 22 (July 14, 2016): 1650128. http://dx.doi.org/10.1142/s0217732316501285.

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Quantum localization of classical mechanics within the BRST-BFV and BV (or field–antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit leads to Hamiltonian localization in the path integral of the BRST-BFV formalism. In turn, we find that a special choice of gauge fixing functions being proportional to extremals of an initial non-degenerate classical action together with a very special solution of the classical master equation result in Lagrangian localization in the partition function of the BV formalism.

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2

Nirov, Khazret S. "The Ostrogradsky Prescription for BFV Formalism." Modern Physics Letters A 12, no. 27 (September 7, 1997): 1991–2004. http://dx.doi.org/10.1142/s0217732397002041.

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Gauge-invariant systems of a general form with higher order time derivatives of gauge parameters are investigated within the framework of the BFV formalism. Higher order terms of the BRST charge and BRST-invariant Hamiltonian are obtained. It is shown that the identification rules for Lagrangian and Hamiltonian BRST ghost variables depend on the choice of the extension of constraints from the primary constraint surface.

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3

Natividade, C. P., and A. de Souza Dutra. "BRST-BFV formalism for the generalized Schwinger model." Zeitschrift f�r Physik C Particles and Fields 75, no. 3 (July 1, 1997): 575–78. http://dx.doi.org/10.1007/s002880050501.

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4

NIROV, KH S. "BRST FORMALISM FOR SYSTEMS WITH HIGHER ORDER DERIVATIVES OF GAUGE PARAMETERS." International Journal of Modern Physics A 11, no. 29 (November 20, 1996): 5279–302. http://dx.doi.org/10.1142/s0217751x9600242x.

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For a wide class of mechanical systems, invariant under gauge transformations with arbitrary higher order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the Ostrogradsky formalism establishes the natural rules to relate the BFV ghost canonical pairs with the ghosts and antighosts introduced by the Lagrangian approach. Explicit relation between corresponding gauge-fixing terms is obtained.

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5

Pandey, Vipul Kumar. "Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold." Advances in High Energy Physics 2022 (February 27, 2022): 1–12. http://dx.doi.org/10.1155/2022/2158485.

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The BRST quantization of particle motion on the hypersurface V N − 1 embedded in Euclidean space R N is carried out both in Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) method, the second class constraints obtained using Hamiltonian analysis are converted into first class constraints. Then using BFV analysis the BRST symmetry is constructed. We have given a simple example of these kind of system. In the end we have discussed Batalin-Vilkovisky formalism in the context of this (BFFT modified) system.

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6

Batalin, Igor A., Peter M. Lavrov, and Igor V. Tyutin. "A systematic study of finite BRST-BFV transformations in generalized Hamiltonian formalism." International Journal of Modern Physics A 29, no. 23 (September 16, 2014): 1450127. http://dx.doi.org/10.1142/s0217751x14501279.

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We study systematically finite BRST-BFV transformations in the generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate an arbitrary finite change of gauge-fixing functions in the path integral.

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7

Yasmin, Safia. "U(1) gauged model of FJ-type chiral boson based on Batalin–Fradkin–Vilkovisky formalism." International Journal of Modern Physics A 35, no. 23 (August 20, 2020): 2050134. http://dx.doi.org/10.1142/s0217751x20501341.

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The BRST quantization of the U(1) gauged model of FJ-type chiral boson for [Formula: see text] and [Formula: see text] are performed using the Batalin–Fradkin–Vilkovisky formalism. BFV formalism converts the second-class algebra into an effective first-class algebra with the help of auxiliary fields. Explicit expressions of the BRST charge, the involutive Hamiltonian, and the preserving BRST symmetry action are given and the full quantization has been carried through. For [Formula: see text], this Hamiltonian gives the gauge invariant Lagrangian including the well-known Wess–Zumino term, while for [Formula: see text] the corresponding Lagrangian has the additional new type of the Wess–Zumino term. The spectra in both cases have been analysed and the Wess–Zumino actions in terms of auxiliary fields are identified.

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8

Batalin, Igor A., Peter M. Lavrov, and Igor V. Tyutin. "A systematic study of finite BRST-BFV transformations in Sp(2)-extended generalized Hamiltonian formalism." International Journal of Modern Physics A 29, no. 23 (September 16, 2014): 1450128. http://dx.doi.org/10.1142/s0217751x14501280.

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We study systematically finite BRST-BFV transformations in Sp(2)-extended generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate arbitrary finite change of gauge-fixing functions in the path integral.

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9

Batalin, Igor A., Peter M. Lavrov, and Igor V. Tyutin. "Finite BRST–BFV transformations for dynamical systems with second-class constraints." Modern Physics Letters A 30, no. 21 (June 18, 2015): 1550108. http://dx.doi.org/10.1142/s0217732315501084.

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We study finite field-dependent BRST–BFV transformations for dynamical systems with first- and second-class constraints within the generalized Hamiltonian formalism. We find explicitly their Jacobians and the form of a solution to the compensation equation necessary for generating an arbitrary finite change of gauge-fixing functionals in the path integral.

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10

Kim, Yong-Wan, Mu-In Park, Young-Jai Park, and Sean J. Yoon. "BRST Quantization of the Proca Model Based on the BFT and the BFV Formalism." International Journal of Modern Physics A 12, no. 23 (September 20, 1997): 4217–39. http://dx.doi.org/10.1142/s0217751x97002309.

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The BRST quantization of the Abelian Proca model is performed using the Batalin–Fradkin–Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class constraint system of the model into an effectively first class one by introducing new fields. In finding the involutive Hamiltonian we adopt a new approach which is simpler than the usual one. We also show that in our model the Dirac brackets of the phase space variables in the original second class constraint system are exactly the same as the Poisson brackets of the corresponding modified fields in the extended phase space due to the linear character of the constraints comparing the Dirac or Faddeev–Jackiw formalisms. Then, according to the BFV formalism we obtain that the desired resulting Lagrangian preserving BRST symmetry in the standard local gauge fixing procedure naturally includes the Stückelberg scalar related to the explicit gauge symmetry breaking effect due to the presence of the mass term. We also analyze the nonstandard nonlocal gauge fixing procedure.

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11

HONG, SOON-TAE, YONG-WAN KIM, and YOUNG-JAI PARK. "SYMMETRIES OF SU(2) SKYRMION IN HAMILTONIAN AND LAGRANGIAN APPROACHES." Modern Physics Letters A 15, no. 01 (January 10, 2000): 55–65. http://dx.doi.org/10.1142/s0217732300000086.

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We apply the Batalin–Fradkin–Tyutin (BFT) method to the SU (2) Skyrmion to study the full symmetry structure of the model at the first-class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having the WZ term, which corresponds to this Hamiltonian, in the framework of the Lagrangian approach. Furthermore, following the BFV formalism we derive the BRST invariant gauge fixed Lagrangian from the above extended action.

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12

NISSIMOV, E., S. PACHEVA, and S. SOLOMON. "ACTION PRINCIPLE FOR OVERDETERMINED SYSTEMS OF NONLINEAR FIELD EQUATIONS." International Journal of Modern Physics A 04, no. 03 (February 1989): 737–52. http://dx.doi.org/10.1142/s0217751x89000352.

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We propose a general scheme for constructing an action principle for arbitrary consistent overdetermined systems of nonlinear field equations. The principal tool is the BFV-BRST formalism. There is no need for star-product nor Chern-Simons forms. The main application of this general construction is the derivation of a superspace action in terms of unconstrained superfields for the D = 10N = 1 Super-Yang-Mills theory. The latter contains cubic as well as quartic interactions.

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13

ZHOU, JIAN-GE, YAN-GANG MIAO, and YAO-YANG LIU. "A NOVEL COVARIANT APPROACH TO THE QUANTIZATION OF INTERACTIVE CHIRAL BOSONS." Modern Physics Letters A 09, no. 14 (May 10, 1994): 1273–81. http://dx.doi.org/10.1142/s021773239400109x.

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A new covariant quantization of chiral bosons in the chiral Schwinger model with faddeevian regularization is carried out from Batalin-Fradkin (BF) algorithm. In order to turn the second class chiral constraint into first class constraints, infinitely many BF fields are first introduced. When combined with Batalin-Fradkin-Vilkovisky (BFV) formalism, two kinds of BRST-invariant actions have been derived. The first contains the Wess-Zumino action induced from the usual path-integral approach. But the second includes Wotzasek’s Wess-Zumino action coupled to the gauge fields.

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14

GAMBOA, J. "GENERAL COVARIANCE, TOPOLOGICAL QUANTUM FIELD THEORIES AND FRACTIONAL STATISTICS." International Journal of Modern Physics A 07, no. 02 (January 20, 1992): 209–34. http://dx.doi.org/10.1142/s0217751x92000144.

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Topological quantum field theories and fractional statistics are both defined in multiply connected manifolds. We study the relationship between both theories in 2 + 1 dimensions and we show that, due to the multiply-connected character of the manifold, the propagator for any quantum (field) theory always contains a first order pole that can be identified with a physical excitation with fractional spin. The article starts by reviewing the definition of general covariance in the Hamiltonian formalism, the gauge-fixing problem and the quantization following the lines of Batalin, Fradkin and Vilkovisky. The BRST–BFV quantization is reviewed in order to understand the topological approach proposed here.

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15

Sharapov, A. A. "Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket." International Journal of Modern Physics A 30, no. 25 (September 9, 2015): 1550152. http://dx.doi.org/10.1142/s0217751x15501523.

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We introduce the concept of a variational tricomplex, which is applicable both to variational and nonvariational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and a Cauchy foliation, we establish a general correspondence between the Lagrangian and Hamiltonian pictures of one and the same (not necessarily variational) dynamics. In practical terms, this correspondence allows one to construct the generating functional of a weak Poisson structure starting from that of a Lagrange structure. As a byproduct, a covariant procedure is proposed for deriving the classical BRST charge of the BFV formalism by a given BV master action. The general approach is illustrated by the examples of Maxwell’s electrodynamics and chiral bosons in two dimensions.

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16

Reshetnyak, A. A. "Towards Lagrangian formulations of mixed-symmetry higher spin fields on AdS-space within BFV-BRST formalism." Physics of Particles and Nuclei 41, no. 6 (November 2010): 976–79. http://dx.doi.org/10.1134/s1063779610060341.

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17

BATALIN, IGOR, and ROBERT MARNELIUS. "OPEN GROUP TRANSFORMATIONS WITHIN THE Sp(2)-FORMALISM." International Journal of Modern Physics A 15, no. 14 (June 10, 2000): 2077–92. http://dx.doi.org/10.1142/s0217751x00000859.

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Previously we have shown that open groups whose generators are in arbitrary involutions may be quantized within a ghost extended framework in terms of the nilpotent BFV–BRST charge operator. Here we show that they may also be quantized within an Sp(2)-frame in which there are two odd anticommuting operators called Sp(2)-charges. Previous results for finite open group transformations are generalized to the Sp(2)-formalism. We show that in order to define open group transformations on the whole ghost extended space we need Sp(2)-charges in the nonminimal sector which contains dynamical Lagrange multipliers. We give an Sp(2)-version of the quantum master equation with extended Sp(2)-charges and a master charge of a more involved form, which is proposed to represent the integrability conditions of defining operators of connection operators and which therefore should encode the generalized quantum Maurer–Cartan equations for arbitrary open groups. General solutions of this master equation are given in explicit form. A further extended Sp(2)-formalism is proposed in which the group parameters are quadrupled to a supersymmetric set and from which all results may be derived.

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18

NIROV, KH S., and A. V. RAZUMOV. "FIELD-ANTIFIELD AND BFV FORMALISMS FOR QUADRATIC SYSTEMS WITH OPEN GAUGE ALGEBRAS." International Journal of Modern Physics A 07, no. 23 (September 20, 1992): 5719–38. http://dx.doi.org/10.1142/s0217751x9200260x.

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The Lagrangian field-antifield (BV) and Hamiltonian (BFV) BRST formalisms for the general quadratic systems with open gauge algebra are considered. The equivalence between the Lagrangian and Hamiltonian formalisms is proven.

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19

Ghosal, Sanjib, and Anisur Rahaman. "Chiral Schwinger model with Faddeevian anomaly and its BRST quantization." European Physical Journal C 80, no. 2 (February 2020). http://dx.doi.org/10.1140/epjc/s10052-020-7627-1.

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Abstract We consider chiral Schwinger model with Faddeevian anomaly, and carry out the quantization of both the gauge-invariant and non-invariant version of this model has been. Theoretical spectra of this model have been determined both in the Lagrangian and Hamiltonian formulation and a necessary correlation between these two are made. BRST quantization using BFV formalism has been executed which shows spontaneous appearance of Wess–Zumino term during the process of quantization. The gauge invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition.

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