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Relevant bibliographies by topics / BFV-BRST formalism

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Academic literature on the topic 'BFV-BRST formalism'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "BFV-BRST formalism"

1

Batalin, Igor A., and Peter M. Lavrov. "Quantum localization of classical mechanics." Modern Physics Letters A 31, no. 22 (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 th

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2

Nirov, Khazret S. "The Ostrogradsky Prescription for BFV Formalism." Modern Physics Letters A 12, no. 27 (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 (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 (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 (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 (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

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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 (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 (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 (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

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