Batalin-Fradkin-Vilkovisky quantization and symmetries of FLPR model

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Main Authors: Nair, Ansha S., Gupta, Saurabh
Format: Preprint
Published: 2025
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author Nair, Ansha S.
Gupta, Saurabh
author_facet Nair, Ansha S.
Gupta, Saurabh
contents We quantize the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of Batalin-Fradkin-Vilkovisky (BFV) formalism. We construct the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) charges using constraints and the fermionic gauge-fixing function by means of admissible gauge conditions. We also derive the BRST invariant effective action (and corresponding symmetries) of the model in both polar and Cartesian coordinates. We demonstrate that the physical states of the system are annihilated by the first-class constraints which is consistent with the Dirac formalism. Moreover, we establish the finite field-dependent BRST (FFBRST) symmetries of the FLPR model. We exhibit the interlink between the BFV-BRST gauge-fixed action and the classical gauge invariant action using FFBRST formulation.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05632
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Batalin-Fradkin-Vilkovisky quantization and symmetries of FLPR model
Nair, Ansha S.
Gupta, Saurabh
High Energy Physics - Theory
We quantize the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of Batalin-Fradkin-Vilkovisky (BFV) formalism. We construct the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) charges using constraints and the fermionic gauge-fixing function by means of admissible gauge conditions. We also derive the BRST invariant effective action (and corresponding symmetries) of the model in both polar and Cartesian coordinates. We demonstrate that the physical states of the system are annihilated by the first-class constraints which is consistent with the Dirac formalism. Moreover, we establish the finite field-dependent BRST (FFBRST) symmetries of the FLPR model. We exhibit the interlink between the BFV-BRST gauge-fixed action and the classical gauge invariant action using FFBRST formulation.
title Batalin-Fradkin-Vilkovisky quantization and symmetries of FLPR model
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.05632