BRST symmetry of non-Lorentzian Yang-Mills theory

We explore the realization of BRST symmetry in the non-Lorentzian Yang-Mills Lagrangian within the context of Galilean and Carrollian Yang-Mills theory. Firstly, we demonstrate the nilpotent property of classical BRST transformations and construct corresponding conserve charges for both cases. Then,...

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Main Author: Minhajul Islam
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323007712
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author Minhajul Islam
author_facet Minhajul Islam
author_sort Minhajul Islam
collection DOAJ
description We explore the realization of BRST symmetry in the non-Lorentzian Yang-Mills Lagrangian within the context of Galilean and Carrollian Yang-Mills theory. Firstly, we demonstrate the nilpotent property of classical BRST transformations and construct corresponding conserve charges for both cases. Then, we analyze the algebra of these charges and observe the nilpotent properties at the algebraic level. The findings of this study contribute to an understanding of BRST symmetry in non-Lorentzian Yang-Mills Lagrangians and provide insights into the algebraic properties of related conserve charges.
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spelling doaj.art-8000383dd3ec46928ea0b38faa7965192024-02-05T04:29:20ZengElsevierPhysics Letters B0370-26932024-02-01849138438BRST symmetry of non-Lorentzian Yang-Mills theoryMinhajul Islam0Indian Institute of Technology Kanpur, Kalyanpur, Kanpur 208016, IndiaWe explore the realization of BRST symmetry in the non-Lorentzian Yang-Mills Lagrangian within the context of Galilean and Carrollian Yang-Mills theory. Firstly, we demonstrate the nilpotent property of classical BRST transformations and construct corresponding conserve charges for both cases. Then, we analyze the algebra of these charges and observe the nilpotent properties at the algebraic level. The findings of this study contribute to an understanding of BRST symmetry in non-Lorentzian Yang-Mills Lagrangians and provide insights into the algebraic properties of related conserve charges.http://www.sciencedirect.com/science/article/pii/S0370269323007712
spellingShingle Minhajul Islam
BRST symmetry of non-Lorentzian Yang-Mills theory
Physics Letters B
title BRST symmetry of non-Lorentzian Yang-Mills theory
title_full BRST symmetry of non-Lorentzian Yang-Mills theory
title_fullStr BRST symmetry of non-Lorentzian Yang-Mills theory
title_full_unstemmed BRST symmetry of non-Lorentzian Yang-Mills theory
title_short BRST symmetry of non-Lorentzian Yang-Mills theory
title_sort brst symmetry of non lorentzian yang mills theory
url http://www.sciencedirect.com/science/article/pii/S0370269323007712
work_keys_str_mv AT minhajulislam brstsymmetryofnonlorentzianyangmillstheory