Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism
We derive the off-shell nilpotent of order two and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for the Christ–Lee (CL) model in one 0+1-dimension (1D) of spacetime by exploiting the (anti-)chiral supervariable approach (ACSA) to B...
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Hindawi Limited
2021
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oai:doaj.org-article:06e24f5128a046b39339f64c25ba85682021-11-08T02:37:21ZChrist–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism1687-736510.1155/2021/5518304https://doaj.org/article/06e24f5128a046b39339f64c25ba85682021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5518304https://doaj.org/toc/1687-7365We derive the off-shell nilpotent of order two and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for the Christ–Lee (CL) model in one 0+1-dimension (1D) of spacetime by exploiting the (anti-)chiral supervariable approach (ACSA) to BRST formalism where the quantum symmetry (i.e., (anti-)BRST along with (anti-)co-BRST) invariant quantities play a crucial role. We prove the nilpotency and absolute anticommutativity properties of the (anti-)BRST along with (anti-)co-BRST conserved charges within the scope of ACSA to BRST formalism where we take only one Grassmannian variable into account. We also show the (anti-)BRST and (anti-)co-BRST invariances of the Lagrangian within the scope of ACSA.B. ChauhanS. KumarHindawi LimitedarticlePhysicsQC1-999ENAdvances in High Energy Physics, Vol 2021 (2021) |
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Physics QC1-999 |
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Physics QC1-999 B. Chauhan S. Kumar Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
description |
We derive the off-shell nilpotent of order two and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for the Christ–Lee (CL) model in one 0+1-dimension (1D) of spacetime by exploiting the (anti-)chiral supervariable approach (ACSA) to BRST formalism where the quantum symmetry (i.e., (anti-)BRST along with (anti-)co-BRST) invariant quantities play a crucial role. We prove the nilpotency and absolute anticommutativity properties of the (anti-)BRST along with (anti-)co-BRST conserved charges within the scope of ACSA to BRST formalism where we take only one Grassmannian variable into account. We also show the (anti-)BRST and (anti-)co-BRST invariances of the Lagrangian within the scope of ACSA. |
format |
article |
author |
B. Chauhan S. Kumar |
author_facet |
B. Chauhan S. Kumar |
author_sort |
B. Chauhan |
title |
Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
title_short |
Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
title_full |
Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
title_fullStr |
Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
title_full_unstemmed |
Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism |
title_sort |
christ–lee model: (anti-)chiral supervariable approach to brst formalism |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/06e24f5128a046b39339f64c25ba8568 |
work_keys_str_mv |
AT bchauhan christleemodelantichiralsupervariableapproachtobrstformalism AT skumar christleemodelantichiralsupervariableapproachtobrstformalism |
_version_ |
1718442969584893952 |