Christ-Lee Model: (Anti-)Chiral Supervariable Approach to BRST Formalism
Abstract
We derive the off-shell nilpotent of order two and absolutely anti-commuting 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 anti-commutativity 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.
Keywords
Cite
@article{arxiv.2102.03845,
title = {Christ-Lee Model: (Anti-)Chiral Supervariable Approach to BRST Formalism},
author = {B. Chauhan and S. Kumar},
journal= {arXiv preprint arXiv:2102.03845},
year = {2022}
}
Comments
LaTeX file, 19 pages, version to appear in AHEP