Christ–Lee Model: (Anti-)chiral Supervariable Approach to BRST Formalism

IF 1.5 4区物理与天体物理 Q3 PHYSICS, PARTICLES & FIELDS

Advances in High Energy Physics Pub Date : 2021-02-07 DOI:10.1155/2021/5518304

B. Chauhan, S. Kumar

引用次数: 1

Abstract

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.

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Christ-Lee模型：BRST形式主义的（反）手性超变量方法

我们导出了二阶非壳幂零且绝对反共轭的Becchi-Rouet-Stora-Tayutin（BRST），通过利用BRST形式的（反）手性超变量方法（ACSA），在时空的0+1维（1D）中对Christ–Lee（CL）模型进行（反）co-BRST对称变换，其中量子对称性（即，（反）BRST和（反）-co-BRST）不变量起着至关重要的作用。在ACSA到BRST形式的范围内，我们证明了（反）BRST和（反）共BRST守恒电荷的幂零性和绝对反互易性，其中我们只考虑一个Grassmann变量。我们还证明了在ACSA范围内拉格朗日量的（反）BRST和（反）co-BRST不变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

3.40

自引率

5.90%

发文量

审稿时长

6-12 weeks

期刊介绍： Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.