Nilpotent symmetry invariance in the non-Abelian 1-form gauge theory: Superfield formalism

Pramana

B P Mandal¹  R P Malik1¹ 

[1] Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, India$$

关键词: Non-Abelian 1-form gauge theory;    Dirac fields;    (anti-)Becchi–Roucet–Stora– Tyutin invariance;    superfield formalism;    geometrical interpretations.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We demonstrate that the nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) non-Abelian 1-form gauge theory with Dirac fields can be captured within the frame-work of the superfield approach to BRST formalism. The above 4D theory, where there is an explicit coupling between the non-Abelian 1-form gauge field and the Dirac fields, is considered on a (4,2)-dimensional supermanifold, parametrized by the bosonic 4D space-time variables and a pair of Grassmannian variables. We show that the Grassmannian independence of the super-Lagrangian density, expressed in terms of the (4,2)-dimensional superfields, is a clear signature of the presence of the (anti-)BRST invariance in the original 4D theory.

【 授权许可】

Unknown