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

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    • Keywords


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

    • Abstract


      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.

    • Author Affiliations


      R P Malik1 B P Mandal1

      1. Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, India
    • Dates

  • Pramana – Journal of Physics | News

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