• Superfield approach to symmetry invariance in quantum electrodynamics with complex scalar fields

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      https://www.ias.ac.in/article/fulltext/pram/072/05/0805-0818

    • Keywords

       

      Augmented superfield formalism; QED with complex scalar fields in 4D; nilpotent (anti-)BRST symmetries; geometrical interpretations.

    • Abstract

       

      We show that the Grassmannian independence of the super-Lagrangian density, expressed in terms of the superfields defined on a $(4,2)$-dimensional supermanifold, is a clear-cut proof for the Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST invariance of the corresponding four $(3+1)$-dimensional (4D) Lagrangian density that describes the interaction between the $U(1)$ gauge field and the charged complex scalar fields. The above 4D field theoretical model is considered on a $(4,2)$-dimensional supermanifold para- metrized by the ordinary four space-time variables $x^{\mu}$ (with $\mu = 0, 1, 2, 3$) and a pair of Grassmannian variables 𝜃 and $\bar{\theta}$ (with $\theta^{2} = \bar{\theta}^{2} = 0$, $\theta\bar{\theta} + \bar{\theta}\theta = 0$). Geometrically, the (anti-)BRST invariance is encoded in the translation of the super-Lagrangian density along the Grassmannian directions of the above supermanifold such that the outcome of this shift operation is zero.

    • 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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