Superfield approach to symmetry invariance in quantum electrodynamics with complex scalar fields |
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Authors: | R P Malik and B P Mandal |
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Institution: | (1) Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi, 221 005, India |
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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 parametrized by the ordinary four space-time variables x
μ (with μ = 0, 1, 2, 3) and a pair of Grassmannian variables θ and (with θ
2 =
2 = 0, θ
+
θ = 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.
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Keywords: | Augmented superfield formalism QED with complex scalar fields in 4D nilpotent (anti-)BRST symmetries geometrical interpretations |
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