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Superfield approach to (non-)local symmetries for 1-form Abelian gauge theory. (English) Zbl 1052.81067

Using the geometrical superfield formalism, the author derives the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for the free Abelian 1-form gauge theory in four (\(3+1\))-dimensions (4D) of spacetime. The discussion is carried out in the framework of BRST invariant Lagrangian density for the above 4D theory in the Feynman gauge. The geometrical origin and interpretation for the (dual-)BRST charges (and the transformations which they generate) are provided in the language of translations of some superfields along the Grassmannian directions of the six (\(4+2\))-dimensional supermanifold parametrized by the four spacetime and two Grassmannian variables.

MSC:

81T70 Quantization in field theory; cohomological methods
58A50 Supermanifolds and graded manifolds
81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
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