Malik, R. P. Superfield approach to (non-)local symmetries for 1-form Abelian gauge theory. (English) Zbl 1052.81067 J. Phys. A, Math. Gen. 37, No. 3, 1059-1078 (2004). 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. Reviewer: Vladimir Balan (Bucureşti) Cited in 6 Documents 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 Keywords:Abelian gauge theory; BRST symmetry; Lagrangian density; Grassmannian differentials; chiral superfield PDFBibTeX XMLCite \textit{R. P. Malik}, J. Phys. A, Math. Gen. 37, No. 3, 1059--1078 (2004; Zbl 1052.81067) Full Text: DOI arXiv