Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED
arXiv:hep-th/0508226 · doi:10.1140/epjc/s10052-006-0006-8
Abstract
The derivation of the exact and unique nilpotent Becchi-Rouet-Stora-Tyutin (BRST)- and anti-BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent symmetry transformations are deduced for the four (3 + 1)-dimensional (4D) complex scalar fields, coupled to the U(1) gauge field, in the framework of augmented superfield formalism. This interacting gauge theory (i.e. QED) is considered on a six (4, 2)-dimensional supermanifold parametrized by four even spacetime coordinates and a couple of odd elements of the Grassmann algebra. In addition to the horizontality condition (that is responsible for the derivation of the exact nilpotent symmetries for the gauge field and the (anti-)ghost fields), a new restriction on the supermanifold, owing its origin to the (super) covariant derivatives, has been invoked for the derivation of the exact nilpotent symmetry transformations for the matter fields. The geometrical interpretations for all the above nilpotent symmetries are discussed, too.
LaTeX file, 17 pages, journal version
References in corpus (5)
- An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
- Unique Nilpotent Symmetry Transformations For Matter Fields In QED: Augmented Superfield Formalism
- Superfield Approach To Nilpotent Symmetries For QED From A Single Restriction: An Alternative To The Horizontality Condition
- Nilpotent Symmetries For A Spinning Relativistic Particle In Augmented Superfield Formalism
- Augmented Superfield Approach To Exact Nilpotent Symmetries For Matter Fields In Non-Abelian Theory
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