Hamiltonian BRST interactions in Abelian theories
C. Bizdadea, M. T. Miauta, S. O. Saliu

TL;DR
This paper uses Hamiltonian BRST deformation theory to systematically analyze and derive consistent couplings between Abelian gauge fields and various matter fields, including scalars and spinors.
Contribution
It introduces a cohomological approach to derive consistent Abelian gauge interactions with different matter fields, extending previous methods.
Findings
Derived scalar electrodynamics and Stuckelberg theories from Hamiltonian BRST deformations.
Established a cohomological framework for consistent Abelian gauge-matter couplings.
Unified treatment of scalar and spinor electrodynamics within the Hamiltonian BRST formalism.
Abstract
Consistent couplings between an Abelian gauge field and three types of matter fields are investigated by means of the Hamiltonian BRST deformation theory based on cohomological techniques. In this manner, scalar electrodynamics, the Stuckelberg theory for Abelian zero- and one-forms, respectively, spinor electrodynamics, are inferred.
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