Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times

Abstract

The soft breaking of gauge or other symmetries is the typical Quantum Field Theory phenomenon. In many cases one can apply the St$\ddot{\mathrm{u}}$ckelberg procedure, which means introducing some additional field or fields and restore the gauge symmetry. The original softly broken theory corresponds to a particular choice of the gauge fixing condition. In this paper we use this scheme for performing quantum calculations for some softly broken gauge theories in an arbitrary curved space-time. The following examples are treated in details: Proca field, massive QED and massive torsion coupled to fermion. Furthermore we present a qualitative discussions of the discontinuity of quantum effects in the massive spin-2 field theory, paying special attention to the similarity and differences with the massless limit in the spin-1 case.

LaTeX, 13 pages, no figures

References in corpus (1)

• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space

Cited by in corpus (10)

• Effective Action of Vacuum: Semiclassical Approach
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Form factors and decoupling of matter fields in four-dimensional gravity
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Vacuum effective actions and mass-dependent renormalization in curved space
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• Trace anomaly and induced action for a metric-scalar background
• Possibility of Spontaneous Symmetry Breaking in the Nambu-Jona-Lasinio model with torsion
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models
• Non-minimal non-Abelian quantum vector fields in curved spacetime