Reducible gauge theories in very special relativity

Abstract

In this paper we analyze the tensor field (reducible gauge) theories in the context of very special relativity (VSR). Particularly, we study the VSR gauge symmetry as well as VSR BRST symmetry of Kalb-Ramond and Abelian 3-form fields involving a fixed null vector. We observe that the Kalb-Ramond and Abelian 3-form fields and corresponding ghosts get masses in VSR framework. The effective action in VSR-type axial gauge is greatly simplified compared with the VSR-type Lorenz gauge. Further, we quantize these models using a Batalin-Vilkovisy (BV) formulation in VSR.

14 pages, no figure, Version to appear in EPJC

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Cited by in corpus (11)

• Very Special Relativity as a background field theory
• Quantum Gauge Freedom in Very Special Relativity
• Lorentz Violating $p$-form Gauge Theories in Superspace
• Quantum field theory with a preferred direction: The very special relativity framework
• Axion Mass Bound in Very Special Relativity
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Finite BRST Mapping in Higher Derivative Models
• Quantum gauge symmetry of reducible gauge theory
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
• Lorentz-violating gaugeon formalism for rank-2 tensor theory
• Classifying deviation from standard quantum behavior using Kullback Leibler divergence