Lorentz-violating gaugeon formalism for rank-2 tensor theory

Abstract

We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz breaking framework. The Lorentz breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in VSR, we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.

Path integral analysis of the axial anomaly in Very Special Relativity

“…This feature implies that there is a preferred direction in the Minkowski spacetime, where the Lorentz violating terms can be constructed as ratios of contractions of the vector n µ with other kinematical vectors, for instance n µ /(n.p) [12]. The VSR approach has been extended to the gauge theories, where many interesting theoretical and phenomenological aspects of VSR effects have been extensively discussed [14][15][16][17][18][19][20][21].…”

Classifying deviation from standard quantum behavior using the Kullback-Leibler divergence

“…Non-locality has also become important in constructing field theories based on very special relativity, where the symmetry of spacetime is only a subgroup of the Poincaré group [28]. Such non-local version of both non-Abelian [29,30] and higher spin field theories [31][32][33][34] has been constructed using very special relativity. It has been proposed that non-local effects can also be used to find a bound on the axion mass, and this in turn can have interesting physical consequences [35].…”