Lorentz violating gaugeon formalism of Yang–Mills theory

Abstract

VSR is a way of keeping the main relativistic effects intact using subgroups of the Lorentz group instead of the full Lorentz group itself. In this paper, we study the quantization of the Yang–Mills theory, gaugeon formalism within the VSR framework. The gauge freedom is restored once we develop the gaugeon formalism. Also, the mass of corresponding gauge boson is modified because of the VSR effect. We find that the gaugeon formalism for Yang–Mills theory in VSR is consistent with the Lorentz invariant case except the fact that each field gets mass. We also discuss the generalization of BRST transformation within VSR framework. It is found that the gaugeon modes appear in the configuration space through the Jacobian of functional measure.