Path integral analysis of the axial anomaly in Very Special Relativity

Abstract

In this note, we revise the problem of the axial anomaly in the framework of Very Special Relativity following Fujikawa’s path integral approach. We show nonperturbatively that no VSR contribution is present in the path integral measure in (3 + 1)-dimensional spacetime. Furthermore, we extend our results to (1 + 1) dimensions, as well as to the two-dimensional curved spacetime.

Lorentz Violation in Finsler Geometry

“…Thus, the physical mass M does not vanish if λ = 0, even with m = 0. The field theory of symmetry SI M(2) and the Very Special Relativity Standard Model were developed by Alfaro et al [106][107][108][109][110][111][112][113][114][115][116][117][118][119] later. Interestingly, in the VSR field theory, a gauge-invariant photon mass [112] and graviton mass [115] are allowed.…”