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-dimesional curved spacetime.

10 pages, no figures; matches MPLA published version. arXiv admin note: text overlap with arXiv:2011.10649

References in corpus (13)

• Very Special Relativity
• A Lorentz-Violating Origin of Neutrino Mass?
• Electroweak standard model with very special relativity
• Very Special Relativity in Curved Space-Times
• Chiral Anomaly Beyond Lorentz Invariance
• Very Special (de Sitter) Relativity
• Quantum Gauge Freedom in Very Special Relativity
• Relaxing Lorentz invariance in general perturbative anomalies
• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• Axion Mass Bound in Very Special Relativity
• Tree-level processes in very special relativity
• On the axial anomaly in Very Special Relativity
• Axial-Anomaly in Noncommutative QED and Pauli-Villars Regularization

Cited by in corpus (1)

• Lorentz Violation in Finsler Geometry