Relaxing Lorentz invariance in general perturbative anomalies

Abstract

We analyze the role of Lorentz symmetry in the perturbative non-gravitational anomalies for a single family of fermions. The theory is assumed to be translational invariant, power-counting renormalizable and based on a local action, but is allowed to have general Lorentz violating operators. We study the conservation of global and gauge currents associate with general internal symmetry groups and find, by using a perturbative approach, that Lorentz symmetry does not participate in the clash of symmetries that leads to the anomalies. We first analyze the triangle graphs and prove that there are regulators for which the anomalous part of the Ward identities exactly reproduces the Lorentz invariant case. Then we show, by means of a regulator independent argument, that the anomaly cancellation conditions derived in Lorentz invariant theories remain necessary ingredients for anomaly freedom.

18 pages, 1 figure. Few comments added. Article published in Physical Review D

References in corpus (7)

• Renormalization of Lorentz violating theories
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• Lectures on Anomalies
• UV stable, Lorentz-violating dark energy with transient phantom era
• On the renormalization of CPT/Lorentz violating QED in curved space
• Chiral Anomaly Beyond Lorentz Invariance

Cited by in corpus (2)

• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• CPT, Lorentz invariance and anomalous clash of symmetries