More on axial anomalies of Lifshitz fermions

Abstract

We show that the gauge and metric field contribution to the axial anomaly of a four-dimensional massless Lifshitz fermion theory with anisotropy scaling exponent z is identical to the relativistic case, hereby extending the results found in arXiv:1103.5693 to arbitrary values of z. This is in accordance with the fact that the axial anomaly is an infra-red phenomenon in disguise. We also provide some new models that realize baryon and lepton number violation in non-relativistic theories of gravity. In all cases, the volume of space exhibits a lower bound that is fixed by the gravitational coupling parameters.

1+26 pages; a typo corrected and a small paragraph added in the appendix in v2

References in corpus (7)

• Massive Gravity in Three Dimensions
• Membranes at Quantum Criticality
• Born-Infeld extension of new massive gravity
• Axial anomalies of Lifshitz fermions
• Geometric flows in Horava-Lifshitz gravity
• Homogeneous vacua of (generalized) new massive gravity
• Gradient flows and instantons at a Lifshitz point

Cited by in corpus (8)

• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Lifshitz fermionic theories with z=2 anisotropic scaling
• Asymptotically free lattice gauge theory in five dimensions
• Entanglement Entropy with Lifshitz Fermions
• One-loop corrections in the z=3 Lifshitz extension of QED
• On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED
• CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term
• Generation of Carroll-Field-Jackiw term in the Functional Integral approach within Horava-Lifshitz $z=3$ CPT-violating QED