More on axial anomalies of Lifshitz fermions

Details More on axial anomalies of Lifshitz fermions More on axial anomalies of Lifshitz fermions

2011-10-06

arxiv.org/abs/1110.1332v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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