On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED

Abstract

We show the absence of the ABJ anomaly for the Horava-Lifshitz-like QED with any even $z$. Besides of this, we study the graph contributing to the ABJ anomaly at non-zero temperature and extend the Fujikawa's methodology of studying the integral measure for our model.

9 pages, version accepted to EPL

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Renormalization group in Lifshitz-type theories
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Weighted power counting and Lorentz violating gauge theories. II: Classification
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• On the effective potential for Horava-Lifshitz-like theories with the arbitrary critical exponent
• On the effective potential, Horava-Lifshitz-like theories and finite temperature
• On one-loop corrections in the Horava-Lifshitz-like QED
• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories

Cited by in corpus (4)

• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• Path integral analysis of the axial anomaly in Very Special Relativity
• Generation of Carroll-Field-Jackiw term in the Functional Integral approach within Horava-Lifshitz $z=3$ CPT-violating QED
• CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term