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arXiv · 1706.07025

Anomalous Lorentz and CPT violation from a local Chern-Simons-like term in the effective gauge-field action

K. J. B. Ghosh·F. R. Klinkhamer
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Abstract

We consider four-dimensional chiral gauge theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times S^1$ and periodic boundary conditions over the compact dimension. The effective gauge-field action is calculated for Abelian $U(1)$ gauge fields $A_μ(x)$ which depend on all four spacetime coordinates (including the coordinate $x^{4}\in S^1$ of the compact dimension) and have vanishing components $A_{4}(x)$ (implying trivial holonomies in the 4-direction). Our calculation shows that the effective gauge-field action contains a local Chern-Simons-like term which violates Lorentz and CPT invariance. This result is established perturbatively with a generalized Pauli-Villars regularization and nonperturbatively with a lattice regularization based on Ginsparg-Wilson fermions.

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K. J. B. Ghosh, F. R. Klinkhamer. 2017-11-24. Anomalous Lorentz and CPT violation from a local Chern-Simons-like term in the effective gauge-field action. https://doi.org/10.1016/j.nuclphysb.2017.11.010

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