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25 April 2024
 
  » arxiv » 1706.7025

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Anomalous Lorentz and CPT violation from a local Chern-Simons-like term in the effective action
K.J.B. Ghosh ; F.R. Klinkhamer ;
Date 21 Jun 2017
AbstractWe consider four-dimensional chiral gauge theories defined over a spacetime manifold with the topology $mathbb{R}^3 imes S^1$. The effective gauge-field action is calculated for gauge-field configurations $A_mu(x)$ which depend on all four spacetime coordinates (including the coordinate $x^4in S^1$ of the compact dimension) and have a vanishing component $A_4$ (implying a vanishing holonomy along the $S^1$ direction). Our calculation shows that the effective 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.
Source arXiv, 1706.7025
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