Testing the Lorentz and CPT Symmetry with CMB polarizations and a non-relativistic Maxwell Theory

TL;DR

This paper proposes a non-relativistic Maxwell theory model that predicts Lorentz and CPT violations, which could cause observable polarization rotations in the cosmic microwave background, offering a new way to test fundamental symmetries.

Contribution

It introduces a Lifshitz-type non-relativistic Maxwell model linking quantum criticality to Lorentz and CPT violation effects on CMB polarization.

Findings

Predicts frequency-dependent polarization rotation in CMB

Provides a theoretical framework for Lorentz and CPT violation

Suggests potential observational signals in CMB data

Abstract

We present a model for a system involving a photon gauge field and a scalar field at quantum criticality in the frame of a Lifthitz-type non-relativistic Maxwell theory. We will show this model gives rise to Lorentz and CPT violation which leads to a frequency-dependent rotation of polarization plane of radiations, and so leaves potential signals on the cosmic microwave background temperature and polarization anisotropies.