Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension

TL;DR

This paper explores how Lorentz symmetry violation in the Standard Model Extension can induce relativistic geometric quantum phases in neutral particles, extending the understanding of quantum phases under fundamental symmetry violations.

Contribution

It introduces relativistic analogues of the Anandan quantum phase arising from Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension.

Findings

Relativistic quantum phases are derived for neutral particles under Lorentz violation.

The study connects Lorentz symmetry violation with observable quantum phase effects.

New theoretical framework for quantum phases influenced by fundamental symmetry breaking.

Abstract

We discuss the appearance of relativistic geometric quantum phases for a Dirac neutral particle based on possible scenarios of the Lorentz symmetry violation background in the CPT-even gauge sector of Standard Model Extension. Relativistic analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained based on the the parity-even and parity-odd sectors of the tensor $\left(K_{F}\right)_{\mu\nu\alpha\beta}$.