Lorentz invariance violation (LIV) in some basic phenomena in quantum physics

TL;DR

This paper investigates how violations of Lorentz invariance affect fundamental atomic phenomena, providing theoretical corrections and bounds on LIV coefficients in hydrogen and helium spectra, with implications for fundamental physics.

Contribution

It introduces a method to incorporate LIV into atomic physics calculations and derives bounds on LIV coefficients from atomic spectral effects.

Findings

LIV causes measurable shifts in hydrogen and helium spectra.

Upper bounds on LIV coefficients are established from atomic phenomena.

Modified Coulomb potential impacts Stark, Zeeman, and spin-orbit effects.

Abstract

Lorentz symmetry is one of the cornerstone of both general relativity and the standard model of particle physics. We study the violation of Lorentz symmetry in some basic phenomena in atomic physics. Using the Green's function, and the source 4-current, the differential equation of 4-vector of electromagnetic potential is solved and the modified coulomb potential is obtained by some researchers. Using modified Coulomb potential, we find the corrections due to LIV on the spectrum of Hydrogen and Helium atoms. We also investigate the consequences of LIV on Stark, Zeeman and Spin orbit effects and obtain some upper bounds for the LIV coefficients.