Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions

TL;DR

This paper investigates how certain dimension-five Lorentz-violating interactions affect spinor electrodynamics, modifies Maxwell equations, and analyzes their impact on hydrogen atom energy levels, finding insensitivity to Lorentz boost symmetry breakdown.

Contribution

It introduces specific dimension-five Lorentz-violating interactions in spinor electrodynamics and examines their effects on electromagnetic properties and hydrogen spectrum.

Findings

Effective polarization and magnetization are derived from modified Maxwell equations.

Hydrogen energy levels are unaffected by Lorentz-violating operators in first-order perturbation.

The study shows insensitivity of hydrogen spectrum to Lorentz boost symmetry breaking.

Abstract

Assuming Lorentz symmetry is broken by some fixed vector background, we study the spinor electrodynamics modified by two dimension-five Lorentz-violating interactions between fermions and photons. The effective polarization and magnetization are identified from the modified Maxwell equations, and the theoretical consequences are investigated. We also compute the corrections to the relativistic energy levels of hydrogen atom induced by these Lorentz-violating operators in the absence and presence of uniform external fields in first-order perturbation theory. We find that the hydrogen spectrum is insensitive to the breakdown of Lorentz boost symmetry.