Lorentz Violation and the Yukawa Potential

TL;DR

This paper investigates how Lorentz violations affect the Yukawa potential in quantum field theory, deriving modifications to the potential and exploring implications for macroscopic force searches.

Contribution

It provides a comprehensive analysis of Lorentz violation effects on the Yukawa potential and their impact on scattering and bound states, extending previous models.

Findings

Modified Yukawa potentials due to Lorentz violation are derived.

Certain types of Lorentz violation lead to specific potential modifications.

Results may inform searches for non-Lorentz-invariant macroscopic forces.

Abstract

We analyze Lorentz violations in the bosonic sector of a Yukawa-type quantum field theory. The nonrelativistic potential may be determined to all orders in the Lorentz violation, and we find that only specific types of modifications to the normal Yukawa potential can be generated. The influence of this modified potential on scattering and bounds states is calculated. These results could be relevant to the search for new macroscopic forces, which may not necessarily be Lorentz invariant.