Detectability of Lorentz-violating potentials in a unified model of fermions

TL;DR

This paper investigates whether large fermion-potentials in a unified fermion model can be detected through various experimental tests, concluding they are likely undetectable by current methods.

Contribution

It analyzes the detectability of fermion-potentials within an effective field theory framework, highlighting their large magnitudes and limited observable effects.

Findings

Fermion-potentials are represented similarly to $a$-coefficients but are much larger.

Current experimental tests are unlikely to detect these potentials.

Fermion-potentials do not cause observable deviations in energy-momentum conservation, neutrino oscillations, CPT violation, or gravitational effects.

Abstract

The detectability of the fermion-potentials appearing in a unified model of fermions is discussed from the viewpoint of an effective field theory. Although the fermion-potentials are effectively represented as terms similar to the $a$-coefficients in the theory of standard-model extension, their magnitudes are very large and their physical implications are different. A possibility is shown that the fermion-potentials are detectable by neither the deviations from conventional energy-momentum conservations, the neutrino-oscillations, the CPT-violation in neutral meson systems, nor the gravitational effects.