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

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.