Gauge-Higgs Unification in Lifshitz Type Gauge Theory

TL;DR

This paper explores gauge-Higgs unification within Lifshitz type gauge theories, demonstrating how higher derivative terms influence the effective potential and can significantly alter the Higgs mass and vacuum expectation value.

Contribution

It introduces a framework for gauge-Higgs unification in Lifshitz gauge theories, analyzing the impact of higher order derivatives on the effective potential and Higgs properties.

Findings

Higher derivative terms can increase the Higgs mass.

These terms can drastically change the Higgs vacuum expectation value.

The paper provides mathematical tools for evaluating the one-loop effective potential.

Abstract

We discuss the gauge-Higgs unification in a framework of Lifshitz type gauge theory. We study a higher dimensional gauge theory on R^{D-1}\times S^{1} in which the normal second (first) order derivative terms for scalar (fermion) fields in the action are replaced by higher order derivative ones for the direction of the extra dimension. We provide some mathematical tools to evaluate a one-loop effective potential for the zero mode of the extra component of a higher dimensional gauge field and clarify how the higher order derivative terms affect the standard form of the effective potential. Our results show that they can make the Higgs mass heavier and change its vacuum expectation value drastically. Some extensions of our framework are briefly discussed.