Hosotani mechanism in higher dimensional Lee-Wick theory

TL;DR

This paper explores how the Hosotani mechanism induces symmetry breaking in higher-dimensional Lee-Wick theories, revealing modifications in phase diagrams and particle masses at one-loop level due to Lee-Wick particle masses.

Contribution

It provides the first analysis of the Hosotani mechanism within higher-dimensional Lee-Wick theories at one-loop level, highlighting the impact of Lee-Wick particle masses.

Findings

Symmetry and mass phase diagrams are altered when Lee-Wick particle masses are comparable to the inverse compactification scale.

The study demonstrates the significance of Lee-Wick particle masses in the symmetry breaking process.

One-loop corrections modify the original symmetry breaking patterns in the toy model.

Abstract

Hosotani mechanism in higher-dimensional Lee-Wick theory is investigated. The symmetry breaking mechanism proposed by Hosotani is studied at one-loop level through a toy model in this theory. We find that the phase diagram of symmetry and masses of fields are modified from the original one if masses of Lee-Wick particles are in the same order of the inverse of the compactification scale.