5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure

TL;DR

This paper investigates a 5D SU(2) lattice gauge theory with Z2 orbifolding, exploring its phase structure, the role of a new stick symmetry, and the emergence of U(1) symmetries, extending to more general gauge groups.

Contribution

It introduces the concept of a stick symmetry in orbifolded gauge theories and analyzes the phase structure and symmetry relations, including extensions beyond SU(2).

Findings

Identification of a new stick symmetry aiding phase transition understanding

Relation between bulk transitions and the Fradkin-Shenker phase diagram

Persistence of U(1) symmetries in the orbifolded extra dimension

Abstract

In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the new symmetry which is called as a stick symmetry is useful in understanding the bulk transition. We discuss the relation with the Fradkin-Shenker's phase diagram as well. A remnant of the extra dimension is remained as two U(1) gauge symmetries in two 4-dimensional spaces. We also consider more general bulk gauge groups beyond SU(2).