U(1) lattice gauge theory and N=2 supersymmetric Yang-Mills theory

TL;DR

This paper explores the connection between four-dimensional U(1) lattice gauge theory and softly broken N=2 supersymmetric SU(2) Yang-Mills theory, providing theoretical explanations for observed critical exponents and state assignments.

Contribution

It offers a novel theoretical perspective linking lattice gauge theory with supersymmetric Yang-Mills theory, explaining critical exponents and state properties observed in simulations.

Findings

Critical exponents 1/3, 5/11, and 1/2 are supported by theoretical arguments.

The J^{CP} assignment of low-lying states is naturally explained.

The work aligns theoretical predictions with numerical simulation results.

Abstract

We discuss the physics of four-dimensional compact U(1) lattice gauge theory from the point of view of softly broken N=2 supersymmetric SU(2) Yang-Mills theory. We provide arguments in favor of (pseudo-)critical mass exponents 1/3, 5/11 and 1/2, in agreement with the values observed in the computer simulations. We also show that the J^{CP} assignment of some of the lowest lying states can be naturally explained.