The Combination of Wilson Loops into $J^{PC}$ Operators in Lattice Pure Gauge Theory

TL;DR

This paper develops a general method for combining Wilson loops into irreducible $J^{PC}$ operators in lattice gauge theory, facilitating more accurate calculations of glueball masses.

Contribution

It introduces a universal computational procedure for combining Wilson loops into irreducible representations of the $O^{PC}$ group for arbitrary-link loops.

Findings

Provides a systematic method for constructing $J^{PC}$ operators from Wilson loops.

Applicable to any finite group, enhancing flexibility in lattice gauge calculations.

Aims to improve the accuracy of glueball mass determinations.

Abstract

To calculate the mass of glueballs with quantum number $J^{PC}$ in lattice gauge theory by using Wilson loops, we discuss their combinations of Wilson loops into irreducible representation of $O^{PC}$ group for arbitry-link wilson loops. We present a general computational procedure for this combination which is suitable for any finite groups.