Improved Superlinks for Higher Spin Operators

TL;DR

This paper introduces a novel superlink construction method using matrix multiplications, enabling gluonic propagation in arbitrary directions, and applies it to compute higher-spin glueball spectra in SU(2) gauge theory.

Contribution

A new superlink construction method that improves higher spin operator analysis by allowing arbitrary directional gluonic propagation.

Findings

Successfully computed glueball spectrum up to spin 6

Demonstrated the method's effectiveness in SU(2) gauge theory

Enhanced resolution of higher spin states

Abstract

Traditional smearing or blocking techniques serve well to increase the overlap of operators onto physical states but allow for links orientated only along lattice axes. Recent attempts to construct more general propagators have shown promise at resolving the higher spin states but still rely on iterative smearing. We present a new method of superlink construction which creates meared links from (sparse) matrix multiplications, allowing for gluonic propagation in arbitrary directions. As an application and example, we compute the positive-parity, even-spin glueball spectrum up to spin 6 for pure gauge SU(2) at beta = 6, L = 16, in D = 2+1 dimensions.