Glueball masses from an infrared moment problem and nonperturbative Landau gauge

TL;DR

This paper develops an infrared moment problem approach within the Refined Gribov-Zwanziger framework to estimate scalar, pseudoscalar, and tensor glueball masses in Yang-Mills theories, aligning well with lattice results.

Contribution

It introduces a novel infrared moment problem method using RGZ Landau gauge to estimate glueball masses from nonperturbative gauge physics.

Findings

Estimated glueball masses are approximately 1.96, 2.04, and 2.19 GeV.

Mass hierarchy m_{0++}<m_{2++}<m_{0-+} is recovered.

Results are within 20% of lattice data.

Abstract

We set up an infrared-based moment problem to obtain estimates of the masses of the scalar, pseudoscalar and tensor glueballs in Euclidean Yang-Mills theories using the Refined Gribov-Zwanziger (RGZ) version of the Landau gauge, which takes into account nonperturbative physics related to gauge copies. Employing lattice input for the mass scales of the RGZ gluon propagator, the lowest order moment problem approximation gives the values m_{0++}\approx 1.96 GeV, m_{2++} \approx 2.04 GeV and m_{0-+}\approx 2.19 GeV in the SU(3) case, all within a 20% range of the corresponding lattice values. We also recover the mass hierarchy m_{0++}<m_{2++}<m_{0-+}.