Glueball masses with exponentially improved statistical precision

TL;DR

This paper introduces an improved computational method for calculating glueball masses that significantly reduces statistical errors, enabling more precise measurements of lightest glueballs using symmetry-based techniques.

Contribution

The authors develop a novel approach leveraging global symmetries to exponentially improve the statistical precision in glueball mass computations, extending previous work to multiple symmetries.

Findings

Successful extraction of 0++, 2++, 0-+ glueball masses with enhanced accuracy

Demonstration of exponential error reduction compared to standard methods

Updated numerical results confirming method effectiveness

Abstract

We briefly review the computational strategy we have recently introduced for computing glueball masses and matrix elements, which achieves an exponential reduction of statistical errors compared to standard techniques. The global symmetries of the theory play a crucial role in the approach. We show how our previous work on parity can be generalized to other symmetries. In particular we discuss how to extract the mass of the 0++, 2++ and 0-+ lightest glueballs avoiding the exponential degradation of the signal to noise ratio. We present new numerical results and update the published ones.