Sum Rules and Cutoff Effects in Wilson Lattice QCD

TL;DR

This paper derives non-perturbative sum rules in Wilson lattice QCD using transfer matrix formalism, addressing discretization errors and demonstrating their use in improving continuum spectrum and static potential estimates.

Contribution

It introduces a non-perturbative approach to sum rules in Wilson lattice QCD and details how to handle discretization errors for better physical predictions.

Findings

Sum rules are derived non-perturbatively.

Discretization errors are analyzed in detail.

Sum rules improve estimates of continuum spectrum and static potential.

Abstract

We use the transfer matrix formalism to derive non-perturbative sum rules in Wilson's lattice QCD with N_f flavours of quarks. The discretization errors on these identities are treated in detail. As an application, it is shown how the sum rules can be exploited to give improved estimates of the continuum spectrum and static potential.