The renormalised quark mass in the Schrodinger functional of lattice QCD - a one-loop calculation with a non-vanishing background field

TL;DR

This paper calculates the critical quark mass and renormalisation constants in lattice QCD using the Schrödinger functional scheme with a background field, providing one-loop perturbative results and comparisons to the zero-background case.

Contribution

It presents the first one-loop perturbative calculation of the critical quark mass and renormalisation constants in the Schrödinger functional scheme with a non-zero background field.

Findings

Critical quark mass computed at one-loop order with background field.

Renormalisation constants for pseudo scalar density calculated and compared.

Discretisation errors analyzed and contrasted with zero-background results.

Abstract

The critical quark mass, at which the renormalised mass vanishes, is computed in the Schrodinger functional scheme with a non vanishing background field at one-loop order of perturbation theory. Further one-loop calculations are done for the renormalisation constant of the pseudo scalar density and for several discretisation errors and compared to results obtained with a vanishing background field.