Nucleons Properties at Finite Lattice Spacing in Chiral Perturbation Theory

TL;DR

This paper analyzes nucleon properties like masses and magnetic moments within partially-quenched chiral perturbation theory at finite lattice spacing, aiding the extrapolation of lattice QCD simulation results to the continuum.

Contribution

It introduces a framework for studying nucleon properties at finite lattice spacing in chiral perturbation theory, improving the connection between lattice simulations and continuum physics.

Findings

Provides one-loop level calculations of nucleon properties at finite lattice spacing.

Facilitates extrapolation of Wilson and Ginsparg-Wilson quark simulation results to the continuum.

Enhances understanding of lattice artifacts in nucleon property computations.

Abstract

Properties of the proton and neutron are studied in partially-quenched chiral perturbation theory at finite lattice spacing. Masses, magnetic moments, the matrix elements of isovector twist-2 operators and axial-vector currents are examined at the one-loop level in a double expansion in the light-quark masses and the lattice spacing. This work will be useful in extrapolating the results of simulations using Wilson valence and sea quarks, as well as simulations using Wilson sea quarks and Ginsparg-Wilson valence quarks, to the continuum.