Partially quenched chiral perturbation theory and numerical simulations

TL;DR

This paper compares numerical simulation results of pseudoscalar meson properties with one-loop partially quenched chiral perturbation theory, observing chiral logarithms and fitting parameters close to continuum expectations despite a large lattice spacing.

Contribution

It provides the first detailed comparison of PQChPT predictions with numerical lattice data for pseudoscalar mesons at relatively coarse lattice spacing.

Findings

Observation of characteristic chiral logarithms in simulation data.

Fitted PQChPT parameters are close to continuum expectations.

Validation of PQChPT applicability at a=0.28 fm.

Abstract

The dependence of the pseudoscalar meson mass and decay constant is compared to one-loop Partially Quenched Chiral Perturbation Theory (PQChPT) in a numerical simulation with two light dynamical quarks. The characteristic behaviour with chiral logarithms is observed. The values of the fitted PQChPT-parameters are in a range close to the expectation in continuum in spite of the fact that the lattice spacing is still large, namely a=0.28 fm.