Effective Field Theory for the Anisotropic Wilson Lattice Action

TL;DR

This paper develops an effective field theory for anisotropic Wilson lattice actions, analyzing low-energy hadron behavior and highlighting important considerations for tuning parameters in anisotropic lattice simulations.

Contribution

It introduces an effective field theory tailored for anisotropic Wilson lattice actions and explores its implications for hadron spectra and lattice tuning.

Findings

Effective field theory describes low-energy behavior of anisotropic Wilson lattices.

Anisotropic lattices can be in different regimes than isotropic ones for the same parameters.

Implications for parameter tuning in lattice QCD simulations.

Abstract

We construct the effective field theory appropriate for describing the low energy behavior of anisotropic Wilson lattice actions and the O(a) improved variant thereof. We then apply this effective field theory to the hadron spectrum and dispersion relations, focussing on the corrections due to the anisotropy. We point out an important feature of anisotropic lattices regarding the Aoki-regime; for a given set of fermion masses and spatial lattice spacing, if an isotropic action is in the QCD-phase, this does not guarantee that the anisotropic action is outside the Aoki-regime. This may be important in the tuning of bare parameters for anisotropic lattices using domain-wall and overlap fermions as well as Wilson and O(a)-improved Wilson fermions.