Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks

TL;DR

This paper develops a chiral perturbation theory framework for lattice QCD with mixed staggered sea quarks and Ginsparg-Wilson valence quarks, deriving the effective action and computing pseudoscalar properties at one loop.

Contribution

It introduces the leading order chiral Lagrangian for mixed lattice QCD with O(a^2) corrections, enabling more accurate theoretical predictions.

Findings

Derived the Symanzik effective action including O(a^2) terms.

Constructed the leading order chiral Lagrangian for the mixed theory.

Computed pseudoscalar masses and decay constants at one loop.

Abstract

We study lattice QCD with staggered sea and Ginsparg-Wilson valence quarks. The Symanzik effective action for this mixed lattice theory, including the lattice spacing contributions of O(a^2), is derived. Using this effective theory we construct the leading order chiral Lagrangian. The masses and decay constants of pseudoscalars containing two Ginsparg-Wilson valence quarks are computed at one loop order.