Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks

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 $\mathcal{O}({a}^{2})$, 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.