Chiral perturbation theory for lattice QCD including O(a^2)
O. Baer, G. Rupak, N. Shoresh

TL;DR
This paper develops the chiral perturbation theory framework for lattice QCD, incorporating O(a^2) corrections, and extends it to partially quenched and mixed fermion theories, enhancing theoretical precision.
Contribution
It constructs the O(a^2) terms in the chiral effective Lagrangian for Wilson fermions and generalizes to various lattice QCD formulations.
Findings
Derived O(a^2) contributions to the chiral Lagrangian.
Extended formalism to partially quenched and mixed lattice theories.
Provides a foundation for more accurate lattice QCD simulations.
Abstract
The O(a^2) contributions to the chiral effective Lagrangian for lattice QCD with Wilson fermions are constructed. The results are generalized to partially quenched QCD with Wilson fermions as well as to the "mixed'' lattice theory with Wilson sea quarks and Ginsparg-Wilson valence quarks.
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