Finite volume corrections to LECs in Wilson and staggered ChPT

TL;DR

This paper calculates how finite volume and lattice spacing affect low energy constants in Wilson and staggered chiral perturbation theory, providing NLO corrections that help improve lattice QCD simulations.

Contribution

It derives NLO finite volume corrections to LECs in Wilson and staggered ChPT, showing how these corrections can be incorporated as effective LECs.

Findings

Finite volume corrections to LECs are computed at NLO.

Partition functions can be expressed as LO with renormalized LECs.

Results apply to N_f=2 Wilson and generic N_f staggered formulations.

Abstract

We study the simultaneous effect of finite volume and finite lattice spacing corrections in the framework of chiral perturbation theory (ChPT) in the epsilon regime, for both the Wilson and staggered formulations. In particular the finite volume corrections to the low energy constants (LECs) in Wilson and staggered ChPT are computed to next-to-leading order (NLO) in the \epsilon-expansion. For Wilson with N_f = 2 flavours and staggered with generic N_f the partition function at NLO can be rewritten as the LO partition function with renormalized effective LECs.