Finite volume corrections to LECs in Wilson and staggered ChPT

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.

Comments: 7 pages, Proceedings of 30th International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia