Finite volume effects for the pion mass at two loops
High Energy Physics - Lattice
2009-11-11 v1 High Energy Physics - Phenomenology
Abstract
We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Luscher. We find that contributions, which were neglected in the latter, are numerically very small at the two-loop level and conclude that for Mpi*L>2, L>2fm the finite volume effects in the meson sector are analytically well under control.
Cite
@article{arxiv.hep-lat/0602017,
title = {Finite volume effects for the pion mass at two loops},
author = {Gilberto Colangelo and Christoph Haefeli},
journal= {arXiv preprint arXiv:hep-lat/0602017},
year = {2009}
}
Comments
26 pages, 6 figures