Finite volume effects for the pion mass at two loops
arXiv:hep-lat/0602017 · doi:10.1016/j.nuclphysb.2006.03.010
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.
26 pages, 6 figures