The pion mass in finite volume to two loops

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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6 pages, 2 figures, Talk presented at Lattice 2005 (Hadron spectrum and quark masses)

Scientific paper

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.

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