The pion and proton mass in finite volume

Details The pion and proton mass in finite volume The pion and proton mass in finite volume

2005-12-02

arxiv.org/abs/hep-lat/0512002v1

Nucl.Phys.Proc.Suppl. 153 (2006) 41-48

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 figures, Talk given at the Workshop on Computational Hadron Physics, Cyprus, September 14-17, 2005

Scientific paper

10.1016/j.nuclphysbps.2006.01.00

We calculate the finite volume effects for the pion and nucleon mass. For the pion mass we present the results of a full two-loop calculation in chiral perturbation theory. The outcome shows that the resummed version of the Luscher formula we presented in an earlier work does indeed give an excellent approximation to the two-loop result. In view of this result we apply the same resummed formula to the nucleon mass. In the nucleon sector the extension of the chiral expansion to higher quark masses appears to be more problematic and it is therefore more difficult to make reliable predictions for the size of the finite volume effects. We present some preliminary numerical estimates.

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