On the finite size mass shift formula for stable particles

Details On the finite size mass shift formula for stable particles On the finite size mass shift formula for stable particles

2004-06-21

arxiv.org/abs/hep-lat/0406034v3

Nucl.Phys. B713 (2005) 575-597

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 10 figures, derivation of formulae reconsidered, results unchanged, version to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2005.01.053

Luescher's finite size mass shift formula in a periodic finite volume, involving forward scattering amplitudes in the infinite volume, is revisited for the two stable distinguishable particle system. The generalized mass shift formulae for the boson and fermion are derived in the boson-boson and fermion-boson systems, respectively. The nucleon mass shift formula is given in the nucleon-pion system and the relation to the computation within chiral perturbation theory is discussed.

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