Pion Polarizabilities and Volume Effects in Lattice QCD

Details Pion Polarizabilities and Volume Effects in Lattice QCD Pion Polarizabilities and Volume Effects in Lattice QCD

2007-09-13

arxiv.org/abs/0709.1955v1

Phys.Rev.D77:014502,2008

Physics

High Energy Physics

High Energy Physics - Lattice

5 figs., 19pp

Scientific paper

10.1103/PhysRevD.77.014502

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume dependence of electromagnetic observables is complicated by SO(4) breaking, as well as photon zero-mode interactions. We determine finite volume corrections to the Compton scattering tensor of pions. We argue, however, that such results cannot be used to ascertain volume corrections to polarizabilities determined in lattice QCD with background field methods. Connection is lacking because momentum expansions are not permitted in finite volume. Our argument also applies to form factors. Volume effects for electromagnetic moments cannot be deduced from finite volume form factors.

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