Pion polarizabilities and volume effects in lattice QCD

Jie Hu, Fu Jiun Jiang, Brian C. Tiburzi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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 current correlators 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 small momentum expansions are not permitted in finite volume. Our argument also applies to form factors. Volume effects for background field calculations of electromagnetic moments cannot be deduced from finite volume form factors.

Original languageEnglish
Article number014502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number1
DOIs
Publication statusPublished - 2008 Jan 9

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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