Pion polarizabilities and volume effects in lattice QCD

Journal Article · Tue Jan 01 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.014502· OSTI ID:21035723

Jie, Hu ^[1]; Fujiun, Jiang ^[2]; Tiburzi, Brian C ^[1]

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1. Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708-0305 (United States)
2. Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

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.

• OSTI ID: 21035723
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPTON EFFECT
COMPUTERIZED SIMULATION
CORRECTIONS
FORM FACTORS
LATTICE FIELD THEORY
PERTURBATION THEORY
PHOTONS
PIONS
POLARIZABILITY
QUANTUM CHROMODYNAMICS
SO-4 GROUPS
TENSORS