Pion physics at finite volume

Jie Hu, F. -J. Jiang, Brian C. Tiburzi

Research output: Contribution to journalConference article

Abstract

We use chiral perturbation theory coupled to electromagnetism in a periodic box to study the impact of volume corrections on pion physics in lattice QCD. We demonstrate that conserved currents can be additively renormalized by infrared effects and construct gauge invariant single particle effective theories to explain these results. In such theories, current renormalization arises from operators involving the zero mode of the gauge field. No contradictions with Ward identities, or low-energy theorems are encountered. We also investigate finite volume corrections to the Compton scattering tensor to study the extraction of pion electromagnetic polarizabilities from lattice QCD. 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.

Original languageEnglish
JournalProceedings of Science
Volume66
Publication statusPublished - 2008 Jan 1
Event26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States
Duration: 2008 Jul 142008 Jul 19

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pions
physics
quantum chromodynamics
electromagnetism
boxes
form factors
theorems
perturbation theory
tensors
momentum
operators
expansion
scattering
energy

ASJC Scopus subject areas

  • General

Cite this

Pion physics at finite volume. / Hu, Jie; Jiang, F. -J.; Tiburzi, Brian C.

In: Proceedings of Science, Vol. 66, 01.01.2008.

Research output: Contribution to journalConference article

Hu, Jie ; Jiang, F. -J. ; Tiburzi, Brian C. / Pion physics at finite volume. In: Proceedings of Science. 2008 ; Vol. 66.
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