### 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 language | English |
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Journal | Proceedings of Science |

Volume | 66 |

Publication status | Published - 2008 Jan 1 |

Event | 26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States Duration: 2008 Jul 14 → 2008 Jul 19 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*66*.

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

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 66.

}

TY - JOUR

T1 - Pion physics at finite volume

AU - Hu, Jie

AU - Jiang, F. -J.

AU - Tiburzi, Brian C.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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.

AB - 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.

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M3 - Conference article

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -