TY - JOUR

T1 - Pion physics at finite volume

AU - Hu, Jie

AU - Jiang, Fu Jiun

AU - Tiburzi, Brian C.

N1 - Funding Information:
This work is supported in part by the U.S. Dept. of Energy, Grant Nos. DE-FG02-05ER-41368-0 (J.H. and B.C.T.), DE-FG02-93ER-40762 (B.C.T), and by the Schweizerischer Nationalfonds (F.-J.J.).
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2008

Y1 - 2008

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.

UR - http://www.scopus.com/inward/record.url?scp=85055329149&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055329149&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055329149

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 26th International Symposium on Lattice Field Theory, LATTICE 2008

Y2 - 14 July 2008 through 19 July 2008

ER -