TY - JOUR
T1 - Current renormalization in finite volume
AU - Hu, Jie
AU - Jiang, Fu Jiun
AU - Tiburzi, Brian C.
N1 - Funding Information:
We thank W. Detmold, B. Smigielski, and especially T. Mehen for various discussions. This work is supported in part by the US Department of Energy, Grant No. DE-FG02-05ER41368-0 (J.H. and B.C.T.) and by the Schweizerischer Nationalfonds (F.-J.J.).
PY - 2007/9/20
Y1 - 2007/9/20
N2 - For finite volume field theories with discrete translational invariance, conserved currents can be additively renormalized by infrared effects. We demonstrate this for pions using chiral perturbation theory coupled to electromagnetism in a periodic box. Gauge invariant single particle effective theories are constructed 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.
AB - For finite volume field theories with discrete translational invariance, conserved currents can be additively renormalized by infrared effects. We demonstrate this for pions using chiral perturbation theory coupled to electromagnetism in a periodic box. Gauge invariant single particle effective theories are constructed 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.
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U2 - 10.1016/j.physletb.2007.07.060
DO - 10.1016/j.physletb.2007.07.060
M3 - Article
AN - SCOPUS:34548425532
SN - 0370-2693
VL - 653
SP - 350
EP - 357
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 2-4
ER -