### Abstract

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.

Original language | English |
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Pages (from-to) | 350-357 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 653 |

Issue number | 2-4 |

DOIs | |

Publication status | Published - 2007 Sep 20 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*653*(2-4), 350-357. https://doi.org/10.1016/j.physletb.2007.07.060

**Current renormalization in finite volume.** / Hu, Jie; Jiang, Fu Jiun; Tiburzi, Brian C.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 653, no. 2-4, pp. 350-357. https://doi.org/10.1016/j.physletb.2007.07.060

}

TY - JOUR

T1 - Current renormalization in finite volume

AU - Hu, Jie

AU - Jiang, Fu Jiun

AU - Tiburzi, Brian C.

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.

UR - http://www.scopus.com/inward/record.url?scp=34548425532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548425532&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2007.07.060

DO - 10.1016/j.physletb.2007.07.060

M3 - Article

AN - SCOPUS:34548425532

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

SN - 0370-2693

IS - 2-4

ER -