Current renormalization in finite volume

Jie Hu; Fu Jiun Jiang; Brian C. Tiburzi

doi:10.1016/j.physletb.2007.07.060

Current renormalization in finite volume

Jie Hu
, Fu Jiun Jiang
, Brian C. Tiburzi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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
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	https://doi.org/10.1016/j.physletb.2007.07.060
Publication status	Published - 2007 Sept 20
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2007.07.060

Cite this

@article{fb8d80e69a3d41d3bfb43b5a7f00d674,

title = "Current renormalization in finite volume",

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.",

author = "Jie Hu and Jiang, \{Fu Jiun\} and Tiburzi, \{Brian C.\}",

note = "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.). ",

year = "2007",

month = sep,

day = "20",

doi = "10.1016/j.physletb.2007.07.060",

language = "English",

volume = "653",

pages = "350--357",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier BV",

number = "2-4",

}

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.

UR - https://www.scopus.com/pages/publications/34548425532

UR - https://www.scopus.com/pages/publications/34548425532#tab=citedBy

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 -

Current renormalization in finite volume

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this