Current Renormalization in Finite Volume
arXiv:0706.3408 · doi:10.1016/j.physletb.2007.07.060
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.
15pp., 4 figs, wording and discussion improved
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Cited by in corpus (12)
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- Extracting Electric Polarizabilities from Lattice QCD
- Chiral extrapolations for nucleon electric charge radii
- External Momentum, Volume Effects, and the Nucleon Magnetic Moment
- Pion Polarizabilities and Volume Effects in Lattice QCD
- Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
- Finite Volume Effects on the Extraction of Form Factors at Zero Momentum
- Finite-volume corrections to charge radii
- Resonances in an external field: the 1+1 dimensional case
- Nucleon in a periodic magnetic field: Finite-volume aspects
- Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
- Background field approach to electromagnetic properties of baryons