English

Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields

High Energy Physics - Lattice 2009-05-18 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral perturbation theory. Among such corrections are the finite volume shifts to the electric and magnetic polarizabilities, which are numerically shown to be non-negligible. We additionally find that all terms in the single-particle effective action can be renormalized by infrared effects. This includes Born couplings to the pion current and total charge-squared, which can be renormalized due to the nature of gauge invariance on a torus.

Keywords

Cite

@article{arxiv.0809.1886,
  title  = {Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields},
  author = {Brian C. Tiburzi},
  journal= {arXiv preprint arXiv:0809.1886},
  year   = {2009}
}

Comments

16 pages, 6 figures, PQ results added, discussion improved

R2 v1 2026-06-21T11:19:02.880Z