4.7 Article

Volume effects for pion two-point functions in constant electric and magnetic fields

Journal

PHYSICS LETTERS B
Volume 674, Issue 4-5, Pages 336-343

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2009.03.040

Keywords

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Funding

  1. US Department of Energy [DE-FG02-93ER-40762]

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We compute finite volume effects relevant for lattice QCD simulations using quantized 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. (C) 2009 Elsevier B.V. All rights reserved.

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