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arxiv: 0809.1886 · v2 · pith:IQ2XJ4QLnew · submitted 2008-09-10 · ✦ hep-lat · hep-ph· nucl-th

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

classification ✦ hep-lat hep-phnucl-th
keywords volumeeffectselectricfieldsmagneticpionconstantcorrections
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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.

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