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

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

2008-09-10

arxiv.org/abs/0809.1886v2

Phys.Lett.B674:336-343,2009

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/j.physletb.2009.03.040

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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