Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
arXiv:0809.1886 · doi:10.1016/j.physletb.2009.03.040
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.
16 pages, 6 figures, PQ results added, discussion improved
References in corpus (8)
- Neutron electric polarizability from unquenched lattice QCD using the background field approach
- Neutron electric dipole moment with external electric field method in lattice QCD
- Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
- Hadrons in Strong Electric and Magnetic Fields
- External Momentum, Volume Effects, and the Nucleon Magnetic Moment
- Pion Polarizabilities and Volume Effects in Lattice QCD
- Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
- Current Renormalization in Finite Volume