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
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- Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
- Baryon electric dipole moments from strong CP violation
- Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
- Lattice QCD Simulations in External Background Fields
- A Method to Extract Charged Hadron Properties from Lattice QCD in Magnetic Fields
- Neutron in a Strong Magnetic Field: Finite Volume Effects
- Resonances in an external field: the 1+1 dimensional case
- Composite Vector Particles in External Electromagnetic Fields
- Charged pion electric polarizability from lattice QCD
- Nucleon in a periodic magnetic field: Finite-volume aspects
- Investigations of hadron structure on the lattice
- Background field approach to electromagnetic properties of baryons