Hadrons in Strong Electric and Magnetic Fields

Abstract

We use chiral perturbation theory to investigate hadronic properties in strong electric and magnetic fields. A strong-field power counting is employed, and results for pions and nucleons are obtained using Schwinger's proper-time method. In the limit of weak fields, we accordingly recover the well known one-loop chiral perturbation theory results for the electric and magnetic polarizabilities of pions and nucleons. In strong constant fields, we extend the Gell-Mann-Oakes-Renner relation. For the case of electric fields, we find that non-perturbative effects result in hadron decay. For sufficiently strong magnetic fields, the chiral analysis confirms that the nucleon hierarchy becomes inverted giving rise to proton beta-decay. Properties of asymptotic expansions are explored by considering weak field limits. In the regime where the perturbative expansion breaks down, the first-order term gives the best agreement with the non perturbative result.

37 pages, 11 figures. Version to be published, a few clarifications and references added

References in corpus (5)

• Axial anomaly and magnetism of nuclear and quark matter
• The chiral condensate in a constant electromagnetic field
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• The K+K+ Scattering Length from Lattice QCD
• The chiral condensate in a constant electromagnetic field at O(p^6)

Cited by in corpus (2)

• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields