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 (31)

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• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Dimensional Reduction and Dynamical Chiral Symmetry Breaking by a Magnetic Field in $3+1$ Dimensions
• Quark condensate in a magnetic field
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• The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field
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Cited by in corpus (32)

• Numerical evidence of chiral magnetic effect in lattice gauge theory
• The NRQED lagrangian at order 1/M^4
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
• Extracting Electric Polarizabilities from Lattice QCD
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Lattice QCD Simulations in External Background Fields
• Chiral phase transition in relativistic heavy-ion collisions with weak magnetic fields: ring diagrams in the linear sigma model
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• A Method to Extract Charged Hadron Properties from Lattice QCD in Magnetic Fields
• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
• Octet Baryons in Large Magnetic Fields
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Neutron in a Strong Magnetic Field: Finite Volume Effects
• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Charged pion electric polarizability from four-point functions in lattice QCD
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field
• Charged pion electric polarizability from lattice QCD
• Background Electromagnetic Fields and NRQED Matching: Scalar Case
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• Diquark and nucleons under strong magnetic fields in the NJL model
• Electric Polarizabilities from Lattice QCD
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Strongly interacting matter in extreme magnetic fields
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Background field approach to electromagnetic properties of baryons
• Generation of strong magnetic fields in old neutron stars accounting for continuous chiral magnetic effect
• One-pion exchange potential in a strong magnetic field
• Vacuum free energy, quark condensate shifts and magnetization in three-flavor chiral perturbation theory to $\mathcal{O}(p^6)$ in a uniform magnetic field
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field