Finite Isospin Chiral Perturbation Theory in a Magnetic Field

Abstract

The phase diagram of finite isospin, zero temperature QCD with the pions coupled to photons in a uniform external magnetic field is explored in the low field, small isospin density regime for which chiral perturbation theory is a valid description. For realistic pion masses, the system behaves as a type-II superconductor: a uniform superconducting state is formed at low-enough magnetic fields, a vortex state for intermediate magnetic fields and finally a normal state for large magnetic fields. In each these phases (including the vortex phase), the ${\pi }^0$ remains uncondensed just as in the zero-external field problem. The critical magnetic field where the phase transition from the uniform superconducting state to a vortex state occurs was found numerically.

9 pages, 4 figures

References in corpus (7)

• Physics of Strongly Magnetized Neutron Stars
• Superconductivity of QCD vacuum in strong magnetic field
• Chiral transition in a strong magnetic background
• Quark-hadron phase transition in a magnetic field
• The chiral condensate in a constant electromagnetic field
• Magnetic structure of isospin-asymmetric QCD matter in neutron stars
• The chiral condensate in a constant electromagnetic field at O(p^6)

Cited by in corpus (10)

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• Pion crystals hosting topologically stable baryons
• Quark and pion condensates at finite isospin density in chiral perturbation theory
• Competition of chiral soliton lattice and Abrikosov vortex lattice in QCD with isospin chemical potential
• Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Vortex solutions in the Abelian Higgs Model with a neutral scalar
• Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory
• Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field