Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field

Abstract

We present two-loop results for the quark condensate in an external magnetic field within chiral perturbation theory using coordinate space techniques. At finite temperature, we explore the impact of the magnetic field on the pion-pion interaction in the quark condensate for arbitrary pion masses and derive the correct weak magnetic field expansion in the chiral limit. At zero temperature, we provide the complete two-loop representation for the vacuum energy density and the quark condensate.

27 pages, 4 figures

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Cited by in corpus (9)

• Confining and chiral properties of QCD in extremely strong magnetic fields
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Hot perturbative QCD in a very strong magnetic background
• Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
• Density dependence of the quark condensate in isospin-asymmetric nuclear matter
• Thermomagnetic Properties of QCD
• Quark models: What can they teach us?
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field