Quark Condensate in a Weak Magnetic Field

Abstract

The low-temperature representation for the quark condensate in a weak magnetic field $H$ is known up to two-loop order. Remarkably, at one-loop order, the published series for the quark condensate in the chiral limit and $H\ll T^2$ are inconsistent. Using an alternative representation for the kinematical Bose functions, we derive the series to arbitrary order in $H/T^2$, and also determine which of the published results is correct.

17 pages, 1 figure

References in corpus (10)

• QCD Phase Transition in a Strong Magnetic Background
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Chiral Properties of Strong Interactions in a Magnetic Background
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Properties of Mesons in a Strong Magnetic Field
• Magnetic catalysis in nuclear matter
• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• QCD thermodynamics and magnetization in nonzero magnetic field
• Quantum Chromodynamics, Antiferromagnets and XY Models from a Unified Point of View
• Thermodynamics of the $d$=3+1 Quantum XY Model

Cited by in corpus (5)

• Thermoelectric response of a weakly magnetized thermal QCD medium
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• Density dependence of the quark condensate in isospin-asymmetric nuclear matter
• Thermomagnetic Properties of QCD
• Pion Pressure in a Magnetic Field