Pion Pressure in a Magnetic Field

Abstract

While the partition function for QCD in a magnetic field $H$ has been calculated before within chiral perturbation theory up to two-loop order, our investigation relies on an alternative representation for the Bose functions which allows for a clear-cut expansion of thermodynamic quantities in the chiral limit. We first focus on the pion-pion interaction in the pressure and show that -- depending on magnetic field strength, temperature and pion mass -- it may be attractive or repulsive. We then analyze the thermodynamic properties in the chiral limit and provide explicit two-loop representations for the pressure in the weak magnetic field limit $|qH|\ll T^2$.

22 pages, 3 figures, 2 tables

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Cited by in corpus (5)

• Hot perturbative QCD in a very strong magnetic background
• Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• Thermomagnetic Properties of QCD
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field