Pion pressure in a magnetic field

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 chi...

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Bibliographic Details
Published in:Physical review. D 2020-06, Vol.101 (11), p.1, Article 114031
Main Author: Hofmann, Christoph P.
Format: Article
Language:English
Subjects:
Chiral dynamics
Field strength
Magnetic fields
Partitions (mathematics)
Perturbation methods
Perturbation theory
Pions
Representations
Thermodynamic properties
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Summary: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| ≪ T 2 .
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.114031