Quantum chromodynamics, antiferromagnets and XY models from a unified point of view

Hofmann, Christoph P.

doi:10.1016/j.nuclphysb.2017.01.007

Cited by 9 publications

(13 citation statements)

References 45 publications

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“…While the corresponding three-loop analysis referring to zero magnetic field has been provided in Refs. [68,70], a three-loop analysis for QCD in the presence of a magnetic field, based on chiral perturbation theory, has never been attempted to the best of our knowledge. Work in this direction, relying on the coordinate space representation, is currently in progress.…”

Section: Discussionmentioning

confidence: 99%

Pion pressure in a magnetic field

Hofmann

2020

Phys. Rev. D

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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 jqHj ≪ T 2 .

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Section: Discussionmentioning

confidence: 99%

Pion pressure in a magnetic field

Hofmann

2020

Phys. Rev. D

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“…The present evaluation parallels the evaluation of the partition function in zero magnetic field described in much detail in Refs [13,14]…”

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confidence: 71%

Quark condensate in a weak magnetic field

Hofmann

2019

Phys. Rev. D

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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 ≪ 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.

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“…as well as the fact that the numerical coefficients γ3 and γ4 are identical (see Ref. [40]), γ3 − γ4 = 0 , (A.21)…”

Section: A2 One-loop Graph 4amentioning

confidence: 97%

Order Parameter and Magnetization of Antiferromagnets in Mutually Parallel Staggered and Magnetic Fields

Hofmann

2020

Preprint

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We explore the behavior of the order parameter and the magnetization of antiferromagnetic solids subjected to mutually parallel staggered and magnetic fields. The effective field theory analysis of the partition function is taken up to the two-loop level, where the magnon-magnon interaction comes into play. These interaction effects, however, are small. A phenomenon that comes rather unexpectedly is that the finite-temperature magnetization increases with temperature when the strengths of the staggered and magnetic field are held constant.

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Quantum chromodynamics, antiferromagnets and XY models from a unified point of view

Cited by 9 publications

References 45 publications

Pion pressure in a magnetic field

Pion pressure in a magnetic field

Quark condensate in a weak magnetic field

Order Parameter and Magnetization of Antiferromagnets in Mutually Parallel Staggered and Magnetic Fields

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