Quark condensate in a weak magnetic field

Hofmann, Christoph P.

doi:10.1103/physrevd.99.014030

Cited by 7 publications

(10 citation statements)

References 44 publications

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“…In Euclidean space, as derived in Ref. [62], it amounts to In the evaluation of the partition function diagrams displayed in Fig. 1, as we will see, thermal propagators only have to be considered at the origin x ¼ 0.…”

Section: A Preliminariesmentioning

confidence: 96%

“…The one-loop free energy density (order p 4 )-in coordinate space representation-has been derived in Ref. [62]. The final renormalized expression reads…”

Section: B Free Energy Density Up To Order Pmentioning

confidence: 99%

“…The objective of Ref. [62] was to provide the correct series for the one-loop quark condensate in weak magnetic fields in the chiral limit. The corresponding analysis involved the kinematical functiong 1 .…”

Section: Pressure In Weak Magnetic Fields In the Chiral Limitmentioning

confidence: 99%

“…Recently, the present author has pointed out that the chiral expansion of the quark condensate in a weak magnetic field and in the chiral limit has not been properly derived, and has provided the correct series in Ref. [62]. 1 The analysis was based on an alternative representation for the Bose functions, which was the key to deriving the proper series in a transparent manner.…”

Section: Introductionmentioning

confidence: 98%

“…[9,10], as well as a discussion of the discrepancy with respect to my series in Ref. [62], is forthcoming [63]. at order T 6 .…”

Section: Introductionmentioning

confidence: 99%

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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: A Preliminariesmentioning

confidence: 96%

“…The one-loop free energy density (order p 4 )-in coordinate space representation-has been derived in Ref. [62]. The final renormalized expression reads…”

Section: B Free Energy Density Up To Order Pmentioning

confidence: 99%

Section: Pressure In Weak Magnetic Fields In the Chiral Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

“…[9,10], as well as a discussion of the discrepancy with respect to my series in Ref. [62], is forthcoming [63]. at order T 6 .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations