论文标题

磁场中的茶压

Pion Pressure in a Magnetic Field

论文作者

Hofmann, Christoph P.

论文摘要

尽管在手性扰动理论中已经计算出磁场$ H $中QCD的分区函数,但我们的研究依赖于Bose函数的替代表示,该表示允许在手势限制中清晰地扩展热力学数量。我们首先将重点放在压力下的乳芯相互作用上,并表明 - 取决于磁场强度,温度和斜向质量 - 它可能具有吸引力或排斥。然后,我们分析手性极限中的热力学特性,并为弱磁场极限$ | qH |中的压力提供明确的两环表示。 \ ll t^2 $。

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 $|qH| \ll T^2$.

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