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Chiral symmetry breaking and restoration in 2+1 dimensions from holography: Magnetic and inverse magnetic catalysis

机译:全息术中2 + 1维的手性对称性断裂和还原:磁和逆磁催化

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We study the chiral symmetry breaking and restoration in ( 2 + 1 )-dimensional gauge theories from the holographic hardwall and softwall models. We describe the behavior of the chiral condensate in the presence of an external magnetic field for both models at finite temperature. For the hardwall model we find magnetic catalysis (MC) in different setups. For the softwall model we find inverse magnetic catalysis (IMC) and MC in different situations. We also find for the softwall model a crossover transition from IMC to MC at a pseudocritical magnetic field. This study also shows spontaneous symmetry breaking for both models. Interestingly, for B = 0 in the softwall model, we found a nontrivial expectation value for the chiral condensate.
机译:我们从全息硬壁和软壁模型研究(2 +1)维规范理论中的手性对称性断裂和还原。我们描述了在有限温度下两种模型在外部磁场存在下手性冷凝物的行为。对于硬壁模型,我们在不同的设置中发现了磁催化(MC)。对于软壁模型,我们发现了在不同情况下的逆磁催化(IMC)和MC。对于软壁模型,我们还发现在伪临界磁场下从IMC到MC的过渡转变。这项研究还显示了两个模型的自发对称性破裂。有趣的是,对于软壁模型中的B = 0,我们发现了手性冷凝物的非平凡期望值。

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