Anomalous Transport Properties of Dense QCD in a Magnetic Field

Anomalous Transport Properties of Dense QCD in a Magnetic Field
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DOI:
10.1088/1742-6596/861/1/012019
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发表时间:
2017-04
期刊:
arXiv: Nuclear Theory
影响因子:
--
通讯作者:
V. Incera
V. Incera
中科院分区:
其他
文献类型:
--
作者:
V. Incera

文献摘要

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尽管最近在强相互作用物质相图的研究和理解方面取得了进展,但在实验室中仍然难以到达高重子密度和低温区域。随着计划在德国 FAIR 和俄罗斯 NICA 进行的 HIC 实验,情况预计会发生变化,该实验将为 QCD 相图的高密度低温部分打开一扇窗口,提供一个独特的机会来测试模型计算的有效性,这些模型预测了在中高密度下手性对称性被破坏的空间不均匀相的形成。这样的密度区域与中子星的物理学也特别相关,因为它们的核心的密度可能是核饱和密度的几倍。另一方面,强磁场在 HIC 和中子星中相当普遍,它会影响这些奇异相的特性,并导致在这两种情况下可能观察到的特征。在本文中,我研究了受 QCD 启发的 NJL 模型中最低朗道能级 (LLL) 的光谱不对称性所产生的反常输运特性,该模型的背景磁场通过形成双手性密度波 (DCDW) 凝聚态而在高密度下表现出手性对称性破缺。事实证明,在该模型中,电磁相互作用由轴子电动力学方程描述,并且存在无耗散霍尔电流。
Despite recent advancements in the study and understanding of the phase diagram of strongly interacting matter, the region of high baryonic densities and low temperatures has remained difficult to reach in the lab. Things are expected to change with the planned HIC experiments at FAIR in Germany and NICA in Russia, which will open a window to the high-density-low-temperature segment of the QCD phase map, providing a unique opportunity to test the validity of model calculations that have predicted the formation of spatially inhomogeneous phases with broken chiral symmetry at intermediate-to-high densities. Such a density region is also especially relevant for the physics of neutron stars, as they have cores that can have several times the nuclear saturation density. On the other hand, strong magnetic fields, whose presence is fairly common in HIC and in neutron stars, can affect the properties of these exotic phases and lead to signatures potentially observable in these two settings. In this paper, I examine the anomalous transport properties produced by the spectral asymmetry of the lowest Landau level (LLL) in a QCD-inspired NJL model with a background magnetic field that exhibits chiral symmetry breaking at high density via the formation of a Dual Chiral Density Wave (DCDW) condensate. It turns out that in this model the electromagnetic interactions are described by the axion electrodynamics equations and there is a dissipationless Hall current.