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arXiv 2006.02117hep-th
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精确可解手征对称性破缺理论中phase diagram临界点的低μ和虚μ信号

Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory

Nick Evans, M. J. Russell

备注：
14 pages, 8 figures
发表信息：
Phys. Rev. D 102, 046018 (2020)
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摘要：

全息照相术已使少数大Nc规范理论得到精确解。其中一个是N=2的夸克与N=4的规范场相互作用的SYM理论。该理论在磁场存在下的温度化学势相图是完全已知的，并显示了第一和第二阶手征对称性恢复过渡和临界点。在这里，我们将这个相图扩展到虚化学势，以寻求在小的实μ和虚μ处的结构，这有助于重建大的实μ相结构。我们还探讨了一个唯象变形版本的理论中的临界点可以移动到假想的化学势平面。特别是，我们观察到，当过渡是二阶在这些理论中自然有两个不同的过渡-一个发病的密度和手征对称性恢复。此外，相图具有亚稳真空存在的区域的边界，并且这些边界以及相边界在临界点处会聚。这些观测结果可能为在晶格上或利用重离子碰撞数据研究QCD临界点提供技术支持。

英文摘要：

Holography has allowed the exact solution of a small number of large Nc gauge theories. Amongst these is an N=2 SYM theory of quarks interacting with N=4 gauge fields. The temperature chemical potential phase diagram for this theory in the presence of a magnetic field is exactly known and shows first and second order chiral symmetry restoration transitions and a critical point. Here we extend this phase diagram to imaginary chemical potential to seek structure at small real mu and imaginary mu that help to reconstruct the large real mu phase structure. We also explore a phenomenologically deformed version of the theory where the critical point can be moved into the imaginary chemical potential plane. In particular we observe that when the transition is second order in these theories there are naturally two distinct transitions - one for the onset of density and one for chiral symmetry restoration. In addition, the phase diagram has boundaries of regions where metastable vacua exist and these boundaries, as well as the phase boundaries, converge at the critical point. These observations may point to techniques for the study of the QCD critical point either on the lattice or using heavy ion collision data.

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