arXiv 1802.056522018-02hep-th

具有约束-退约束相变的全息各向异性背景

Holographic Anisotropic Background with Confinement-Deconfinement Phase Transition

Irina Aref'eva, Kristina Rannu

备注：: 68 pages, 45 figures, LaTeX, misprints corrected
发表信息：: JHEP 1805 (2018) 206
DOI：: 10.1007/JHEP05(2018)206

摘要：

本文给出了5D Einstein-Einton-two-Maxwell系统中新的各向异性黑膜解。各向异性背景由任意动力学指数$ν$、非平凡的翘曲因子、非零的自旋场、第一麦克斯韦场的非零时间分量和第二麦克斯韦场的非零纵向磁分量指定。对于合适的第一麦克斯韦场电荷，黑化函数支持小和大黑洞之间的范德华类相变。对应于$ν= 1$和零磁场的各向同性情况再现了先前已知的解决方案。我们调查的各向异性的影响，我们的背景下的热力学性质，特别是在小/大黑洞相变图。我们讨论了该模型在自底向上全息QCD中的应用。RG流插值与两个抑制横向坐标的UV部分和抑制的时间和纵向坐标的IR部分之间，由于我们的解决方案的各向异性字符。通过计算在不同温度和化学势的各向异性背景下相应的开弦探测世界片的极小曲面，研究了在纵向和横向上延伸的时间威尔逊圈.我们发现，动力学壁的位置依赖于夸克对的方向，这给出了一个交叉过渡线之间的限制/解除禁闭阶段的双重规范理论。背景的不稳定性导致临界点$(μ_{\vartheta,b}, T_{\vartheta,b})$的出现，这取决于夸克-反夸克对相对于重离子碰撞线的取向$\vartheta$。

英文摘要：

We present new anisotropic black brane solutions in 5D Einstein-dilaton-two-Maxwell system. The anisotropic background is specified by an arbitrary dynamical exponent $ν$, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to $ν= 1$ and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram. We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points $(μ_{\vartheta,b}, T_{\vartheta,b})$ depending on the orientation $\vartheta$ of quark-antiquark pairs in respect to the heavy ions collision line.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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