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arXiv 1610.09792hep-thgr-qchep-phnucl-th
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库仑分支上强耦合$\mathcal{N}=4$超杨-米尔斯等离子体I：热力学

Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch I: Thermodynamics

Kiminad A. Mamo

备注：
7 pages, 7 figures; the discussion and conjecture about hadronization is removed and will be addressed elsewhere with a proof
发表信息：
Phys. Rev. D 100, 066010 (2019)
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摘要：

利用AdS/CFT对应研究了强耦合极限下库仑支（cSYM）上的$\mathcal{N} = 4$超Yang-Mills理论.对偶几何是旋转的黑色3膜IIB型超引力解，具有一个非零的旋转参数$r_{0}$，它设置了一个固定的质量标度，对应于库仑分支中的标量凝聚$<\mathcal{O}>\,\,\sim r_{0}^4$。我们引入一种新的系综，其中$T$和$<\mathcal{O}>$保持固定，即，自由能$F(T,<\mathcal{O}>)$是$T$和$<\mathcal{O}>$的函数。计算了有限$T$下$\mathcal{N} = 4$ cSYM的物态方程，以及$T=0$下标量和自旋2胶球的重夸克-反夸克势和量子化质量谱.通过计算$T=0$的Wilson圈（极小面），我们确定了重夸克-反夸克势$V(L)$是Cornell势，它限制了大分离$L$ .在$T\neq 0$中，我们发现了两个黑洞分支：大黑洞分支和小黑洞分支。对于具有正比热的大黑洞分支，我们发现在晶格上与纯杨-米尔斯理论定性相似的EoS。对于小黑洞分支，具有负比热，我们发现一个EoS的熵和能量密度与$T$减少。我们还发现了一个临界温度为$T_c=T_{min}$的大小黑洞分支之间的二级相变。

英文摘要：

We study $\mathcal{N} = 4$ super Yang-Mills theory on the Coulomb branch (cSYM) in the strong coupling limit by using the AdS/CFT correspondence. The dual geometry is the rotating black 3-brane Type IIB supergravity solution with a single non-zero rotation parameter $r_{0}$ which sets a fixed mass scale corresponding to the scalar condensate $<\mathcal{O}>\,\,\sim r_{0}^4$ in the Coulomb branch. We introduce a new ensemble where $T$ and $<\mathcal{O}>$ are held fixed, i.e., the free energy $F(T,<\mathcal{O}>)$ is a function of $T$ and $<\mathcal{O}>$. We compute the equation of state (EoS) of $\mathcal{N} = 4$ cSYM at finite $T$, as well as the heavy quark-antiquark potential and the quantized mass spectrums of the scalar and spin-2 glueballs at $T=0$. By computing the Wilson loop (minimal surface) at $T=0$, we determine the heavy quark-antiquark potential $V(L)$ to be the Cornell potential, which is confining for large separation $L$. At $T\neq 0$, we find two black hole branches: the large black hole and small black hole branches. For the large black hole branch, that has positive specific heat, we find qualitatively similar EoS to that of pure Yang-Mills theory on the lattice. For the small black hole branch, that has negative specific heat, we find an EoS where the entropy and energy densities decrease with $T$. We also find a second-order phase transition between the large and small black hole branches with critical temperature $T_c=T_{min}$.

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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