QCD和具有引力对偶的规范理论中的重夸克自由能
The Heavy Quark Free Energy in QCD and in Gauge Theories with Gravity Duals
摘要：
我们表明，在任何强耦合规范理论在大$N_c$与双重超引力描述的Polyakov环接近其渐近值在高温{ \it从下面}。在这些理论中，波里雅科夫环可以用来定义一个量，它表现为介质中重夸克的自由能。这应该与最近纯胶SU（3）理论在高温下的晶格结果进行比较，其中Polyakov环接近其非相互作用极限{ \it from above}。我们表明，“重夸克自由能”得到的重整化循环计算的晶格上不表现为一个真正的热力学自由能。我们猜想，在渐近自由的规范理论中，情况应该总是这样。
英文摘要：
We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used to define a quantity that behaves as a free energy of a heavy quark in the medium. This should be compared to the recent lattice results in pure glue SU(3) theory at high temperatures where the Polyakov loop approaches its non-interacting limit {\it from above}. We show that the "heavy quark free energy" obtained from the renormalized loop computed on the lattice does not behave as a true thermodynamic free energy. We conjecture that this should always be the case in asymptotically free gauge theories.
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