Heavy-quark potential at finite temperature using the holographic correspondence
Heavy-quark potential at finite temperature using the holographic correspondence
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DOI：
10.1103/physrevd.78.115007
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发表时间：
2008-07
影响因子：
5
通讯作者：
J. Albacete;Y. Kovchegov;A. Taliotis
中科院分区：
文献类型：
--
作者：
J. Albacete;Y. Kovchegov;A. Taliotis
我们用AdS/CFT对应重新讨论了有限温度下$\mathcal{N}=4$超对称杨-米尔斯理论中重夸克势的计算。众所周知，在Rey等人的开创性工作中计算出的潜力。理论物理。[科学通报][j]。列托人。B 434, 36(1998)]对于夸克和反夸克之间的分离距离$r$为零，在一定的临界距离上，势有一个扭结。我们指出，通过解析地将弦构型延续到复平面上，并使用稍微不同的重整化减法，可以得到光滑的无扭结的非零（负定）势。得到的势对于分离$rg{r}_{c}=0.870/\ensuremath{\pi}T$也有非零虚数（吸收）部分。最重要的是，在大的间距$r$时，势的实部并没有表现出微扰理论所期望的指数德拜衰减，而是以幂律的形式衰减，对于$rg{r}_{0}=2.702/\ensuremath{\pi}T$，它与$1/{r}^{4}$成正比。
We revisit the calculation of a heavy-quark potential in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at finite temperature using the AdS/CFT correspondence. As is widely known, the potential calculated in the pioneering works of Rey et al. [Nucl. Phys. B527, 171 (1998)] and Brandhuber et al. [Phys. Lett. B 434, 36 (1998)] is zero for separation distances $r$ between the quark and the antiquark above a certain critical separation, at which the potential has a kink. We point out that by analytically continuing the string configurations into the complex plane, and using a slightly different renormalization subtraction, one obtains a smooth nonzero (negative definite) potential without a kink. The obtained potential also has a nonzero imaginary (absorptive) part for separations $rg{r}_{c}=0.870/\ensuremath{\pi}T$. Most importantly, at large separations $r$ the real part of the potential does not exhibit the exponential Debye falloff expected from perturbation theory and instead falls off as a power law, proportional to $1/{r}^{4}$ for $rg{r}_{0}=2.702/\ensuremath{\pi}T$.