论文标题

两环HTL呼应的热力学,用于n = 4个超对称的阳米尔理论

Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory

论文作者

Du, Qianqian, Strickland, Michael, Tantary, Ubaid, Zhang, Ben-Wei

论文摘要

我们计算两环硬线环(HTL)重新召集的热力学潜力n = 4个超对称的阳米(SYM)。我们的最终结果显然是衡量不变的,并且仅使用简单的真空能,Gluon质量,标量质量和夸克质量计数器进行重新归一致。然后,使用变异处方来确定HTL质量参数M_D,M_D和M_Q,该处方会导致一组耦合的间隙方程。基于此,我们获得了n = 4 sym的两环HTL呼应的热力学函数。我们将最终结果与在弱耦合极限和强耦合极限中获得的已知结果进行了比较。我们还与以前获得的大约自洽的HTL重新召集和padé近似值进行了比较。我们发现,缩放熵密度的双环HTL重新召集结果是与0 <= lambda <〜2的缩放熵密度的定量可靠近似值,并且与以前的lambda <〜6的近似近似自洽的HTL重新定义结果一致。

We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for N=4 supersymmetric Yang-Mills (SYM). Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass, scalar mass, and quark mass counter terms. The HTL mass parameters m_D, M_D, and m_q are then determined self-consistently using a variational prescription which results in a set of coupled gap equations. Based on this, we obtain the two-loop HTL-resummed thermodynamic functions of N=4 SYM. We compare our final result with known results obtained in the weak- and strong-coupling limits. We also compare to previously obtained approximately self-consistent HTL resummations and Padé approximants. We find that the two-loop HTL resummed results for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 <= lambda <~ 2 and is in agreement with previous approximately self-consistent HTL resummation results for lambda <~ 6.

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