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arXiv 1306.0214hep-ph
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胶子等离子体引力对偶的物态方程和粘性

Equation of State and Viscosities from a Gravity Dual of the Gluon Plasma

R. Yaresko, B. Kampfer

摘要:

利用SU(3)Yang-Mills理论(胶子等离子体)物态方程的新的精确数据,在$(1 - 10) T_c$温度范围内,采用自底向上的方法,对引力对偶模型的介子势进行了调整.然后,体积粘度与剪切粘度的比率遵循$Δv_s^2 < 0.2$的$ζ/η\approx πΔv_s^2$,并且在$Δv_s^2 \approx 0.3$处达到$0.94$的最大值,其中$Δv_s^2 \equiv 1/3 - v_s^2$是非保形性度量,$v_s^2$是声速的平方,而剪切粘度与熵密度的比率对于在重力侧具有希尔伯特作用的所考虑的设置被称为$(4 π)^{-1}$。

英文摘要:

Employing new precision data of the equation of state of the SU(3) Yang-Mills theory (gluon plasma) the dilaton potential of a gravity-dual model is adjusted in the temperature range $(1 - 10) T_c$ within a bottom-up approach. The ratio of bulk viscosity to shear viscosity follows then as $ζ/η\approx πΔv_s^2$ for $Δv_s^2 < 0.2$ and achieves a maximum value of $0.94$ at $Δv_s^2 \approx 0.3$, where $Δv_s^2 \equiv 1/3 - v_s^2$ is the non-conformality measure and $v_s^2$ is the velocity of sound squared, while the ratio of shear viscosity to entropy density is known as $(4 π)^{-1}$ for the considered set-up with Hilbert action on the gravity side.

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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