arXiv 1507.086282015-07-30hep-th

非共形等离子体的后期行为

Late time behavior of non-conformal plasmas

Umut Gursoy, Matti Jarvinen, Giuseppe Policastro

备注：: 31 pages
DOI：: 10.1007/JHEP01(2016)134

摘要：

我们确定解析依赖的方法来热平衡的强耦合等离子体的尺度不变性的破坏。我们考虑的理论是全息图爱因斯坦引力耦合到一个标量的指数潜力。指数中的系数$X$是控制与共形不变情况的偏差的参数。对于这些模型，我们得到的解析解的等离子体膨胀在后期的时间限制，假设的助推不变性，我们确定的缩放行为的能量密度，压力和温度作为时间的函数。我们发现，温度衰减作为一个函数的适当的时间为$T\sim τ^{-s/4}$与$s$确定的非共形参数$X$为$s=4(1-4X^2)/3$。这与Janik和Peschanski关于共形等离子体的$s=4/3$的结果一致，并将其推广到非共形等离子体中的$X\neq 0$。我们还考虑更现实的潜力，指数补充幂律条款。即使在这种情况下，我们不能有精确的解决方案，我们能够在一定的假设下，以确定的缩放的能量，接收对数修正。

英文摘要：

We determine analytically the dependence of the approach to thermal equilibrium of strongly coupled plasmas on the breaking of scale invariance. The theories we consider are the holographic duals to Einstein gravity coupled to a scalar with an exponential potential. The coefficient in the exponent, $X$, is the parameter that controls the deviation from the conformally invariant case. For these models we obtain analytic solutions for the plasma expansion in the late-time limit, under the assumption of boost-invariance, and we determine the scaling behaviour of the energy density, pressure, and temperature as a function of time. We find that the temperature decays as a function of proper time as $T\sim τ^{-s/4}$ with $s$ determined in terms of the non-conformality parameter $X$ as $s=4(1-4X^2)/3$. This agrees with the result of Janik and Peschanski, $s=4/3$, for the conformal plasmas and generalizes it to non-conformal plasmas with $X\neq 0$. We also consider more realistic potentials where the exponential is supplemented by power-law terms. Even though in this case we cannot have exact solutions, we are able under certain assumptions to determine the scaling of the energy, that receives logarithmic corrections.

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