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arXiv 1209.0817hep-phnucl-th
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非线性矩阵

The non-linear Glasma

J. Berges, S. Schlichting

摘要:

我们研究了重核碰撞后立即产生的量子涨落的演化。它示出了如何不稳定性的存在导致增强的非线性相互作用之间的初始小的波动。非线性动力学导致了一个大的动量区域的波动增长增强远远超过原来的不稳定带。我们使用经典统计格子模拟SU(2)规范理论研究了弱耦合下耦合常数的依赖性,并展示了如何在两粒子不可约(2PI)有效作用量技术的框架内解析地理解这些非线性。与分析预期一致,对耦合常数的依赖性仅为对数。关于各向同性的批量,我们的研究结果表明,该系统表现出一阶各向异性参数大的时间尺度。尽管如此,我们发现,规范不变的压力关联函数似乎表现出幂律行为的波湍流特性。

英文摘要:

We study the evolution of quantum fluctuations in the Glasma created immediately after the collision of heavy nuclei. It is shown how the presence of instabilities leads to an enhancement of non-linear interactions among initially small fluctuations. The non-linear dynamics leads to an enhanced growth of fluctuations in a large momentum region exceeding by far the originally unstable band. We investigate the dependence on the coupling constant at weak coupling using classical statistical lattice simulations for SU(2) gauge theory and show how these non-linearities can be analytically understood within the framework of two-particle irreducible (2PI) effective action techniques. The dependence on the coupling constant is only logarithmic in accordance with analytic expectations. Concerning the isotropization of bulk quantities, our results indicate that the system exhibits an order-one anisotropy on parametrically large time scales. Despite this fact, we find that gauge invariant pressure correlation functions seem to exhibit a power law behavior characteristic for wave turbulence.

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