Chaotic behavior in classical Yang-Mills dynamics
Chaotic behavior in classical Yang-Mills dynamics
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DOI：
10.1103/physrevd.82.114015
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发表时间：
2010-08
影响因子：
5
通讯作者：
T. Kunihiro;B. Muller;A. Ohnishi;A. Schafer;T. T. Takahashi-T.;A. Yamamoto
中科院分区：
文献类型：
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作者：
T. Kunihiro;B. Muller;A. Ohnishi;A. Schafer;T. T. Takahashi-T.;A. Yamamoto
里根斯堡大学理论物理研究所，D-93040里根斯堡，德国（日期：2010年8月9日）理解高能重离子碰撞导致快速热化的潜在机制仍然是一个挑战。为了估计热化时间，在确定李雅普诺夫指数的基础上，研究了经典Yang-Mills理论的熵增长.对于短、中、长采样时间的不同信号，其李雅普诺夫指数谱具有不同的性质。澄清这些制度的存在及其对规范场动力学的影响是这一贡献的结果之一。作为一个唯象的应用，我们得出结论：对于具有随机初始条件的纯规范理论，热化在几个fm/c内发生，这个估计可以通过包括费米子、特定的初始条件集c来降低。介绍
Institut fu¨r Theoretische Physik, Universita¨t Regensburg, D-93040 Regensburg, Germany(Dated: August 9, 2010)Understanding the underlying mechanisms causing rapid thermalization deduced for high-energyheavy ion collissons is still a challenge. To estimate the thermalization time, entropy growth forclassical Yang-Mills theories is studied, based on the determination of Lyapunov exponents. Distinctregimes for short, medium and long sampling times are characterized by different properties of theirspectrum of Lyapunov exponents. Clarifying the existence of these regimes and their implications forgauge-field dynamics is one of the results of this contribution. As a phenomenological application weconclude that for pure gauge theories with random initial conditions thermalization occures withinfew fm/c, an estimate which can be reduced by the inclusion of fermions, specific initial conditionsetc.I. INTRODUCTION