Heavy Quark Thermalization in Classical Lattice Gauge Theory
Heavy Quark Thermalization in Classical Lattice Gauge Theory
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DOI：
10.1088/1126-6708/2009/05/014
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发表时间：
2009-02
影响因子：
5.4
通讯作者：
M. Laine;G. Moore;O. Philipsen;M. Tassler
中科院分区：
文献类型：
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作者：
M. Laine;G. Moore;O. Philipsen;M. Tassler
重夸克的近静止热化是由沿时间威尔逊线的两个电场的相关器控制的。我们在实时，经典晶格杨-米尔斯理论中解决了这个相关器，并详细阐述了与热QCD动力学存在的类比。在弱耦合极限下，可以解析地表明，两侧的动力学是密切相关的。对于中间耦合，我们在经典理论中进行了非微扰模拟，结果表明弱耦合膨胀中的主导项显著低估了重夸克的热化速率。我们的分析和数值结果也对电场相关器对应的谱函数的整体形状有了一般的理解，这可能有助于随后从欧几里得晶格蒙特卡罗模拟中重建它。
Thermalization of a heavy quark near rest is controlled by the correlator of two electric fields along a temporal Wilson line. We address this correlator within real-time, classical lattice Yang-Mills theory, and elaborate on the analogies that exist with the dynamics of hot QCD. In the weak-coupling limit, it can be shown analytically that the dynamics on the two sides are closely related to each other. For intermediate couplings, we carry out non-perturbative simulations within the classical theory, showing that the leading term in the weak-coupling expansion significantly underestimates the heavy quark thermalization rate. Our analytic and numerical results also yield a general understanding concerning the overall shape of the spectral function corresponding to the electric field correlator, which may be helpful in subsequent efforts to reconstruct it from Euclidean lattice Monte Carlo simulations.