Real-time quantum dynamics of heavy quark systems at high temperature
Real-time quantum dynamics of heavy quark systems at high temperature
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DOI：
10.1103/physrevd.87.045016
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发表时间：
2012-09
影响因子：
5
通讯作者：
Y. Akamatsu
中科院分区：
文献类型：
--
作者：
Y. Akamatsu
基于非平衡态量子场论的闭时间路径理论，我们导出了重夸克系统的实时量子动力学。尽管我们的主要目标是描述重夸克偶素，我们的方法允许一个统一的描述的传播的单重夸克以及它们的束缚态。为了使计算易于处理，我们部署领导阶微扰理论，并考虑非相对论性的限制。各种动力学方程，如量子布朗运动的主方程和时间演化方程的重夸克和夸克偶素前向算符，从一个单一的运营商，重整化的有效哈密顿量。因此，我们能够再现以前的结果的微扰计算的阻力和复杂的潜力同时。另外，我们给出了与动力学方程等价的重夸克和夸克偶素波函数的随机时间演化方程。
On the basis of the closed-time path formalism of non-equilibrium quantum field theory, we derive the real-time quantum dynamics of heavy quark systems. Even though our primary goal is the description of heavy quarkonia, our method allows a unified description of the propagation of single heavy quarks as well as their bound states. To make calculations tractable, we deploy leading-order perturbation theory and consider the non-relativistic limit. Various dynamical equations, such as the master equation for quantum Brownian motion and time-evolution equation for heavy quark and quarkonium forward correlators, are obtained from a single operator, the renormalized effective Hamiltonian. We are thus able to reproduce previous results of perturbative calculations of the drag force and the complex potential simultaneously. In addition, we present stochastic time-evolution equations for heavy quark and quarkonium wave function, which are equivalent to the dynamical equations.