Effective kinetic theory for high temperature gauge theories
Effective kinetic theory for high temperature gauge theories
复制标题
DOI：
10.1088/1126-6708/2003/01/030
复制
发表时间：
2003-01-01
影响因子：
5.4
通讯作者：
Yaffe, LG
中科院分区：
文献类型：
--
作者：
Arnold, PB;Moore, GD;Yaffe, LG
相对论性等离子体中的准粒子动力学与热的弱耦合规范理论（如在渐近高温T下的QCD）有关，可以用有效的动力学理论描述，在足够大的时间和距离尺度上有效。适当的玻尔兹曼方程取决于等离子体中可能发生的各种碰撞的有效散射率。由此产生的有效动力学理论可用于评估的观测值是占主导地位的典型的超相对论激发的动态敏感。这包括传输系数（粘度和扩散常数）和能量损失率。在本文中，我们展示了如何制定有效的玻尔兹曼方程，这将是足够的计算这样的可观的领导阶在运行耦合g（T）的高温规范理论[和所有的订单在1/log g（T）（-1）]。如以前提出的文献中，一个领先的顺序治疗需要包括2 - 2粒子散射过程以及有效的“1 - 2”共线分裂过程中的玻尔兹曼方程。后者占近共线的韧致辐射和对生产/湮灭过程中发生的背景规范场的波动的存在下。我们的有效动力学理论不仅适用于近平衡系统（相关的计算输运系数），而且高度非平衡的情况下，提供一些简单的条件分布函数得到满足。
Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature T) can be described by an effective kinetic theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective kinetic theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. In this paper, we show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling g(T) of high-temperature gauge theories [and all orders in 1/log g(T)(-1)]. As previously proposed in the literature, a leading-order treatment requires including both 2 2 particle scattering processes as well as effective "1 2" collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective kinetic theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.