中文

高温规范理论的有效动力学理论

高能物理 - 唯象学 2010-02-16 v3 高能物理 - 理论 核理论

摘要

与热、弱耦合规范理论(如在渐近高温下有效的 QCD)相关的准粒子动力学,可在足够大的时间和距离尺度上由有效动力学理论描述。相应的 Boltzmann 方程取决于等离子体中各种类型碰撞的有效散射率。 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. 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)g(T) of high-temperature gauge theories [and all orders in 1/logg(T)11/\log g(T)^{-1}]. As previously proposed in the literature, a leading-order treatment requires including both 2<>22<->2 particle scattering processes as well as effective ``1<>21<->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.

关键词

引用

@article{arxiv.hep-ph/0209353,
  title  = {Effective Kinetic Theory for High Temperature Gauge Theories},
  author = {Peter Arnold and Guy D. Moore and Laurence G. Yaffe},
  journal= {arXiv preprint arXiv:hep-ph/0209353},
  year   = {2010}
}

备注

40 pages, new subsection on soft gauge field instabilities added