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Out of Equilibrium Relativistic Quantum Field Theory --- Perturbation Theory and Progress of Phase Transition

机译:超平衡相对论量子场论 - 扰动   相变理论与进展

摘要

This paper describes perturbative framework, on the basis of closed-time-pathformalism, for studying quasiuniform relativistic quantum field systems nearequilibrium and nonequilibrium quasistationary systems. At the first part,starting from first principles, we construct perturbative schemes forrelativistic complex-scalar-field theory. We clarify what assumption isinvolved in arriving at a standard perturbative framework and to what extentthe $n (\geq 4)$-point initial correlation functions that are usually discardedin the standard framework can in fact be discarded. Two calculational schemesare introduced, the one is formulated on the basis of the initial particledistribution function and the one is formulated on the basis of the ``physical'' particle distribution function. Both schemes are equivalent and leadto a generalized relativistic kinetic or Boltzmann equation. At the secondpart, using the perturbative loop-expansion scheme for an $O (N)$ linear$\sigma$ model, we analyze how the chiral phase transition proceeds throughdisoriented chiral condensates. The system of coupled equations that governsthe spacetime evolution of the condensate or order-parameter fields is derived.The region where the curvature of the ``potential'' is negative is dealt withby introducing the random-force fields. Application to simple situations ismade.
机译:本文在封闭时间路径形式主义的基础上,描述了微扰框架,用于研究准均衡相对论量子场系统的近平衡和非平衡准平稳系统。在第一部分中,从第一性原理开始,我们为相对论复标量场理论构造了摄动方案。我们阐明了在达到标准摄动框架时涉及的假设以及在标准框架中通常丢弃的$ n(\ geq 4)$点初始相关函数实际上可以被丢弃的程度。介绍了两种计算方案,一种是根据初始粒子分布函数公式化的,另一种是根据``物理''粒子分布函数公式化的。两种方案都是等效的,并导致了广义相对论动力学或玻耳兹曼方程。在第二部分中,对于$ O(N)$ linear $ \ sigma $模型,使用摄动环展开方案,我们分析了手性相变如何通过未定向的手性缩合物进行。推导了控制凝结水或阶跃参数场时空演化的耦合方程组,通过引入随机力场来处理``势''曲率为负的区域。适用于简单情况。

著录项

  • 作者

    Niégawa, A.;

  • 作者单位
  • 年度 1998
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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