论文标题
与Yukawa互动的开放量子标量纤维系统中的变形和熵产生
Decoherence and entropy generation in an open quantum scalar-fermion system with Yukawa interaction
论文作者
论文摘要
我们使用适用于开放系统的非平衡有效的场理论形式主义，研究了Minkowski时空中Yukawa相互作用的Fermion和标量量子场理论中使用Yukawa的相互作用的反熔机制。标量场被视为系统，而费米子则是环境。作为最简单的现实情况，我们假设观察者仅测量标量场的高斯2分相关器。变形的原因和随后的熵产生是对系统和周围环境中高阶相关器，高斯和非高斯的信息的无知。使用2循环的2粒子不可还能有效作用，我们构建了重量化的Kadanoff-baym方程，即，Schwinger-Keldysh形式主义中2分相关器满足运动的运动方程。这些方程式包含非本地自我能源校正。然后，我们根据2分函数计算统计传播器。使用统计传播器与相空间区域的关系，我们接下来计算系统的von Neumann熵。我们已经获得了相对于各种相关参数的熵变化。我们还讨论了结果和环境都是标量字段时的定性相似性和差异。
We have studied the decoherence mechanism in a fermion and scalar quantum field theory with the Yukawa interaction in the Minkowski spacetime, using the non-equilibrium effective field theory formalism appropriate for open systems. The scalar field is treated as the system whereas the fermions as the environment. As the simplest realistic scenario, we assume that an observer measures only the Gaussian 2-point correlator for the scalar field. The cause of decoherence and the subsequent entropy generation is the ignorance of information stored in higher-order correlators, Gaussian and non-Gaussian, of the system and the surrounding. Using the 2-loop 2-particle irreducible effective action, we construct the renormalised Kadanoff-Baym equations, i.e., the equation of motion satisfied by the 2-point correlators in the Schwinger-Keldysh formalism. These equations contain the non-local self-energy corrections. We then compute the statistical propagator in terms of the 2-point functions. Using the relationship of the statistical propagator with the phase space area, we next compute the von Neumann entropy for the system. We have obtained the variation of the entropy with respect to various relevant parameters. We also discuss the qualitative similarities and differences of our results with the scenario when both the system and the environment are scalar fields.
