论文标题
Minkowski时空的环校正远离平衡。第二部分。有限的结果
Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results
论文作者
论文摘要
可以使用IN-IN路径积分方法计算量子场理论中有限时间相关函数的循环校正。在本文中，我们计算了Minkowski背景上不同无质量自我相互作用标量量子场理论的不等时间的两点相关器，并在任意初始时间开始了场的演变。我们发现需要添加需要添加的反对物来使结果呈紫外线，包括动态中通常的反对，以及取消所有紫外线差异所需的其他初始状态对抗。我们发现，根据相互作用强度分别是尺寸，或无量纲的相互作用强度，恢复相关函数的后期极限在时间上表现出线性或对数增长。晚期相关性与我们的同伴论文中获得的相关性匹配，如所示，差异并不表示真正的IR问题，这与Minkowski中的期望一致。
Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theories on a Minkowski background, starting the field evolution at an arbitrary initial time. We find the counterterms that need to be added to UV-renormalize the result, including usual in-out counterterms in the dynamics and additional initial state counterterms that are required to cancel all UV divergences. We find that the late-time limit of the renormalized correlation function exhibits a linear or logarithmic growth in time, depending on whether the interaction strength is dimension-one or dimensionless, respectively. The late-time correlations match those obtained in our companion paper and, as shown there, the divergences do not indicate a real IR issue, consistent with what one would expect in Minkowski.
