Correlation entropy of an interacting quantum field and H theorem for the O(N) model -: art. no. 065027
Correlation entropy of an interacting quantum field and H theorem for the O(N) model -: art. no. 065027
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DOI：
10.1103/physrevd.68.065027
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发表时间：
2003-09-15
影响因子：
5
通讯作者：
Hu, BL
中科院分区：
文献类型：
--
作者：
Calzetta, EA;Hu, BL
根据玻尔兹曼- bbgky范式，我们提出了相互作用量子场的相关熵（n阶）。相关熵的概念对于解决与热化有关的问题是有用的。作为该方向上的一个小而重要的步骤，我们在次一级大N近似的水平上陈述了具有封闭时间路径两粒子不可约有效作用的量子力学O(N)模型的相关熵的H定理。这个模型可以看作是一个零空间维度的场论。我们在两个极限情况下验证了H定理的有效性。
Following the Boltzmann-BBGKY paradigm we propose a correlation entropy (of the nth order) for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases.