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Correlation Entropy of an Interacting Quantum Field and H-theorem for the O(N) Model

E. A. Calzetta·B. L. Hu
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Abstract

Following the paradigm of Boltzmann-BBGKY we propose a correlation entropy (of the nth order) for an interacting quantum field, obtained by `slaving' (truncation with causal factorization) of the higher (n+1 th) order correlation functions in the Schwinger-Dyson system of equations. This renders an otherwise closed system effectively open where dissipation arises. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction we prove 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 Next-to-Leading-Order large N approximation. This model may be regarded as a field theory in $0$ space dimensions.

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E. A. Calzetta, B. L. Hu. 2003-05-29. Correlation Entropy of an Interacting Quantum Field and H-theorem for the O(N) Model. https://doi.org/10.1103/physrevd.68.065027

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