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

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

2003-05-29

arxiv.org/abs/hep-ph/0305326v1

Phys.Rev. D68 (2003) 065027

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages

Scientific paper

10.1103/PhysRevD.68.065027

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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