Correlation entropy of an interacting quantum field andHtheorem for theO<mml:mn/>(N)<mml:mn/>model

2003/05/29 by Esteban Calzetta, E. A. Calzetta, B. L. Hu · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Statistical Mechanics and Entropy #hep-ph

paper · pdf · doi:10.1103/physrevd.68.065027

published as Phys.Rev. D68 (2003) 065027 · 22 pages

arxiv created 2003/05/29 · openalex publication_date 2003/09/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Correlations, Decoherence, Dissipation, and Noise in Quantum Field Theory
• Reheating and thermalization in a simple scalar model
• Transport, Collective Motion, and Brownian Motion
• Effective action for composite operators
• Nonequilibrium dynamics of quantum fields in inflationary cosmology
• Quantized Fields and Particle Creation in Expanding Universes. I

Cited by

• Quantum properties of a non-Gaussian state in the large-Napproximation
• Decoherence in an interacting quantum field theory: Thermal case