Perturbative Out of Equilibrium Quantum Field Theory beyond the Gradient Approximation and Generalized Boltzmann Equation

DOI10.1143/PTP.111.105zbMATH Open1071.82040arXivhep-ph/0311236OpenAlexW2065297758MaRDI QIDQ4656045

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Publication date: 8 March 2005

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Abstract: Using the closed-time-path formalism, we construct perturbative frameworks, in terms of quasiparticle picture, for studying quasiuniform relativistic quantum field systems near equilibrium and non-equilibrium quasistationary systems. We employ the derivative expansion and take in up to the second-order term, i.e., one-order higher than the gradient approximation. After constructing self-energy resummed propagator, we formulated two kind of mutually equivalent perturbative frameworks: The first one is formulated on the basis of the ``bare number density function, and the second one is formulated on the basis of ``physical number density function. In the course of construction of the second framework, the generalized Boltzmann equations directly come out, which describe the evolution of the system.

Full work available at URL: https://arxiv.org/abs/hep-ph/0311236

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