Transport Theory beyond Binary Collisions

Abstract

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop diagrams in ϕ^3 model and up to four-loop diagrams in ϕ^4 model, we obtain the transport equations which include the contributions of multi-particle collisions and particle production processes, in addition to mean-field effects and binary interactions.

30 pages, 21 figures, minor changes, to appear in Phys. Rev. D

References in corpus (20)

• Bottom-up thermalization in heavy ion collisions
• Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory
• Effective Kinetic Theory for High Temperature Gauge Theories
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Resonance Transport and Kinetic Entropy
• Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for ${\varphi }^4$-theory in 2+1 dimensions
• Towards a test particle description of transport processes for states with continuous mass spectra
• Dynamical Renormalization Group Approach to Quantum Kinetics in Scalar and Gauge Theories
• Relaxation and Kinetics in Scalar Field Theories
• Gluon multiplication in high energy heavy ion collisions
• Multiple Scattering Expansion of the Self-Energy at Finite Temperature
• Self-consistent Approach to Off-Shell Transport
• Derivation of transport equations for a strongly interacting Lagrangian in powers of $\hslash$ and $1/N_c$
• Cutting rules in the real time formalisms at finite temperature
• Transport Theory of Massless Fields
• Scattering amplitudes at finite temperature
• Particle production in quantum transport theories
• Multiple parton interactions in high-density QCD matter
• Evaluating Real Time Finite Temperature Feynman Amplitudes

Cited by in corpus (16)

• Systematic approach to leptogenesis in nonequilibrium QFT: vertex contribution to the CP-violating parameter
• Systematic approach to leptogenesis in nonequilibrium QFT: self-energy contribution to the CP-violating parameter
• Range of validity of transport equations
• Systematic approach to thermal leptogenesis
• Perturbative Non-Equilibrium Thermal Field Theory
• Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
• Perturbative and Nonperturbative Kolmogorov Turbulence in a Gluon Plasma
• Collisional strong-field QED kinetic equations from first principles
• Boltzmann Collision Term
• Transport coefficients of O(N) scalar field theories close to the critical point
• All orders Boltzmann collision term from the multiple scattering expansion of the self-energy
• Systematic approach to Delta L=1 processes in thermal leptogenesis
• Equilibrium states in Thermal Field Theory and in Algebraic Quantum Field Theory
• Thermalization of quark-gluon matter with the elastic scattering of gqq, gqqbar and gqbarqbar
• Boltzmann Equation Solver for Thermalization
• All orders transport theory from the multiple scattering expansion of the self-energy: the central cuts