Renormalised nonequilibrium quantum field theory: scalar fields

Abstract

We discuss the renormalisation of the initial value problem in quantum field theory using the two-particle irreducible (2PI) effective action formalism. The nonequilibrium dynamics is renormalised by counterterms determined in equilibrium. We emphasize the importance of the appropriate choice of initial conditions and go beyond the Gaussian initial density operator by defining self-consistent initial conditions. We study the corresponding time evolution and present a numerical example which supports the existence of a continuum limit for this type of initial conditions.

18 pages in revtex4, 5 figures

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• Decoherence and thermalization of a pure quantum state in quantum field theory
• De-Confinement in small systems: Clustering of color sources in high multiplicity $\bar{p}$p collisions at $\sqrt{s}$= 1.8 TeV
• Open quantum dynamics induced by light scalar fields
• Decoherence in an Interacting Quantum Field Theory: The Vacuum Case
• Non-renormalizability of the classical statistical approximation
• Contribution of the hybrid inflation waterfall to the primordial curvature perturbation
• Thermodynamics and phase transition of the O(N) model from the two-loop Phi-derivable approximation
• On the Langevin description of nonequilibrium quantum fields
• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
• The O(N)-model within the Phi-derivable expansion to order lambda^2: on the existence, UV and IR sensitivity of the solutions to self-consistent equations
• On Evolution of Coherent States as Quantum Counterpart of Classical Dynamics
• Decoherence and Dynamical Entropy Generation in Quantum Field Theory
• Broken symmetry phase solution of the phi^4 model at two-loop level of the Phi-derivable approximation
• Renormalization out of equilibrium in a superrenormalizable theory
• Renormalisation of out-of-equilibrium quantum fields
• Non-perturbative construction of counterterms for 2PI-approximation
• Time-dependent Features in the Primordial Spectrum
• Non-equilibrium evolution of quantum fields during inflation and late accelerating expansion