Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields

Abstract

The 1/N expansion of the two-particle irreducible effective action offers a powerful approach to study quantum field dynamics far from equilibrium. We investigate the effective convergence of the 1/N expansion in the O(N) model by comparing results obtained numerically in 1+1 dimensions at leading, next-to-leading and next-to-next-to-leading order in 1/N as well as in the weak coupling limit. A comparison in classical statistical field theory, where exact numerical results are available, is made as well. We focus on early-time dynamics and quasi-particle properties far from equilibrium and observe rapid effective convergence already for moderate values of 1/N or the coupling.

4 pages, 4 eps figures

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• Role of quantum fluctuations in a system with strong fields: Spectral properties and Thermalization
• Non-renormalizability of the classical statistical approximation
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• The 2PI effective action at four loop order in ${\phi }^4$ theory
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Next-to-Leading Order Transport Coefficients from the Four-Particle Irreducible Effective Action
• Broken phase scalar effective potential and Phi-derivable approximations
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Topological defect formation from 2PI effective action techniques
• A new method to calculate the n-Particle Irreducible Effective Action
• Renormalization of the 4PI effective action using the functional renormalization group
• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion