Out-of-equilibrium dynamics of large-N ϕ^4 QFT in finite volume

Abstract

The $\lambda {\varphi }^4$ model in a finite volume is studied in the infinite $N$ limit both at equilibrium and out of equilibrium, with particular attention to certain fundamental features of the broken symmetry phase. The numerical solution of the dynamical evolution equations shows that the zero-mode quantum fluctuations cannot grow macroscopically large starting from microscopic initial conditions. Thus we conclude that there is no evidence for a dynamical Bose-Einstein condensation, in the usual sense. On the other hand, out of equilibrium the long-wavelength fluctuations do scale with the linear size of the system, signalling dynamical infrared properties quite different from the equilibrium ones characteristic of the same approximation scheme.

Accepted for publication on Phys. Rev. D

Cited by in corpus (12)

• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Exact and Truncated Dynamics in Nonequilibrium Field Theory
• Nonequilibrium Quantum Dynamics of Second Order Phase Transitions
• Spinodal Decomposition and Inflation: Dynamics and Metric Perturbations
• The O(N) linear sigma model at finite temperature beyond the Hartree approximation
• Nonequilibrium evolution and symmetry structure of the large-N ${\Phi }^4$ model at finite temperature
• Nonequilibrium evolution in scalar O(N) models with spontaneous symmetry breaking
• Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the 2PPI formalism
• An improved time-dependent Hartree-Fock approach for scalar ϕ^4 QFT
• The renormalized and Renormalization-Group invariant Hartree-Fock approximation
• Expanding non homogeneous configurations of the $\lambda {\varphi }^4$ model
• Improved Hartree--Fock resummations and spontaneous symmetry breaking