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

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

2000-01-18

arxiv.org/abs/hep-ph/0001177v1

Phys.Rev. D62 (2000) 025007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Accepted for publication on Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.025007

The $\lambda \phi^4$ 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.

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