On rolling, tunneling and decaying in some large N vector models

Abstract

Various aspects of time-dependent processes are studied within the large N approximation of O(N) vector models in three dimensions. These include the rolling of fields, the tunneling and decay of vacua. We present an exact solution for the quantum conformal case and find a solution for more general potentials when the total change of the value of the field is small. Characteristic times are found to be shorter when the time dependence of the field is taken into account in constructing the exact large N effective potentials. We show that the different approximations yield the same answers in the regions of the overlap of the validity. A numerical solution of this potential reveals a tunneling in which the bubble that separates the true vacuum from the false one is thick.

References in corpus (3)

• Dynamical SUSY Breaking in Meta-Stable Vacua
• Heretics of the False Vacuum: Gravitational Effects On and Of Vacuum Decay 2
• From Big Crunch to Big Bang with AdS/CFT

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• Particle Production near an AdS Crunch
• The cosmological singularity problem
• On evolutionary processes in large N quantum mechanics