Non-equilibrium symmetry restoration beyond one loop

Abstract

We calculate the strength of symmetry restoration effects in highly non-equilibrium states which can arise, for example, during preheating after inflation. We show that in certain parameter range the one-loop results are unstable, requiring summation of multiloop diagrams. We solve this problem for the $O(N)$ model in the large $N$-limit and show that the symmetry restoration may be less effective than what predicted by the one-loop estimate.

Latex, 12 pages, 2 postscript figures

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• Preheating in Supersymmetric Hybrid Inflation
• Asymptotic Dynamics in Scalar Field Theory: Anomalous Relaxation
• Parametric Resonance in an Expanding Universe
• Evolution of the Order Parameter after Bubble Collisions
• Quantum Fluctuations of Axions
• Patterns from preheating
• Pattern Formation in the Early Universe
• Prediction of the Expansion of the Universe made by Alexander Friedmann and the Effect of Particle Creation in Cosmology
• Symmetry restoration due to preheating and lepton number asymmetry