Classicality of the order parameter during a phase transition

Details Classicality of the order parameter during a phase transition Classicality of the order parameter during a phase transition

1999-12-21

arxiv.org/abs/hep-ph/9912448v2

Phys.Rev. D62 (2000) 045016

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex file, 15 pages, 19 ps figures. Minor changes, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.62.045016

We analyze the quantum to classical transition of the order parameter in second order phase transitions. We consider several toy models in non relativistic quantum mechanics. We study the dynamical evolution of a wave packet initially peaked around a local maximum of the potential using variational approximations and also exact numerical results. The influence of the environment on the evolution of the density matrix and the Wigner function is analyzed in great detail. We also discuss the relevance of our results to the analysis of phase transitions in field theory. In particular, we argue that previous results about classicality of the order parameter in O(N) models may be consequences of the large $N$ approximation.

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