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arXiv · 0809.3390

Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields

Gert Aarts·Nathan Laurie·Anders Tranberg
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Abstract

The 1/N expansion of the two-particle irreducible effective action offers a powerful approach to study quantum field dynamics far from equilibrium. We investigate the effective convergence of the 1/N expansion in the O(N) model by comparing results obtained numerically in 1+1 dimensions at leading, next-to-leading and next-to-next-to-leading order in 1/N as well as in the weak coupling limit. A comparison in classical statistical field theory, where exact numerical results are available, is made as well. We focus on early-time dynamics and quasi-particle properties far from equilibrium and observe rapid effective convergence already for moderate values of 1/N or the coupling.

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Gert Aarts, Nathan Laurie, Anders Tranberg. 2008-09-19. Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields. https://doi.org/10.1103/physrevd.78.125028

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