Thermalization of overpopulated systems in the 2PI formalism

Abstract

Based on the two-particle irreducible (2PI) formalism to next-to-leading order in the $1/N$ expansion, we study the thermalization of overpopulated systems in scalar $O(N)$ theories with moderate coupling. We focus in particular on the growth of soft modes, and examine whether this can lead to the formation of a transient Bose-Einstein condensate (BEC) when the initial occupancy is high enough. For the value of the coupling constant used in our simulations, we find that while the system rapidly approaches the condensation threshold, the formation of a BEC is eventually hindered by particle number changing processes.

19 pages, 7 figures

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Cited by in corpus (7)

• Large-N kinetic theory for highly occupied systems
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• Functional renormalization group and 2PI effective action formalism
• Attractive vs. repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories
• Structure formation during phase transitions in strongly interacting matter
• Kinetic approach to a relativistic BEC with inelastic processes
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective