Attractive versus repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories

Abstract:

We study the impact of attractive self-interactions on the nonequilibrium dynamics of relativistic quantum fields with large occupancies at low momenta. Our primary focus is on Bose-Einstein condensation and nonthermal fixed points in such systems. For a model system, we consider $O\left(N\right)$-symmetric scalar field theories. We use classical-statistical real-time simulations as well as a systematic $1/N$ expansion of the quantum (two-particle-irreducible) effective action to next-to-leading order. When the mean self-interactions are repulsive, condensation occurs as a consequence of a universal inverse particle cascade to the zero-momentum mode with self-similar scaling behavior. For attractive mean self-interactions, the inverse cascade is absent, and the particle annihilation rate is enhanced compared to the repulsive case, which counteracts the formation of coherent field configurations. For $N\ge 2$, the presence of a nonvanishing conserved charge can suppress number-changing processes and lead to the formation of stable localized charge clumps, i.e., $Q$ balls.

J. Berges, K. Boguslavski, A. Chatrchyan und J. Jaeckel, „Attractive vs. repulsive interactions
in the Bose-Einstein condensation dynamics of relativistic field theories“, Phys. Rev. D 96,2017 (2017).

https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.076020

Related to Project A03, A04, A05, B03