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

Jul 24, 2017
20 pages
Published in:
  • Phys.Rev.D 96 (2017) 7, 076020
  • Published: Oct 30, 2017
e-Print:

Citations per year

201720192021202320250123456
Abstract: (APS)
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(N)-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≥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.
Note:
  • 30 pages, 8 figures, minor revision, published version
  • condensation: Bose-Einstein
  • field theory: scalar
  • field theory: relativistic
  • charge: conservation law
  • momentum: low
  • higher-order: 1
  • formation
  • cascade
  • effective action
  • annihilation