Out-of-equilibrium quantum fields with conserved charge
arXiv:hep-ph/0310133 · doi:10.1103/PhysRevD.69.105013
Abstract
We study the out-of-equilibrium evolution of an O(2)-invariant scalar field in which a conserved charge is stored. We apply a loop expansion of the 2-particle irreducible effective action to 3-loop order. Equations of motion are derived which conserve both total charge and total energy yet allow for the effects of scattering whereby charge and energy can transfer between modes. Working in (1+1)-dimensions we solve the equations of motion numerically for a system knocked out of equilibrium by a sudden temperature quench. We examine the initial stages of the charge and energy redistribution. This provides a basis from which we can understand the formation of Bose-Einstein condensates from first principles.
11 pages, 5 figures, replacement with improved presentation
References in corpus (11)
- Theory of Bose-Einstein condensation in trapped gases
- Controlled nonperturbative dynamics of quantum fields out of equilibrium
- Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
- Thermalization of Quantum Fields from Time-Reversal Invariant Evolution Equations
- Phase Transitions out of Equilibrium: domain formation and growth
- Winding up by a quench: vortices in the wake of rapid Bose-Einstein condensation
- Quantum Kinetic Theory VI: The Growth of a Bose-Einstein Condensate
- Particle Production and Effective Thermalization in Inhomogeneous Mean Field Theory
- Time evolution of correlation functions in Non-equilibrium Field Theories
- Simple criterion for the occurrence of Bose-Einstein condensation
- Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the 2PPI formalism