Out-of-equilibrium quantum fields with conserved charge

Details Out-of-equilibrium quantum fields with conserved charge Out-of-equilibrium quantum fields with conserved charge

2003-10-10

arxiv.org/abs/hep-ph/0310133v2

Phys.Rev. D69 (2004) 105013

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 5 figures, replacement with improved presentation

Scientific paper

10.1103/PhysRevD.69.105013

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.

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