Nonequilibrium time evolution of the spectral function in quantum field theory

Details Nonequilibrium time evolution of the spectral function in quantum field theory Nonequilibrium time evolution of the spectral function in quantum field theory

2001-03-05

arxiv.org/abs/hep-ph/0103049v2

Phys.Rev.D64:105010,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages with 6 eps figures, explanation and references added; to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.64.105010

Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without a gradient expansion or on-shell approximation. For a scalar field in 1+1 dimensions the nonlinear evolution, including the integration over memory kernels, can be solved numerically. We find that a spectral function approximately described by a nonzero width emerges dynamically. During the nonequilibrium time evolution the Wigner transformed spectral function is slowly varying, even in presence of strong qualitative changes in the effective particle distribution. These results may be used to make further analytical progress towards a quantum Boltzmann equation including off-shell effects and a nonzero width.

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