Coherent quasiparticle approximation cQPA and nonlocal coherence

Abstract

We show that the dynamical Wigner functions for noninteracting fermions and bosons can have complex singularity structures with a number of new solutions accompanying the usual mass-shell dispersion relations. These new shell solutions are shown to encode the information of the quantum coherence between particles and antiparticles, left and right moving chiral states and/or between different flavour states. Analogously to the usual derivation of the Boltzmann equation, we impose this extended phase space structure on the full interacting theory. This extension of the quasiparticle approximation gives rise to a self-consistent equation of motion for a density matrix that combines the quantum mechanical coherence evolution with a well defined collision integral giving rise to decoherence. Several applications of the method are given, for example to the coherent particle production, electroweak baryogenesis and study of decoherence and thermalization.

An invited talk presented at the conference "Progress in Nonequilibrium Greens Functions IV", University of Glasgow, August 17-21 2009. 15 pages 8 figures

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Cited by in corpus (11)

• Electroweak Baryogenesis in Two Higgs Doublet Models and B meson anomalies
• Electroweak baryogenesis at high wall velocities
• Effective Theory of Resonant Leptogenesis in the Closed-Time-Path Approach
• Ultrafast Dynamics of Strongly Correlated Fermions -- Nonequilibrium Green Functions and Selfenergy Approximations
• Flavoured quantum Boltzmann equations from cQPA
• Coherent quantum Boltzmann equations from cQPA
• Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation
• CP-violating transport theory for Electroweak Baryogenesis with thermal corrections
• Quantum transport and the phase space structure of the Wightman functions
• An exact solution of the Dirac equation with CP violation
• In memoriam Leonid V. Keldysh