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Coherent quasiparticle approximation cQPA and nonlocal coherence · Around

2009

Coherent quasiparticle approximation cQPA and nonlocal coherence

Herranen, Matti, Kainulainen, Kimmo, Rahkila, Pyry M.

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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.

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K. Kainulainen, T. Prokopec, M. G. Schmidt and S. Weinstock, JHEP 0106

2004

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See G. Baym, these proceedings

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M. Herranen, K. Kainulainen and P.M. Rahkila, in progress

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M. Herranen, PhD Dissertation, University of Jyväskylä, [arXiv:0906.3136 [hep-ph]]

Cited in the paper.