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Article
Report number arXiv:1910.10979 ; CERN-TH-2019-173
Title Quantum transport and the phase space structure of the Wightman functions
Author(s) Jukkala, Henri (Jyvaskyla U. ; Helsinki U.) ; Kainulainen, Kimmo (Jyvaskyla U. ; Helsinki U. ; CERN) ; Koskivaara, Olli (Jyvaskyla U. ; Helsinki U.)
Publication 2020-01-03
Imprint 2019-10-24
Number of pages 28
Note 27 pages, 9 figures; (v2) minor changes, results unchanged
In: JHEP 01 (2020) 012
DOI 10.1007/JHEP01(2020)012
Subject category gr-qc ; General Relativity and Cosmology ; astro-ph.CO ; Astrophysics and Astronomy ; hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology
Abstract We study the phase space structure of exact quantum Wightman functions in spatially homogeneous, temporally varying systems. In addition to the usual mass shells, the Wightman functions display additional coherence shells around zero frequency $k_0=0$, which carry the information of the local quantum coherence of particle-antiparticle pairs. We find also other structures, which encode non-local correlations in time, and discuss their role and decoherence. We give a simple derivation of the cQPA formalism, a set of quantum transport equations, that can be used to study interacting systems including the local quantum coherence. We compute quantum currents created by a temporal change in a particle's mass, comparing the exact Wightman function approach, the cQPA and the semiclassical methods. We find that the semiclassical approximation, which is fully encompassed by the cQPA, works surprisingly well even for very sharp temporal features. This is encouraging for the application of semiclassical methods in electroweak baryogenesis with strong phase transitions.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2019-2025 The Authors (License: CC-BY-4.0)



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