Journal article

Nonequilibrium quantum-field dynamics and off-shell transport for φ4-theory in 2+1 dimensions


Authors listJuchem, S; Cassing, W; Greiner, C

Publication year2004

Pages92-126

JournalNuclear Physics A: Nuclear and Hadronic Physics

Volume number743

Issue number1-3

ISSN0375-9474

eISSN1873-1554

Open access statusGreen

DOI Linkhttps://doi.org/10.1016/j.nuclphysa.2004.07.010

PublisherElsevier


Abstract
We solve the Kadanoff-Baym equations for nonequilibrium initial configurations of the phi(4)-theory in 2 + 1 dimensions and compare to explicit solutions of generalized transport equations for the same theory. The latter transport equations are derived from the Kadanoff-Baym equation in a first order gradient expansion in phase-space and explicitly retain the off-shell dynamics as inherent in the time-dependent spectral functions. The solutions of these equations compare very well with the exact solutions of the full Kadanoff-Baym equations with respect to the occupation numbers of the individual modes, the spectral evolution as well as the chemical equilibration process. Furthermore, the proper equilibrium off-shell distribution is reached for large times contrary to the quasiparticle Boltzmann limit. We additionally present a direct comparison of the solution of the generalized transport equations in the Kadanoff-Baym and Botermans-Malfliet form; both solutions are found to agree very well with each other. (C) 2004 Elsevier B.V. All rights reserved.



Citation Styles

Harvard Citation styleJuchem, S., Cassing, W. and Greiner, C. (2004) Nonequilibrium quantum-field dynamics and off-shell transport for φ4-theory in 2+1 dimensions, Nuclear Physics A: Nuclear and Hadronic Physics, 743(1-3), pp. 92-126. https://doi.org/10.1016/j.nuclphysa.2004.07.010

APA Citation styleJuchem, S., Cassing, W., & Greiner, C. (2004). Nonequilibrium quantum-field dynamics and off-shell transport for φ4-theory in 2+1 dimensions. Nuclear Physics A: Nuclear and Hadronic Physics. 743(1-3), 92-126. https://doi.org/10.1016/j.nuclphysa.2004.07.010



Keywords


BOLTZMANN-EQUATIONCLUSTER-EXPANSIONfinite temperature field theoryGREEN-FUNCTION APPROACHHEAVY-ION COLLISIONSKADANOFF-BAYM EQUATIONSmany-body theoryMANY-BODY THEORYnonequilibrium statistical physicsNUCLEUS-NUCLEUS COLLISIONSout-of-equilibrium quantum field theoryrelativistic heavy-ion collisionsSELF-CONSISTENT APPROXIMATIONSSEMICLASSICAL TRANSPORTSPECTRAL FUNCTIONS

Last updated on 2025-10-06 at 09:32