dorsal/arxiv
View SchemaNonequilibrium Quantum-Field Dynamics and Off-Shell Transport for $\phi^4$-theory in 2+1 dimensions
| Authors | S. Juchem, W. Cassing, C. Greiner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0401046 |
| URL | https://arxiv.org/abs/nucl-th/0401046 |
| DOI | 10.1016/j.nuclphysa.2004.07.010 |
| Journal | Nucl.Phys. A743 (2004) 92-126 |
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.
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"abstract": "We solve the Kadanoff-Baym equations for nonequilibrium initial\nconfigurations of the $\\phi^4$-theory in 2+1 dimensions and compare to explicit\nsolutions of generalized transport equations for the same theory. The latter\ntransport equations are derived from the Kadanoff-Baym equation in a first\norder gradient expansion in phase space and explicitly retain the off-shell\ndynamics as inherent in the time-dependent spectral functions. The solutions of\nthese equations compare very well with the exact solutions of the full\nKadanoff-Baym equations with respect to the occupation numbers of the\nindividual modes, the spectral evolution as well as the chemical equilibration\nprocess. Furthermore, the proper equilibrium off-shell distribution is reached\nfor large times contrary to the quasiparticle Boltzmann limit. We additionally\npresent a direct comparison of the solution of the generalized transport\nequations in the Kadanoff-Baym and Botermans-Malfliet form; both solutions are\nfound to agree very well with each other.",
"arxiv_id": "nucl-th/0401046",
"authors": [
"S. Juchem",
"W. Cassing",
"C. Greiner"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.07.010",
"journal_ref": "Nucl.Phys. A743 (2004) 92-126",
"title": "Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for $\\phi^4$-theory in 2+1 dimensions",
"url": "https://arxiv.org/abs/nucl-th/0401046"
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