Kinetic Theory of Boson Gas
| Autor: | Yu. G. Molotkov, M. Yu. Nalimov, M. V. Komarova, Juha Honkonen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Quantum dynamics Propagator Statistical and Nonlinear Physics 01 natural sciences Renormalization Grand canonical ensemble Regularization (physics) 0103 physical sciences Effective field theory 010307 mathematical physics 010306 general physics Scaling Mathematical Physics Mathematical physics Boson |
| Zdroj: | Theoretical and Mathematical Physics. 200:1360-1373 |
| ISSN: | 1573-9333 0040-5779 |
| DOI: | 10.1134/s0040577919090095 |
| Popis: | We construct a quantum kinetic theory of a weakly interacting critical boson gas using the expectation values of products of Heisenberg field operators in the grand canonical ensemble. Using a functional representation for the Wick theorem for time-ordered products, we construct a perturbation theory for the generating functional of these time-dependent Green’s functions at a finite temperature. We note some problems of the functional-integral representation and discuss unusual apparent divergences of the perturbation expansion. We propose a regularization of these divergences using attenuating propagators. Using a linear transformation to variables with well-defined scaling dimensions, we construct an infrared effective field theory. We show that the structure of the regularized model is restored by renormalization. We propose a multiplicatively renormalizable infrared effective model of the quantum dynamics of a boson gas. |
| Databáze: | OpenAIRE |
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