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A path-integral analysis of interacting Bose gases and Loop gases


Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran (2020). A path-integral analysis of interacting Bose gases and Loop gases. Journal of Statistical Physics, 180(1-6):810-831.

Abstract

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs measures of classical field theories with quartic Hartree-type self-interaction, and to the Gibbs states of classical gases of point particles. We discuss various open problems and conjectures concerning, e.g., Bose–Einstein condensation, polymers and |ϕ|4-theory.

Abstract

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs measures of classical field theories with quartic Hartree-type self-interaction, and to the Gibbs states of classical gases of point particles. We discuss various open problems and conjectures concerning, e.g., Bose–Einstein condensation, polymers and |ϕ|4-theory.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:340 Law
610 Medicine & health
510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics
Uncontrolled Keywords:Mathematical Physics, Statistical and Nonlinear Physics
Language:English
Date:1 September 2020
Deposited On:06 Nov 2020 09:37
Last Modified:07 Nov 2020 21:00
Publisher:Springer
ISSN:0022-4715
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/s10955-020-02543-x

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