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arXiv · 2001.11714

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

Jürg Fröhlich·Antti Knowles·Benjamin Schlein·Vedran Sohinger
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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 $\vert \boldsymbol{\phi} \vert^{4}$-theory.

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Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger. 2020-01-31. A path-integral analysis of interacting Bose gases and loop gases. https://doi.org/10.1007/s10955-020-02543-x

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