Publication: A path-integral analysis of interacting Bose gases and Loop gases
A path-integral analysis of interacting Bose gases and Loop gases
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Fröhlich, J., Knowles, A., Schlein, B., & Sohinger, V. (2020). A path-integral analysis of interacting Bose gases and Loop gases. Journal of Statistical Physics, 180, 810–831. https://doi.org/10.1007/s10955-020-02543-x
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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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- Fröhlich, Jürg
- Knowles, Antti
- Schlein, Benjamin
- Sohinger, Vedran
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Fröhlich, J., Knowles, A., Schlein, B., & Sohinger, V. (2020). A path-integral analysis of interacting Bose gases and Loop gases. Journal of Statistical Physics, 180, 810–831. https://doi.org/10.1007/s10955-020-02543-x
