A Path-Integral Analysis of Interacting Bose Gases and Loop Gases
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Date
2020-09
Publication Type
Journal Article
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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 |ϕ|4-theory
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published
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Volume
180
Pages / Article No.
810 - 831
Publisher
Springer
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Subject
Interacting Bose gases; Functional integral representation of equilibrium states; Loop gases; Ginibre and Symanzik representations; Mean-field limit; Gibbs measures