Proves convergence of grand canonical Gibbs states for lattice Bose gases to mean-field classical field theory and large-mass classical particle theory via interacting loop ensembles, valid for small interactions even in infinite volume.
Ginibre, Some applications of functional integration in statistical mechanics, Mécanique statistique et théorie quantique des champs, Les Houches (1971), 327–427
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Interacting loop ensembles and Bose gases
Proves convergence of grand canonical Gibbs states for lattice Bose gases to mean-field classical field theory and large-mass classical particle theory via interacting loop ensembles, valid for small interactions even in infinite volume.