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.
Salmhofer, Functional Integral and Stochastic Representations for Ensembles of Identical Bosons on a Lattice, Comm
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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.