The Gibbs state of an interacting Bose gas on the three-dimensional torus is proven to converge, in a tuned semiclassical limit, to the renormalized Phi^4_3 measure.
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$\Phi^4_3$ Theory from many-body quantum Gibbs states
The Gibbs state of an interacting Bose gas on the three-dimensional torus is proven to converge, in a tuned semiclassical limit, to the renormalized Phi^4_3 measure.