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Lewin, Mathieu; Phan Thanh, Nam; Rougerie, Nicolas (2019): Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases. In: Journal of Mathematical Physics, Vol. 60, No. 6, 061901
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We review our recent result on the rigorous derivation of the renormalized Gibbs measure from the many-body Gibbs state in 1D and 2D. The many-body renormalization is accomplished by simply tuning the chemical potential in the grand-canonical ensemble, which is analogous to the Wick ordering in the classical field theory.