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Article Dans Une Revue Journal of Mathematical Physics Année : 2019

Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

Résumé

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.

Dates et versions

hal-02144018 , version 1 (29-05-2019)

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Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie. Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases. Journal of Mathematical Physics, 2019, 60 (6), pp.061901. ⟨10.1063/1.5094331⟩. ⟨hal-02144018⟩
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