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

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arxiv 1903.01271 v2 pith:Z4VP63V2 submitted 2019-03-04 math-ph math.MP

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

Mathieu Lewin , Phan Th\`anh Nam , Nicolas Rougerie This is my paper
classification math-ph math.MP
keywords gibbsmany-bodyderivationrenormalizedaccomplishedanalogousbosechemical
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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.

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