4.4 Article

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

Journal

JOURNAL OF MATHEMATICAL PHYSICS
Volume 60, Issue 6, Pages -

Publisher

AIP Publishing
DOI: 10.1063/1.5094331

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Funding

  1. European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Programme [MDFT 725528, CORFRONMAT 758620]

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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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