
The interacting 2D Bose gas and nonlinear Gibbs measures
Lewin, Mathieu; Nam, Phan Thành; Rougerie, Nicolas (2018), The interacting 2D Bose gas and nonlinear Gibbs measures. https://basepub.dauphine.fr/handle/123456789/17957
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Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-01784153Date
2018Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePages
4
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Show full item recordAuthor(s)
Lewin, Mathieu
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Nam, Phan Thành
Rougerie, Nicolas
Laboratoire de physique et modélisation des milieux condensés [LPM2C]
Abstract (EN)
We announce a new theorem bearing on high-temperature 2D Bose gases. In a certain mean-field-like regime, the grand-canonical quantum Gibbs state reduces to a nonlinear Gibbs measure constructed from a renormalized mean-field energy functional. This establishes a rigorous connection between quantum fields and (singular) classical fields in the regime of interest.Subjects / Keywords
2D Bose gas; nonlinear Gibbs measuresRelated items
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