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The interacting 2D Bose gas and nonlinear Gibbs measures

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Oberwolfach_v1-Apr18.pdf (226.2Kb)
Date
2018
Publishing date
05-2018
Collection title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Link to item file
https://hal.archives-ouvertes.fr/hal-01784153
Dewey
Analyse
Sujet
2D Bose gas; nonlinear Gibbs measures
URI
https://basepub.dauphine.fr/handle/123456789/17957
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Lewin, Mathieu
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Nam, Phan Thành
status unknown
Rougerie, Nicolas
688 Laboratoire de physique et modélisation des milieux condensés [LPM2C]
Type
Document de travail / Working paper
Item number of pages
4
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.

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