Thumbnail

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

View/Open
Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-01784153
Date
2018
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Pages
4
Metadata
Show full item record
Author(s)
Lewin, Mathieu cc
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 measures