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

Lewin, Mathieu; Phan Thanh, Nam und Rougerie, Nicolas (2019): Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases. In: Journal of Mathematical Physics, Bd. 60, Nr. 6, 061901

Abstract

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-2488
• Sprache: Englisch