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

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.

arXiv commentContribution to Proceedings of the International Congress of Mathematical Physics, Montreal, Canada, July 23-28, 2018

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Cited by in corpus (3)

• Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
• Focusing ${\Phi }_3^4$-model with a Hartree-type nonlinearity
• Convergence rate towards the fractional Hartree-equation with singular potentials in higher Sobolev norms