Gibbs measures for the repulsive Bose gas
Probability
2023-03-20 v2 Mathematical Physics
math.MP
Abstract
We prove the existence of Gibbs measures for the Feynman representation of the Bose gas with non-negative interaction in the grand-canonical ensemble. Our results are valid for all negative chemical potentials as well as slightly positive chemical potentials. We consider both the Gibbs property of marked points as well as a Markov--Gibbs property of paths.
Keywords
Cite
@article{arxiv.2211.03569,
title = {Gibbs measures for the repulsive Bose gas},
author = {Tianyi Bai and Quirin Vogel},
journal= {arXiv preprint arXiv:2211.03569},
year = {2023}
}
Comments
37 pages, 7 figures