相互作用的二维玻色气体与非线性吉布斯测度
数学物理
2018-05-10 v1 偏微分方程分析
math.MP
概率论
计算物理
摘要
我们宣布一个关于高温二维玻色气体的新定理。在某种类平均场 regime 下，巨正则量子吉布斯态约化为由重整化平均场能量泛函构造的非线性吉布斯测度。这在所关注的 regime 下建立了量子场与（奇异）经典场之间的严格联系。
引用
@article{arxiv.1805.03506,
title = {The interacting 2D Bose gas and nonlinear Gibbs measures},
author = {Mathieu Lewin and Phan Thành Nam and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1805.03506},
year = {2018}
}
备注
The result was announced at the Oberwolfach mini-workshop "Gibbs measures for nonlinear dispersive equations" organized by Giuseppe Genovese, Benjamin Schlein and Vedran Sohinger