Spectral Gap in Mean-Field O(n)-Model

被引：0
|
作者：
Becker, Simon [1 ]
Menegaki, Angeliki [2 ]
机构：
[1] Univ Cambridge, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
[2] Univ Cambridge, DPMMS, Wilberforce Rd, Cambridge CB3 0WA, England
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 380卷 / 03期
基金：
英国工程与自然科学研究理事会;
关键词：
LOGARITHMIC SOBOLEV INEQUALITY; SPIN SYSTEMS;
D O I：
10.1007/s00220-020-03908-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the dependence of the spectral gap for the generator of the Ginzburg-Landau dynamics for all O(n)-models with mean-field interaction and magnetic field, below and at the critical temperature on the number N of particles. For our analysis of the Gibbs measure, we use a one-step renormalization approach and semiclassical methods to study the eigenvalue-spacing of an auxiliary Schrodinger operator.
引用
收藏
页码：1361 / 1400
页数：40
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