Absence of Ground States in the Translation Invariant Massless Nelson Model

被引：6

作者：

Dam, Thomas Norman ^{[1
]}

机构：

[1] Aarhus Univ, Dept Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 08期

关键词：

Primary; 81Q10; Secondary; 81T10;

D O I：

10.1007/s00023-020-00928-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem.

引用

页码：2655 / 2679

页数：25