Remarks on the ground state energy of the spin-boson model. An application of the Wigner-Weisskopf model

被引:18
作者
Hirokawa, M [1 ]
机构
[1] Okayama Univ, Fac Sci, Dept Math, Okayama 7008530, Japan
基金
日本学术振兴会;
关键词
massless quantum field; Fock space; infrared problem; spin-boson model; Wigner-Weisskopf model; ground state energy;
D O I
10.1142/S0129055X01000727
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For the ground state energy of the spin-boson (SB) model, we give a new upper bound in the case with infrared singularity condition (i.e. without infrared cutoff), and a new lower bound in the case of massless bosons with infrared regularity condition. We first investigate spectral properties of the Wigner-Weisskopf (WW) model, and apply them to SE model to achieve our purpose. Then, as an extra result of the spectral analysis for WW model, we show that a non-perturbative ground state appears, and its ground state energy is so low that we cannot conjecture it by using the regular perturbation theory.
引用
收藏
页码:221 / 251
页数:31
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