Spectral analysis of an abstract pair interaction model
Spectral analysis of an abstract pair interaction model
复制标题
抽象配对交互模型的谱分析
DOI：
10.14492/hokmj/2018-876
复制
发表时间：
2018
影响因子：
0.5
通讯作者：
Daiju Funakawa
中科院分区：
文献类型：
--
作者：
Keisuke Asahara;Daiju Funakawa
We consider an abstract pair-interaction model in quantum field theory with a coupling constant $\lambda\in {\mathbb R}$ and analyze the Hamiltonian $H(\lambda)$ of the model. In the massive case, there exist constants $\lambda_{\rm c} \lambda_{\rm c}$ is different from that for $\lambda\in (\lambda_{{\rm c},0}, \lambda_{\rm c})$. As for the case $\lambda<\lambda_{{\rm c},0}$, we show that $H(\lambda)$ is unbounded from above and below. In the massless case, $\lambda_{\rm c}$ coincides with $\lambda_{{\rm c},0}$.
We consider an abstract pair-interaction model in quantum field theory with a coupling constant $\lambda\in {\mathbb R}$ and analyze the Hamiltonian $H(\lambda)$ of the model. In the massive case, there exist constants $\lambda_{\rm c} \lambda_{\rm c}$ is different from that for $\lambda\in (\lambda_{{\rm c},0}, \lambda_{\rm c})$. As for the case $\lambda<\lambda_{{\rm c},0}$, we show that $H(\lambda)$ is unbounded from above and below. In the massless case, $\lambda_{\rm c}$ coincides with $\lambda_{{\rm c},0}$.