论文标题
$ ϕ^4 $型号的基态能量的一阶扩展
The first order expansion of a ground state energy of the $ϕ^4$ model with cutoffs
论文作者
论文摘要
在本文中，我们研究了带有截止的$ ϕ^4 $模型。通过引入空间截止和动量截止，Hamiltonian是玻色子空间上的自动伴侣操作员。在动量截止的规律性条件下，我们获得了总哈密顿量的非分类基态能量的一阶扩展。
In this paper, we investigate the $ϕ^4$ model with cutoffs. By introducing a spatial cutoff and a momentum cutoff, the total Hamiltonian is a self-adjoint operator on a boson Fock space. Under regularity conditions of the momentum cutoff, we obtain the first order expansion of a non-degenerate ground state energy of the total Hamiltonian.
