In this paper, we investigate the ϕ⁴ 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.

中文翻译：

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具有截止的ϕ4模型基态能量的一阶展开

在本文中，我们研究了具有截止值的ϕ ⁴模型。通过引入空间截止和动量截止，总哈密顿量成为玻色子Fock空间上的自伴算子。在动量截止的规则条件下，我们获得了总哈密顿量的非退化基态能量的一阶展开。