带截止点的ϕ4模型的基态能量的一阶展开

Toshimitsu Takaesu
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引用次数: 0

摘要

本文研究了带截止点的$\phi^4$模型。通过引入空间截断和动量截断,使总哈密顿算子成为玻色子Fock空间上的自伴随算子。在动量截断的规则性条件下,我们得到了总哈密顿量的非简并基态能量的一阶展开式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The first order expansion of a ground state energy of the ϕ4 model with cutoffs
In this paper, we investigate the $\phi^4$ 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.
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