带截止点的ϕ4模型的基态能量的一阶展开

arXiv: Mathematical Physics Pub Date : 2020-12-09 DOI:10.1063/5.0040022

Toshimitsu Takaesu

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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。

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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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arXiv: Mathematical Physics

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