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On Asymptotic Expansions in Spin-Boson Models

机译:关于旋转玻色型的渐近扩展

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摘要

We consider expansions of eigenvalues and eigenvectors of models of quantum field theory. For a class of models known as generalized spin-boson model, we prove the existence of asymptotic expansions of the ground state and the ground state energy to arbitrary order. We need a mild but very natural infrared assumption, which is weaker than the assumption usually needed for other methods such as operator theoretic renormalization to be applicable. The result complements previously shown analyticity properties.
机译:我们考虑扩展量子场理论模型的特征值和特征向量。 对于一类被称为广义旋转玻色子模型的模型,我们证明了地面状态的渐近扩展的存在和地位能量的任意顺序。 我们需要一个温和但非常自然的红外假设,这比通常需要的假设较弱,例如操作员理论重整化等待适用。 结果是先前显示的分析性质的补充。

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