论文标题
红外重新归一化的翻译不变的非相关性QED的基态
Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
论文作者
论文摘要
我们考虑了一种翻译不变的Pauli-fierz模型，描述了与量化电磁场相互作用的非相关的带电量子机械粒子。带电的粒子可能无旋或旋转一半。我们将哈密顿量相对于总动量分解为所谓的纤维哈密顿人的直接组成部分。我们对每种纤维哈密顿纤维的融合融合的意义上进行了红外重新归一化，该纤维具有去除无限光子云的物理解释。我们表明，重新归一化的纤维哈密顿人的基础状态几乎所有值的总动量，模量小于1。
We consider a translation-invariant Pauli-Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The charged particle may be spinless or have spin one half. We decompose the Hamiltonian with respect to the total momentum into a direct integral of so called fiber Hamiltonians. We perform an infrared renormalization, in the sense of norm resolvent convergence, for each fiber Hamiltonian, which has the physical interpretation of removing an infinite photon cloud. We show that the renormalized fiber Hamiltonians have a ground state for almost all values for the total momentum with modulus less than one.
