Scattering of an Infraparticle: The One Particle Sector in Nelson’s Massless Model
Scattering of an Infraparticle: The One Particle Sector in Nelson’s Massless Model
复制标题
次粒子的散射：纳尔逊无质量模型中的一个粒子扇区
DOI：
--
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
A. Pizzo
中科院分区：
文献类型：
--
作者：
A. Pizzo
摘要：在纳尔逊无质量模型的单粒子部分，我们用含时方法构造散射态。在这样定义的散射子空间上，建立了与玻色子场有关的渐近Weyl算子的收敛性以及亚粒子平均速度的渐近极限.的建设依赖于一些光谱结果有关的单粒子（不适当的）状态的系统。此外，在物理感兴趣的区域中，我们假设基态能量的二阶导数作为总动量的函数从下面的正约束，在相互作用项中没有红外截止的限制中是均匀的。
Abstract.In the one-particle sector of Nelson’s massless model, we construct scattering states in the time-dependent approach. On the so-defined scattering subspaces, the convergence of the asymptotic Weyl operators related to the boson field as well as the asymptotic limit of the mean velocity of the infraparticle are established. The construction relies on some spectral results concerning the one-particle (improper) states of the system. Moreover, in the region of physical interest, we assume a positive bound from below for the second derivative of the ground state energy as a function of the total momentum, uniform in the limit of no infrared cut-off in the interaction term.