The unbinding transition of the bipolaron

这个项目是一个更大的项目的一部分，该项目旨在对耦合到玻色场的几个粒子进行数学理解。这一领域的一个重要课题是研究带电粒子的散射过程。由于红外线问题，对这类过程的严格研究需要微妙的功能分析方法。在相对论(代数)量子场论中，已经发展出处理红外问题的有效技术。特别是，它们不要求在论证的中间阶段使用红外线截止。在我们的研究项目中，我们计划将这些方法应用于非相对论量子电动力学模型，其中散射理论还没有完全得到控制。我们的研究将为这些模型的渐近完备性问题提供一个新的视角。

This project is a part of a larger enterprise aimed at the mathematical understanding of a few particles coupled to a bosonic field. An important subject in this area is the investigation of scattering processes involving charged particles. Due to the infrared problem, rigorous study of such processes requires subtle functional-analytic methods. Efficient techniques to deal with the infrared problem have been developed in relativistic (algebraic) quantum field theory. In particular, they do not require the use of an infrared cut-off at intermediate stages of the argument. In our research project we plan to apply these methods to models of non-relativistic quantum electrodynamics, where scattering theory is not yet fully under control. Our investigations will offer a fresh look at the problem of asymptotic completeness in these models.