论文标题
Cherenkov辐射，带有巨大的玻色子和量子摩擦
Cherenkov radiation with massive bosons and quantum friction
论文作者
论文摘要
这项工作专门用于非相关量子场理论（QFT）中的几种翻译不变的模型，描述了与量化的玻色子相对论场相互作用的非相关量子粒子。在这种情况下，我们旨在对小疾病的切伦科夫辐射或摩擦效应进行严格研究，这相当于当耦合到量化场的耦合时，自由非相关粒子的嵌入式质量壳的亚稳定性被打开。尽管通过穆雷（Mourre）著名的换向方法自然解决了这个问题，但已知重要的规律性问题是QFT模型固有的，并限制了该方法的应用。从这个角度来看，我们为穆雷共轭操作员引入了一种新颖的非标准施工程序，该程序与第二个量化不同，并允许规避规律性问题。为了显示其多功能性，我们将这种结构应用于带有巨大玻色子的尼尔森模型，弗里希里奇（Fröhlich）的polaron模型，以及布鲁诺（Bruneau）和debièvre引入的无质量玻色子的量子摩擦模型：对于这些示例，我们都会改善先前的结果。
This work is devoted to several translation-invariant models in non-relativistic quantum field theory (QFT), describing a non-relativistic quantum particle interacting with a quantized relativistic field of bosons. In this setting, we aim at the rigorous study of Cherenkov radiation or friction effects at small disorder, which amounts to the metastability of the embedded mass shell of the free non-relativistic particle when the coupling to the quantized field is turned on. Although this problem is naturally approached by means of Mourre's celebrated commutator method, important regularity issues are known to be inherent to QFT models and restrict the application of this method. In this perspective, we introduce a novel non-standard construction procedure for Mourre conjugate operators, which differs from second quantization and allows to circumvent regularity issues. To show its versatility, we apply this construction to the Nelson model with massive bosons, to Fröhlich's polaron model, and to a quantum friction model with massless bosons introduced by Bruneau and De Bièvre: for each of these examples, we improve on previous results.
