通过限制在光锥上解决非相对论QED中的速度超选择问题
Curing velocity superselection in non-relativistic QED by restriction to a lightcone
AI总结：
该研究针对非相对论QED中的速度超选择红外问题，提出将电子态限制于未来光锥内场的子代数的解决方法，基于自由电磁学未来光锥代数相干态GNS表示等价性证明其有效性，为Buchholz-Roberts红外问题方法提供了支撑。
摘要：
物理学上预期，量子电动力学（QED）中电子的平面波构型会诱导出电磁场代数的不相交表示。这种速度超选择现象是红外问题的一个方面，在非相对论（泡利-菲耶齐型）QED模型中已得到严格的数学证明。我们证明，在这类模型中，通过将电子态限制为局域在未来光锥内的场的子代数，可以解决速度超选择问题。这一结论实际上源自一个更具普遍性的命题：自由电磁学中未来光锥代数的相干态对应的GNS表示是等价的。我们的分析在非相对论框架下具有实际意义，并为Buchholz-Roberts红外问题研究方法提供了支持证据。
英文摘要：
It is physically expected that plane-wave configurations of the electron in QED induce disjoint representations of the algebra of the electromagnetic fields. This phenomenon of velocity superselection, which is one aspect of the infrared problem, is mathematically well established in non-relativistic (Pauli-Fierz type) models of QED. We show that velocity superselection can be resolved in such models by restricting the electron states to the subalgebra of the fields localized in the future lightcone. This actually follows from a more general statement about equivalence of GNS representations for coherent states of the algebra of the future lightcone in free electromagnetism. Our analysis turns out to be meaningful in the non-relativistic setting and provides evidence in favour of the Buchholz-Roberts approach to infrared problems.
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