论文标题

戴森·舒林(Dyson-Schwinger)的方法使用时间订购的扰动理论

Dyson-Schwinger approach to pion-nucleon scattering using time-ordered perturbation theory

论文作者

Blankleider, B., Wray, J. L., Kvinikhidze, A. N.

论文摘要

我们介绍了pion-nucleon($πn$)散射的简单描述,这些散射考虑了pion吸收和创造的全部复杂性。为此,我们在时间订购的扰动理论的框架内解决了dyson-Schwinger方程。这使我们能够构建可分离$πn$ t矩阵的部分波,该矩阵在涉及穿着核子的核过程模型中很有用。同时,我们的方法展示了量子场理论的特征,例如粒子敷料,重态化和使用dyson-schwinger方程的使用,在非偏见的上下文中,最大程度地接近量子力学。因此,本文也可能具有教学意义。

We present a simple description of pion-nucleon ($πN$) scattering taking into account the full complexity of pion absorption and creation on the nucleon. To do this we solve Dyson-Schwinger equations within the framework of Time-Ordered Perturbation Theory. This enables us to construct partial wave separable $ πN$ t matrices that can be useful in models of nuclear processes involving fully dressed nucleons. At the same time, our approach demonstrates features of Quantum Field Theory, like particle dressing, renormalisation, and the use of Dyson-Schwinger equations, in a non-relativistic context that is maximally close to that of Quantum Mechanics. For this reason, this article may also be of pedagogical interest.

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