标题： 通过费曼图求和的局域外部势垒的隧穿振幅 显示英文标题

标题： Tunnelling amplitudes through localised external potentials from Feynman diagram summation

摘要： 目前尚无与量子场论相容的粒子通过势垒的量子隧穿的一般理论。 我们使用量子场论方法，对一些简单的势场，完整地计算了标量场的隧穿振幅。 利用微扰S矩阵形式主义，从克莱因-戈登拉格朗日量出发，我们证明了费曼图的无限求和可以恢复与相对论量子力学一致的隧穿振幅。 虽然这项工作不包括来自完全量子化量子场论的多粒子效应，但有必要研究量子场论对隧穿振幅的修正。 显示英文摘要

摘要： Currently there is no general theory of quantum tunnelling of a particle through a potential barrier which is compatible with QFT. We present a complete calculation of tunnelling amplitudes for a scalar field for some simple potentials using quantum field-theoretic methods. Using the perturbative S-matrix formalism, starting with the Klein-Gordon Lagrangian, we show that an infinite summation of Feynman diagrams can recover tunnelling amplitudes consistent with relativistic quantum mechanics. While this work does not include many-particle effects arising from a fully quantised QFT, it is necessary to investigate QFT corrections to tunnelling amplitudes.