论文标题
电荷散射中的伪造杆
Spurious Poles in the Scattering of Electric and Magnetic Charges
论文作者
论文摘要
具有电荷和磁性电荷(“相互非本地”理论)的理论具有计算散射幅度的几个主要障碍。即使通过两个独立的动力学混合而产生相互作用,u(1)的相互作用,因此所有低能的相互作用都是扰动的,仍然存在困难:使用自动划分的局部形式主义会导致在扰动理论中以任何有限的有限顺序出现虚假的杆子。正确的计算必须显示伪杆如何在可观察到的散射幅度中取消。一致性要求将一种类型的电荷限制在u(1)被打破的结果。在这里,我们展示了对可观察过程的禁闭和平价保护的约束如何取消散射和配对生产幅度中的伪造杆,这为对“黑暗”电磁过程的实验签名的系统研究铺平了道路。一路上,我们展示了在电磁相互作用中的一些新作用,包括电颗粒通过电颗粒产生磁性颗粒的幅度消失。
Theories with both electric and magnetic charges ("mutually non-local" theories) have several major obstacles to calculating scattering amplitudes. Even when the interaction arises through the kinetic mixing of two, otherwise independent, U(1)'s, so that all low-energy interactions are perturbative, difficulties remain: using a self-dual, local formalism leads to spurious poles at any finite order in perturbation theory. Correct calculations must show how the spurious poles cancel in observable scattering amplitudes. Consistency requires that one type of charge is confined as a result of one of the U(1)'s being broken. Here we show how the constraints of confinement and parity conservation on observable processes manages to cancel the spurious poles in scattering and pair production amplitudes, paving the way for systematic studies of the experimental signatures of "dark" electric-magnetic processes. Along the way we demonstrate some novel effects in electric-magnetic interactions, including that the amplitude for single photon production of magnetic particles by electric particles vanishes.