论文标题
低维系统中有效的理论和非最小耦合
Effective theories and non-minimal couplings in low-dimensional systems
论文作者
论文摘要
研究了非最小电磁耦合的维度方面。通过折叠式 - 杜斯林的转化，我们在三维时空中获得了与非微耦合有关的（非）相对论相互作用，对于骨率和费米子磁场。接下来，我们建立一些比较并分析特定情况，其中麦克斯韦或麦克斯韦 - 切尔尼 - 西蒙斯电动力学描述了外部电磁场。此外，我们考虑了在四个维度上为费米子场的非最小耦合的情况，将其维度降低到三个维度，并表明以前可以为特定情况恢复了以前处理的三维场景。最后，我们讨论了这两个程序的许多结构方面。
Dimensionality aspects of non-minimal electromagnetic couplings are investigated. By means of the Foldy-Wouthuysen transformation, we attain (non-)relativistic interactions related to the non-minimal coupling in three-dimensional spacetime, for both the bosonic and fermionic fields. Next, we establish some comparisons and analyse particular situations in which the external electromagnetic fields are described either by Maxwell or Maxwell-Chern-Simons Electrodynamics. In addition, we consider the situation of a non-minimal coupling for the fermionic field in four dimensions, carry out its dimensional reduction to three dimensions and show that the three-dimensional scenario previously worked out can be recovered as a particular case. Finally, we discuss a number of structural aspects of both procedures.
