New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics

TL;DR

This paper explores the effects of stationary point-like sources, including new topological and Dirac points, in Maxwell-Chern-Simons electrodynamics with conducting surfaces, revealing unique field configurations and interaction phenomena.

Contribution

It introduces two new point-like sources, analyzes their interactions with conducting surfaces, and demonstrates the validity or breakdown of the image method for these sources.

Findings

Dirac points generate vortex field configurations.

Image method applies to charges and Dirac points, but not to topological sources.

Topological sources induce torques on the conducting surface.

Abstract

We investigate some aspects of the Maxwell-Chern-Simons electrodynamics focusing on physical effects produced by the presence of stationary sources and a perfectly conducting plate (mirror). Specifically, in addition to point charges, we propose two new types of point-like sources called topological source and Dirac point, and we also consider physical effects in various configurations that involve them. We show that the Dirac point is the source of the vortex field configurations. The propagator of the gauge field due to the presence of a conducting plate and the interaction forces between the plate and point-like sources are computed. It is shown that the image method is valid for the point-like charges as well as for Dirac points. For the topological source we show that the image method is not valid and the symmetry of spatial refection on the mirror is broken. In all setups considered, it is shown that the topological source leads to the emergence of torques.