Passing the boundary between the parity breaking medium and vacuum by vector particles

TL;DR

This paper investigates how vector particles, including photons and massive vector mesons, pass through a boundary between a Chern-Simons medium and vacuum, revealing reflection effects and boundary transmission behaviors.

Contribution

It provides a detailed analysis of boundary crossing phenomena for vector particles in a Chern-Simons modified electrodynamics framework, considering both space-like and time-like CS vectors.

Findings

Reflection effects can be total or partial depending on boundary conditions.

Vector particles can pass through the boundary with specific transmission probabilities.

The nature of the CS vector influences the boundary crossing behavior.

Abstract

The electrodynamics supplemented with a Chern-Simons (CS) action (Carrol-Field-Jackiw electrodynamics) in a half space is studied. The passage of photons and/or massive vector mesons through a boundary between the CS medium and the vacuum of conventional Maxwell electrodynamics is investigated. Effects of reflection from a boundary (up to the total one) are revealed when vector particles escape to vacuum and income from vacuum passing the boundary. Both the space-like and time-like CS vectors are considered.