States localized on a boundary of the time-dependent parity-breaking medium

TL;DR

This paper investigates boundary-localized states of a massive vector field in a time-dependent parity-breaking medium, analyzing their formation, decay, amplification, and destruction under various conditions.

Contribution

It introduces a novel analysis of localized boundary states in inhomogeneous, time-dependent parity-breaking media, including their dynamic behavior and stability.

Findings

Localized boundary states can form at interfaces in parity-breaking media.

Adiabatic changes can cause decay or amplification of these states.

Non-adiabatic effects can destroy the localized states.

Abstract

We consider the massive vector field propagating in the inhomogeneous parity-breaking medium, such as the dense hot hadronic matter with chiral imbalance. The transition between the regions with approximately constant values of the parity-breaking parameter allows for the states localized on such boundary to occur. The adiabatic change of the background introduces either decay or the amplification of the localized states. We also discuss the non-adiabatic destruction of these bound states.