Excited Abelian-Higgs vortices: decay rate and radiation emission

TL;DR

This paper investigates how excited Abelian-Higgs vortices decay and emit radiation, combining analytical and numerical methods to understand their oscillations, radiation frequencies, and decay laws across different model parameters.

Contribution

It provides a detailed analytical and numerical study of vortex decay and radiation emission in the Abelian-Higgs model, highlighting the dependence on model parameters and internal modes.

Findings

Oscillating vortices radiate at twice the internal mode frequency.

Decay law derived from energy conservation matches numerical simulations.

Radiation emission occurs in both scalar and vector channels.

Abstract

The evolution of 1-vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum of the 1-vortex fluctuation operator on the model parameter is discussed initially. A perturbative approach is employed to study the radiation emission in both the scalar and the vector channels. Our findings reveal that the oscillating initial configuration of the 1-vortex radiates at a frequency twice that of the internal mode. Through energy conservation considerations, we derive the decay law of the massive mode. Finally, these analytical results are compared with numerical simulations in field theory.