Low-Lying Cosmic String Spectrum and Background Fields in Effective String Theory

TL;DR

This paper analyzes the spectrum of cosmic strings, focusing on low-lying modes, including Nambu-Goldstone and scalar breather modes, and explores how background fields and interactions influence these excitations.

Contribution

It provides explicit numerical solutions for the lowest-lying cosmic string modes and demonstrates the emergence of pseudoscalar bound states through added interactions.

Findings

Lowest-lying modes include Nambu-Goldstone and scalar breather modes

Pseudoscalar bound states can be realized with bosonic fields

Background interactions arise from bulk UV theory modifications

Abstract

We present a detailed analysis of the cosmic string spectrum. Explicit solutions are numerically found using Mathematica and presented here for the lowest-lying supported modes. Most of the emphasis is on the Nambu-Goldstone modes and the least massive excitation, the latter of which is shown to be the scalar breather mode. We address the possibility of pseudoscalar excitations by adding suitable interactions to the string and show that it is possible to have a least massive pseudoscalar bound state with only bosonic fields. We finally show how certain interactions in the bulk UV theory give rise to background field interactions in the effective string theory.