Non-Abelian Global Strings at Chiral Phase Transition

TL;DR

This paper constructs and analyzes non-Abelian global string solutions in a linear sigma model, revealing their fundamental role during chiral phase transitions and identifying associated Nambu-Goldstone modes.

Contribution

It introduces non-Abelian global string solutions in the U(N)_L x U(N)_R linear sigma model, highlighting their significance in chiral phase transitions and the emergence of Nambu-Goldstone modes.

Findings

Non-Abelian strings are fundamental objects during chiral phase transitions.

Nambu-Goldstone modes of CP^{N-1} arise around non-Abelian vortices.

The Abelian eta' string decomposes into N non-Abelian strings.

Abstract

We construct non-Abelian global string solutions in the U(N)_L x U(N)_R linear sigma model. These strings are the most fundamental objects which are expected to form during the chiral phase transitions, because the Abelian eta' string is marginally decomposed into N of them. We point out Nambu-Goldstone modes of CP^{N-1} for breaking of U(N)_V arise around a non-Abelian vortex.