Multiple Layer Structure of Non-Abelian Vortex
Minoru Eto, Toshiaki Fujimori, Takayuki Nagashima, Muneto Nitta,, Keisuke Ohashi, Norisuke Sakai
TL;DR
This paper investigates the layered structure of non-Abelian vortices in U(N) gauge theories, revealing that their widths depend nontrivially on gauge coupling ratios and differ from expected Compton lengths.
Contribution
It provides both numerical and analytical analysis of the multi-layer structure of BPS vortices, highlighting the dependence of their widths on gauge coupling ratios.
Findings
Widths differ significantly from Compton lengths of lightest particles.
Numerical and analytical methods confirm the layered structure.
Widths depend nontrivially on the ratio of gauge couplings.
Abstract
Bogomol'nyi-Prasad-Sommerfield (BPS) vortices in U(N) gauge theories have two layers corresponding to non-Abelian and Abelian fluxes, whose widths depend nontrivially on the ratio of U(1) and SU(N) gauge couplings. We find numerically and analytically that the widths differ significantly from the Compton lengths of lightest massive particles with the appropriate quantum number.
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