Non-Abelian Global Vortices

Abstract

We study topologically stable non-Abelian global vortices in the U(N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behaviour of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution carrying a non-integer U(1) winding number 1/\sqrt{N} which is irrational in general.

28 pages, 6 figures

References in corpus (14)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Instantons in the Higgs Phase
• On the moduli space of semilocal strings and lumps
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Webs of Walls
• Statistical Mechanics of Vortices from D-branes and T-duality
• Non-Abelian vortices and monopoles in SO(N) theories
• Quiver Gauge Theory and Noncommutative Vortices
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• D-brane Configurations for Domain Walls and Their Webs
• Non-Abelian Global Strings at Chiral Phase Transition
• Static Interactions of non-Abelian Vortices
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Skyrme Strings