Non-Abelian Sine-Gordon Solitons

Abstract

We point out that non-Abelian sine-Gordon solitons stably exist in the $U(N)$ chiral Lagrangian. They also exist in a $U(N)$ gauge theory with two $N$ by $N$ complex scalar fields coupled to each other. One non-Abelian sine-Gordon soliton can terminate on one non-Abelian global vortex. They are relevant in chiral Lagrangian of QCD or in color-flavor locked phase of high density QCD, where the anomaly is suppressed at asymptotically high temperature or density, respectively.

22 pages, 2 figures, v2: typos corrected, v3: references added, published version

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Cited by in corpus (7)

• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Relations among topological solitons
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Quantum nucleation of topological solitons
• Quasicrystals in QCD
• Nambu-Goldstone bosons characterized by the order parameter in spontaneous symmetry breaking