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.

arXiv comment22 pages, 2 figures, v2: typos corrected, v3: references added, published version

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Cited by in corpus (25)

• Multi-kink collisions in the ${\varphi }^6$ model
• 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
• Domain Wall Skyrmions in Chiral Magnets
• Phases of rotating baryonic matter: non-Abelian chiral soliton lattices, antiferro-isospin chains, and ferri/ferromagnetic magnetization
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Chiral sine-Gordon model
• Quantum nucleation of topological solitons
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Quasicrystals in QCD
• Topological Defects in the Georgi-Machacek Model
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Nambu-Goldstone bosons characterized by the order parameter in spontaneous symmetry breaking
• Field theoretical model of multi-layered Josephson junction and dynamics of Josephson vortices
• Chemical bonds of two vortex species with a generalized Josephson term and arbitrary charges
• Superfluid properties of bright solitons in a ring
• Toda chain from the kink-antikink lattice
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Chiral non-Abelian vortex molecules in dense QCD
• Fermionic domain-wall Skyrmions of QCD in a magnetic field
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory