Non-Abelian sine-Gordon solitons

2014/12/31 by Muneto Nitta · 3 citations
Mathematics · Physics and Astronomy · #Abelian group #Anomaly (physics) #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Lagrangian #Mathematical physics #Mathematics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Sine #Soliton #Vortex #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2015.04.006

published as Nucl.Phys.B895:288-302,2015 · 22 pages, 2 figures, v2: typos corrected, v3: references added, published version

openalex publication_date 2015/04/15 · arxiv created 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Toroidal domain walls as Hopfions
• Instantons in the Higgs phase
• A model unified field equation
• Field- and temperature-induced topological phase transitions in the three-dimensionalN-component London superconductor
• Vortices with Fractional Flux in Two-Gap Superconductors and in Extended Faddeev Model
• Non-Abelian vortices and monopoles in SO(N) theories
• Semisuperfluid strings in high density QCD
• Deconfinement of vortices with continuously variable fractions of the unit flux quanta in two-gap superconductors
• Domain lines as fractional strings
• Lagrangian formulation of symmetric space sine-Gordon models

Cited by

• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Field theoretical model of multilayered Josephson junction and dynamics of Josephson vortices
• Non-Abelian sine-Gordon solitons: Correspondence betweenSU(N)Skyrmions andCPN−1lumps