Interactions of Non-Abelian Global Strings

Abstract

Non-Abelian global strings are expected to form during the chiral phase transition. They have orientational zero modes in the internal space, associated with the vector-like symmetry SU(N)_{L+R} broken in the presence of strings. The interaction among two parallel non-Abelian global strings is derived for general relative orientational zero modes, giving a non-Abelian generalization of the Magnus force. It is shown that when the orientations of the strings are the same, the repulsive force reaches the maximum, whereas when the relative orientation becomes the maximum, no force exists between the strings. For the Abelian case we find a finite volume correction to the known result. The marginal instability of the previously known Abelian eta' strings is discussed.

12 pages, 2 figures, a brief discussion on stability added, published version

References in corpus (31)

• Cosmic strings
• Vortices, Instantons and Branes
• Semilocal and Electroweak Strings
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• How generic is cosmic string formation in SUSY GUTs
• Solitons in the Higgs phase -- the moduli matrix approach --
• Moduli Space of Non-Abelian Vortices
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Vortices of Higher Winding Numbers
• Semi-superfluid strings in High Density QCD
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• On the moduli space of semilocal strings and lumps
• Universal Reconnection of Non-Abelian Cosmic Strings
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• Which Chiral Symmetry is Restored in High Temperature QCD?
• Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model
• Topological String Defect Formation During the Chiral Phase Transition
• Cosmic strings reborn?
• Anomalous Chiral Symmetry Breaking above the QCD Phase Transition
• Statistical Mechanics of Vortices from D-branes and T-duality
• Pion and Eta Strings
• Anomalous Global Strings and Primordial Magnetic Fields
• Non-Abelian Global Strings at Chiral Phase Transition
• Non-abelian Topological Strings and Metastable States in Linear Sigma Model
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Nontopological Global Field Dynamics
• U(1) Problem at Finite Temperature

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• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Dynamics of global and local vortices with orientational moduli
• Static Interactions of U(N) non-Abelian Vortices
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections
• Vortex structure in superfluid color-flavor locked quark matter
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
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• SM gauge fields localized on non-Abelian vortices in 6 dimensions