Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling

Abstract

We present a weak-coupling Yang--Mills model supporting non-Abelian magnetic flux tubes and non-Abelian confined magnetic monopoles. In the dual description the magnetic flux tubes are prototypes of the QCD strings. Dualizing the confined magnetic monopoles we get gluelumps which convert a "QCD string" in the excited state to that in the ground state. Introducing a mass parameter m we discover a phase transition between the Abelian and non-Abelian confinement at a critical value m=m_* of order of Lambda. Underlying dynamics are governed by a Z_N symmetry inherent to the model under consideration. At m>m_* the Z_N symmetry is spontaneously broken, resulting in N degenerate Z_N (Abelian) strings. At m<m_* the Z_N symmetry is restored, the degeneracy is lifted, and the strings become non-Abelian. We calculate tensions of the non-Abelian strings, as well as the decay rates of the metastable strings, at N >> 1.

Reference [45] corrected. Final version, to appear in Phys. Rev. D

References in corpus (3)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Non-Abelian Vortices in N=1* Gauge Theory
• Nonabelian Monopoles

Cited by in corpus (127)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Moduli Space of Non-Abelian Vortices
• Quantum Vortex Strings: A Review
• Non-Abelian Vortices of Higher Winding Numbers
• Vortices and Other Topological Solitons in Dense Quark Matter
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Instabilities of Non-Abelian Vortices in Dense QCD
• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
• Reconnection of Non-Abelian Cosmic Strings
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• Heterotic Vortex Strings
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Webs of Walls
• Heterotic Flux Tubes in N=2 SQCD with N=1 Preserving Deformations
• Non-Abelian Flux Tubes in SQCD: Supersizing World-Sheet Supersymmetry
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Large-N Solution of the Heterotic N=(0,2) Two-Dimensional CP(N-1) Model
• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• Simple Models with Non-Abelian Moduli on Topological Defects
• Non-Abelian vortices and monopoles in SO(N) theories
• Intersecting Solitons, Amoeba and Tropical Geometry
• Non-Abelian strings and domain walls in two Higgs doublet models
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Fractional Vortices and Lumps
• Non-Abelian Chern-Simons Vortices
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Magnetic strings in Lattice QCD as Nonabelian Vortices
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Confined Magnetic Monopoles in Dense QCD
• Effective Action of Domain Wall Networks
• The Quantum Dynamics of Heterotic Vortex Strings
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• Multiple Layer Structure of Non-Abelian Vortex
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• The Dynamics of Chern-Simons Vortices
• Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation
• Superconformal Vortex Strings
• The Higgs and Coulomb/Confining Phases in "Twisted-Mass" Deformed CP(N-1) Model
• Static Interactions of non-Abelian Vortices
• On Monopoles and Domain Walls
• 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Confinement in N=1 SQCD: One Step Beyond Seiberg's Duality
• Group Theory of Non-Abelian Vortices
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Manifestations of magnetic vortices in equation of state of Yang-Mills plasma
• Non-Abelian String of a Finite Length
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• On the Stability of Non-Abelian Semi-local Vortices
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
• Effective field theories on solitons of generic shapes
• Description of the Heterotic String Solutions in U(N) SQCD
• Confinement in Yang--Mills: Elements of a Big Picture
• Non-Abelian monopole-vortex complex
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions
• Topological Defects in the Georgi-Machacek Model
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Non-Abelian Strings and the Luscher Term
• 't Hooft-Polyakov Monopoles with Non-Abelian Moduli
• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• Non-Abelian Vortices without Dynamical Abelianization
• Remarks on Decay of Defects with Internal Degrees of Freedom
• $k$-Strings with exact Casimir law and Abelian-like profiles
• Crossover between Abelian and non-Abelian confinement in N=2 supersymmetric QCD
• Dyonic Non-Abelian Vortices
• Nonabelian Strings and Axion
• Non-Abelian Vortices on the Torus
• Nonabelian strings in a dense matter
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Condensates and instanton - torus knot duality. Hidden Physics at UV scale
• Confinement and duality in supersymmetric gauge theories
• Duality and confinement in SO(N) gauge theories
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Non-Abelian strings in N=1 supersymmetric QCD
• Aharonov-Bohm defects
• QCD String as Vortex String in Seiberg-Dual Theory
• Preon Model and Family Replicated E_6 Unification
• Quantum Phases of a Vortex String
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models
• Coloured loops in 4D and their effective field representation
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Are Preons Dyons? Naturalness of Three Generations
• The CP(N-1) model on a Disc and Decay of a Non-Abelian String
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• Study of Gribov Copies in the Yang-Mills ensemble
• Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass
• Description of the Heterotic String Solutions in the M Model
• Center vortices as rigid strings
• Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model
• Effective Action of Non-Abelian Monopole-Vortex Complex
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Heterotic Non-Abelian String of a Finite Length
• Monopole-vortex complex in a theta vacuum
• Non-Abelian vortex lattices
• SQCD, Superconducting Gaps and Cyclic RG Flows
• On instability of ground states in 2D CP(N-1) and O(N) models at large N
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• Strings in Yang-Mills-Higgs theory coupled to gravity
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• BPS Boojums in N=2 supersymmetric gauge theories I
• Local and Semi-local Vortices in Yang-Mills-Chern-Simons model
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• CP(N) model on regions with boundary
• Grassmannian and Flag sigma models on interval: phase structure and L-dependence
• Some comments about emission channels of non abelian vortices
• Non-Abelian Vortices with a Twist
• BPS Boojums in N=2 supersymmetric gauge theories II
• Deformation of the CP(1) model leading to fixed size solitons in 2+1 dimensions
• Low energy dynamics of gapless and quasi-gapless modes of vortices in superfluid ${}^3$He-B
• Making supersymmetric connected N =(0,2) Sigma Models
• Gapless excitations of axially symmetric vortices in systems with tensorial order parameter
• Confinement, NonAbelian monopoles, and 2D CP(N-1) model on the worldsheet of finite-length strings
• Mass deformed world-sheet action of semi-local vortices
• Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model
• Dyons near the Planck scale
• Dynamics of non-Abelian strings in supersymmetric gauge theories
• Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED
• Index Theorem for non-Supersymmetric Fermions Coupled to a non-Abelian String and Electric Charge Quantization