Detailed Stability Analysis of Electroweak Strings

Abstract

We give a detailed stability analysis of the Z-string in the standard electroweak model. We identify the mode that determines the stability of the string and numerically map the region of parameter space where the string is stable. For ${\sin }^2{\theta }_W=0.23$, we find that the strings are unstable for a Higgs mass larger than 23GeV. Given the latest constraints on the Higgs mass from LEP, this shows that, if the standard electroweak model is realized in Nature, the existing vortex solutions are unstable.

18 pages plus one figure (not included but available upon request). To appear in Nuclear Physics B

References in corpus (2)

• Semilocal strings and monopoles
• Semilocal Defects

Cited by in corpus (79)

• How generic is cosmic string formation in SUSY GUTs
• Collider Searches for Long-Lived Particles Beyond the Standard Model
• Semi-superfluid strings in High Density QCD
• Electroweak String Configurations with Baryon Number
• Embedded Defects
• Zero Modes on Linked Strings
• Cosmic Strings and Electroweak Baryogenesis
• Core Phase Structure of Cosmic Strings and Monopoles
• Skyrmions and Semilocal Strings in Cosmology
• Pion and Eta Strings
• Non-Abelian strings and domain walls in two Higgs doublet models
• Varying Alpha and the Electroweak Model
• Can primordial magnetic fields seeded by electroweak strings cause an alignment of quasar axes on cosmological scales?
• Twisted Superconducting Semilocal Strings
• Color-magnetic flux tubes in quark matter cores of neutron stars
• Monopoles on strings
• Cinderella Strings
• Sphalerons, spectral flow, and anomalies
• Instabilities of Electroweak Strings
• The evolution and persistence of dumbbells
• Stability of Two Doublet Electroweak Strings
• Stabilization of the Electroweak Z String in the Early Universe
• The Dirac Sea Contribution To The Energy Of An Electroweak String
• Electroweak axion string and superconductivity
• Stability of an electroweak string with a fermion condensate
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Semilocal string formation in two dimensions
• Topological Defects with Non-Symmetric Core
• Superconducting Electroweak Strings
• A New Perspective on Electroweak Strings
• Electroweak Origin of Cosmological Magnetic Fields
• Existence of Double Vortex Solutions
• Topological Nambu monopole in two Higgs doublet models
• D-brane solitons and boojums in field theory and Bose-Einstein condensates
• New String Excitations in the Two-Higgs Standard Model
• Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
• Enlarging the parameter space of standard hybrid inflation
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Vortex Solutions in Two-Higgs-Doublet Systems
• Superconducting K strings in high density QCD
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Topological Defects in the Georgi-Machacek Model
• Perturbed Electroweak Strings and Fermion Zero Modes
• Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
• Vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications
• Bubble collisions in SU(2)xU(1) gauge theory and the production of non-topological strings
• Stabilisation of semilocal strings by dark scalar condensates
• Z Flux-Line Lattices and Self-Dual Equations in the Standard Model
• Fermions on the Electroweak String
• Vortices with scalar condensates in two-component Ginzburg-Landau systems
• Electroweak monopoles and magnetic dumbbells in grand unified theories
• Effect of pre-existing baryon inhomogeneities on the dynamics of quark-hadron transition
• Cosmic Electroweak Strings
• Coleman-Weinberg Abrikosov-Nielsen-Olesen strings
• Stable, Spinning Embedded Vortices
• Charged Particle Scattering from Electroweak and Semi-Local Strings
• Selection rules for splitting strings
• Effect of Quark Scatter on Baryogenesis by Electroweak Strings
• Instabilities of Twisted Strings
• Topological Incarnations of Electroweak Defects
• Brane Realization of Nambu Monopoles and Electroweak Strings
• Baryon Number Violating Transitions in String Backgrounds
• Band structure in classical field theory
• Stability Analysis of Superconducting Electroweak Vortices
• Stabilizing the Semilocal String with a Dilatonic Coupling
• Chaotic Hybrid Inflation with a Gauged B - L
• Winding Number Correlation Functions and Cosmic String Formation
• Stabilizing Textures in 3+1 Dimensions with Semilocality
• Finite Fermion Density Effects on the Electroweak String
• Stability of the embedded string in the $SU(N)\times U(1)$ Higgs model and its application
• Electroweak strings with dark scalar condensates and their (in)stability
• Stability of non-topological string in supersymmetric $SU(2)\times U(1)$ gauge theory
• Current-Carrying Zero Mode for the Nielsen-Olesen String
• Scattering from Electroweak Strings
• Neutrino zeromodes on electroweak strings in light of topological insulators
• On the formation of non-topological string networks
• Dilatonic Topological Defects in 3+1 Dimensions and their Embeddings
• Asymptotic Stability Analysis for $SU(n)$ Dark Monopoles
• The non-topological $Z^{\prime }$ string in the 331 model and its classical stability