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We show that the electroweak $Z-$string can be stabilized by the presence of bound states of a complex scalar field. We argue that fermions coupled to the scalar field of the string can also make the string stable and discuss the physical…

High Energy Physics - Phenomenology · Physics 2009-10-22 Tanmay Vachaspati , Richard Watkins

The vortex solution (Z-string) of the electroweak interactions can be interpreted as the 2-dimensional sphaleron at the top of a non-contractible sphere. The same holds for another type of solution, the W-string.

High Energy Physics - Phenomenology · Physics 2009-10-28 F. R. Klinkhamer , P. Olesen

We describe electroweak strings and their ability to carry Chern-Simons number. Certain string configurations, for any $\theta_W$, carry Chern-Simons number equal to that of the sphaleron and we conjecture that such strings are ``extended…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tanmay Vachaspati

We give a prescription for embedding classical solutions and, in particular, topological defects in field theories which are invariant under symmetry groups that are not necessarily simple. After providing examples of embedded defects in…

High Energy Physics - Theory · Physics 2010-11-01 Manuel Barriola , Tanmay Vachaspati , Martin Bucher

In the context of electroweak strings, the baryon number anomaly equation may be reinterpreted as a conservation law for baryon number minus helicity. Since the helicity is a sum of the link and twist numbers, linked or twisted loops of…

High Energy Physics - Phenomenology · Physics 2009-09-25 Tanmay Vachaspati , George B. Field

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…

High Energy Physics - Phenomenology · Physics 2009-10-22 Margaret James , Leandros Perivolaropoulos , Tanmay Vachaspati

We show that the sphaleron energy which identifies with the (instanton) potential barrier for B-violation is reduced in the presence (background) of an electroweak Z-string. We also show that for large enough Higgs coupling, $\lambda$, the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Vikram Soni

We review a class of non-topological defects in the standard electroweak model, and their implications. Starting with the semilocal string, which provides a counterexample to many well known properties of topological vortices, we discuss…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ana Achucarro , Tanmay Vachaspati

We show that the Z-strings of the standard electroweak theory can be stabilized by strong external magnetic fields, provided that $\beta^{1/2} \equiv M_H/M_Z\leq 1$, where $M_H$ and $M_Z$ are the Higgs and Z masses. The magnetic fields…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jaume Garriga , Xavi Montes

I report on a critical analysis of the scenario of electroweak baryogenesis mediated by nonsuperconducting cosmic strings. This mechanism relies upon electroweak symmetry restoration in a region around cosmic strings, where sphalerons would…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Espinosa

We investigate the stability of the electroweak Z-string at high temperatures. Our results show that while finite temperature corrections can improve the stability of the Z-string, their effect is not strong enough to stabilize the Z-string…

High Energy Physics - Phenomenology · Physics 2011-07-19 R. Holman , S. D. H. Hsu , T. Vachaspati , R. Watkins

We study the quantum energy of the Z-string in 2+1 dimensions using the phase shift formalism. Our main interest is the question of stability of a Z-string carrying a finite fermion number.

High Energy Physics - Theory · Physics 2009-11-11 Oliver Schroeder

The stability of "visible" electroweak-type cosmic strings is investigated in an extension of the Standard Model (SM) by a minimal dark sector, consisting of a U(1) gauge field, broken spontaneously by a scalar. The "visible" and dark…

High Energy Physics - Phenomenology · Physics 2020-07-15 Péter Forgács , Árpád Lukács

Classical solutions describing strings endowed with an electric charge and carrying a constant electromagnetic current are constructed within the bosonic sector of the Electroweak Theory. For any given ratio of the Higgs boson mass to W…

High Energy Physics - Theory · Physics 2008-11-26 Mikhail S. Volkov

We investigate the instabilities of low winding number electroweak strings using standard numerical techniques of linear algebra. For strings of unit winding we are able to confirm and extend existing calculations of the unstable region in…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Goodband , M. Hindmarsh

We show that the minimal supergravity extension of the standard model automatically contains topologically stable electroweak strings if the hidden sector is invariant under the exact R-symmetry. These defects appear in the form of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Dvali , Goran Senjanovi{ć}

The electroweak sphaleron is a static, unstable solution of the Standard Model classical field equations, representing the energy barrier between topologically distinct vacua. In this work, we present a comprehensive updated analysis of the…

High Energy Physics - Phenomenology · Physics 2025-05-12 Konstantin T. Matchev , Sarunas Verner

We discuss the stability of an electroweak string with axions in its core, which give to the configuration a quasi-topological property, and compare it with other modifications using instantons in the thin wall approximation.

High Energy Physics - Phenomenology · Physics 2015-06-25 Luis Masperi , Ariel Megevand

A solution of the standard electroweak theory with a single lepton family is constructed, consisting of a cosmic string and a fermion condensate within its core. The stability of this system to small perturbations is examined, and it is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael A. Earnshaw , Warren B. Perkins

We map the parameter space that leads to stable Z-vortices in the electroweak model. For $sin^2 \theta_W = 0.23$, we find that the strings are unstable for a Higgs mass larger than 24 GeV. Given the latest constraints on the Higgs mass from…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. James , L. Perivolaropoulos , T. Vachaspati
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