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We investigate an extension to the phase shift formalism for calculating one-loop determinants. This extension is motivated by requirements of the computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that seems to imply…

High Energy Physics - Theory · Physics 2008-11-26 O. Schroeder , N. Graham , M. Quandt , H. Weigel

We study classically unstable string type configurations and compute the renormalized vacuum polarization energies that arise from fermion fluctuations in a 2+1 dimensional analog of the standard model. We then search for a minimum of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , M. Quandt , O. Schroeder , H. Weigel

Z-strings in the Weinberg-Salam model including fermions are unstable for all values of the parameters. The cause of this instability is the fermion vacuum energy in the Z-string background. Z-strings with non-zero fermion densities,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shion Kono , Stephen Naculich

Z-strings in the Weinberg-Salam model including fermions are unstable for all values of the parameters. The cause of this instability is the fermion vacuum energy in the Z-string background. Z-strings with non-zero fermion densities,…

High Energy Physics - Phenomenology · Physics 2010-11-01 Stephen G. Naculich

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

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 construct a simple class of exact solutions of the electroweak theory including the naked $Z$--string and fermion fields. It consists in the $Z$--string configuration ($\phi,Z_\theta$), the {\it time} and $z$ components of the neutral…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. M. Moreno , D. H. Oaknin , M. Quirós

We provide a thorough exposition, including technical and numerical details, of previously published results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced…

High Energy Physics - Theory · Physics 2011-08-09 N. Graham , M. Quandt , H. Weigel

In the standard model, stabilization of a classically unstable cosmic string may occur through the quantum fluctuations of a heavy fermion doublet. We review numerical results from a semiclassical expansion in a reduced version of the…

High Energy Physics - Theory · Physics 2015-08-12 H. Weigel , M. Quandt , N. Graham

We provide a thorough exposition of recent results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced version of the standard model. The study combines the…

High Energy Physics - Theory · Physics 2012-06-18 H. Weigel , M. Quandt , N. Graham

We compute fermion quantum corrections to the energy of cosmic strings. A number of rather technical tools is needed to formulate this correction and we employ isospin and gauge invariance to verify consistency of these tools. These…

High Energy Physics - Theory · Physics 2017-04-03 H. Weigel

Within a slightly simplified version of the electroweak standard model we investigate the stabilization of cosmic strings by fermion quantum fluctuations. Previous studies of quantum energies considered variants of the Nielsen-Olesen…

High Energy Physics - Theory · Physics 2025-05-27 M. Quandt , N. Graham , H. Weigel

The effect of perturbations of electroweak strings on quark zero modes is studied in 2+1 and 3+1 dimensions. As first discovered by Naculich, it is found that the bosonic perturbations that destabilize the string give a mass to the zero…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hong Liu , Tanmay Vachaspati

I describe the string solutions in the standard electroweak model and argue that they may be stabilized by quark, lepton or other bound states. I then reinterpret the sphaleron in terms of electroweak strings and show that it can be viewed…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Vachaspati

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

In the minimal standard model we discuss stability of the Z-string configuration, which includes the zero mode connected with the broken gauge symmetry. The zero mode induces charge and current on the string and gives backreaction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. B. Svetovoy

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 study the quantum stabilization of a cosmic string by a heavy fermion doublet in a reduced version of the standard model. We show that charged strings, obtained by populating fermionic bound state levels, become stable if the…

High Energy Physics - Theory · Physics 2011-03-23 H. Weigel , M. Quandt , N. Graham

The standard electroweak theory admits a string solution, the Z string, in which only the electrically neutral Higgs fields are excited. This solution is unstable at zero temperature: Z strings decay by exciting charged Higgs modes. In the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michiyasu Nagasawa , Robert Brandenberger

We consider the 1-loop effective potential in type I string theory compactified on a torus, with supersymmetry broken by the Scherk-Schwarz mechanism. At fixed supersymmetry breaking scale M, and up to exponentially suppressed terms, we…

High Energy Physics - Theory · Physics 2020-12-30 Herve Partouche
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