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Related papers: Quantum Energies of Strings in a 2+1 Dimensional G…

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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, 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

We develop a method to compute the fermion contribution to the vacuum polarization energy of string--like configurations in a non--abelian gauge theory. This calculation has been hampered previously by a number of technical obstacles. We…

High Energy Physics - Theory · Physics 2014-11-20 H. Weigel , M. Quandt , N. Graham , O. Schroeder

We corroborate the previously applied spectral approach to compute the vacuum polarization energy of string configurations in models similar to the standard model of particle physics. The central observation underlying this corroboration is…

High Energy Physics - Theory · Physics 2016-08-31 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

We improve on a method to compute the fermion contribution to the vacuum polarization energy of string-like configurations in a non-Abelian gauge theory. We establish the new method by numerically verifying the invariance under (a subset…

High Energy Physics - Theory · Physics 2014-11-20 H. Weigel , M. Quandt

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

We find static solitons stabilized by quantum corrections in a (1+1)-dimensional model with a scalar field chirally coupled to fermions. This model does not support classical solitons. We compute the renormalized energy functional including…

High Energy Physics - Theory · Physics 2009-10-31 E. Farhi , N. Graham , R. L. Jaffe , H. Weigel

We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription…

High Energy Physics - Theory · Physics 2015-06-26 P. Di Vecchia , A. Lerda , L. Magnea , R. Marotta , R. Russo

We simulate the formation and the evolution of global strings taking into account the expansion of the universe and the concomitant change of the effective potential, that is, the change from the restoration stage of the global {\it…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masahide Yamaguchi , Jun'ichi Yokoyama , M. Kawasaki

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 calculate the effects of quantum fluctuations of a scalar field in the "ballpoint pen" cosmic string geometry. Using the approach to renormalization established previously for the energy density in two space dimensions, we extend those…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Noah Graham

We consider the dynamics of confined strings embedded in a gapless four-dimensional theory. To this end, we examine finite-tension string-like solutions to the equations of motion of the $\mathbb{C}\mathbb{P}^1$ non-linear sigma model. We…

High Energy Physics - Theory · Physics 2026-02-23 Jeremias Aguilera Damia , Giovanni Galati , Giovanni Rizi

For field theories in one time and one space dimensions we propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti--symmetric channels.…

High Energy Physics - Theory · Physics 2017-01-13 H. Weigel

For renormalizable models a method is presented to unambiguously compute the energy that is carried by localized field configurations (solitons). A variational approach for the total energy is utilized to search for soliton configurations.…

High Energy Physics - Theory · Physics 2017-08-23 H. Weigel

In this paper we investigate vacuum polarization effects associated with charged massive quantum fermionic fields in a six-dimensional cosmic string space-times considering the presence of a magnetic flux running along its core. We have…

High Energy Physics - Theory · Physics 2014-11-18 J. Spinelly , E. R. Bezerra de Mello

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

We search for static solitons stabilized by heavy fermions in a 3+1 dimensional Yukawa model. We compute the renormalized energy functional, including the exact one-loop quantum corrections, and perform a variational search for…

High Energy Physics - Theory · Physics 2009-11-07 E. Farhi , N. Graham , R. L. Jaffe , H. Weigel

In many models in condensed matter physics and high-energy physics, one finds inhomogeneous phases at high density and low temperature. These phases are characterized by a spatially dependent condensate or order parameter. A proper…

High Energy Physics - Phenomenology · Physics 2017-08-03 Prabal Adhikari , Jens O. Andersen
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