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In this paper we investigate the non-Abelian cosmic string in de Sitter and anti-de Sitter spacetimes. In order to do that we construct the complete set of equations of motion considering the presence of a cosmological constant. By using…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

I report on recent numerical simulations of the simplest field theory with cosmic string solutions, the Abelian Higgs model. We find that random networks of string quickly converge to a scaling solution in which the network scale length…

High Energy Physics - Phenomenology · Physics 2016-10-26 Mark Hindmarsh

In this paper we study regular cosmic string solutions of the non-Abelian Higgs model coupled with the Einstein gravity. In order to do that, we constructed a set of coupled differential ordinary equation. Because there is no closed…

High Energy Physics - Theory · Physics 2015-07-08 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

We consider a local cosmic string described by the Abelian-Higgs model in the framework of scalar-tensor gravities. We find the metric of the cosmic string in the weak-field approximation. The propagation of particles and light is analysed…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Maria Emília X. Guimarães

Cosmic string solutions of the abelian Higgs model with conformal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and the differences with respect to the minimally coupled case are studied. An…

High Energy Physics - Theory · Physics 2009-10-31 Y. Verbin

We study the classical cosmic string solution in a theory with dynamical $U(1)$ symmetry breaking. We calculate the energy per unit length of the string and compare it to that obtained in a model with a fundamental Higgs. We find that the…

High Energy Physics - Phenomenology · Physics 2010-01-06 R. Brandenberger , T. Huang , K. Yang , X. Zhang

In this paper we analyze Abelian-Higgs strings in a phenomenological model that takes quantum effects in curved space-time into account. This model, first introduced by Rastall, cannot be derived from an action principle. We formulate…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Eugenio R. Bezerra de Mello , Julio C. Fabris , Betti Hartmann

We review various aspects of de Sitter spacetime in string theory: its status as an effective field theory spacetime solution, its relation to the vacuum energy problem in string theory, its (global) holographic definition in terms of two…

High Energy Physics - Theory · Physics 2023-08-30 Per Berglund , Tristan Hübsch , Djordje Minic

We have simulated large-amplitude standing waves on an Abelian-Higgs cosmic string in classical lattice field theory. The radiation rate falls exponentially with wavelength, as one would expect from the field profile around a gauge string.…

Astrophysics · Physics 2009-10-31 Ken D. Olum , J. J. Blanco-Pillado

We analyze numerically the behaviour of the solutions corresponding to an Abelian cosmic string taking into account an extension of the Starobinsky model, where the action of general relativity is replaced by $f(R) = R - 2\Lambda + \eta R^2…

General Relativity and Quantum Cosmology · Physics 2016-01-26 J. P. Morais Graça , V. B. Bezerra

In the Standard Model, the difference between the baryon number $B$ and the lepton number $L$ is conserved, which represents a symmetry that is global and exact, and therefore unnatural. We turn it into a naturally exact, local symmetry by…

High Energy Physics - Phenomenology · Physics 2025-08-21 José Antonio García-Hernández , Victor Muñoz-Vitelly , Wolfgang Bietenholz

We discuss cosmic Nielsen-Olesen strings in space-times endowed with a positive cosmological constant. For the cylindrically symmetric, static free cosmic string, we discuss the contribution of the cosmological constant to the angle…

General Relativity and Quantum Cosmology · Physics 2013-01-22 Sourav Bhattacharya , Amitabha Lahiri

It is shown that topologically stable cosmic strings can, in fact, appear to end or to break, even in theories without monopoles. This can occur whenever the spatial topology of the universe is nontrivial. For the case of Abelian-Higgs…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Douglas Eardley , Gary Horowitz , David Kastor , Jennie Traschen

We present results from the first simulations of networks of Type I Abelian Higgs cosmic strings to include both matter and radiation eras and Cosmic Microwave Background (CMB) constraints. In Type I strings, the string tension is a slowly…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 Mark Hindmarsh , Joanes Lizarraga , Jon Urrestilla , David Daverio , Martin Kunz

In General Relativity, cosmic strings are well known to produce a static, locally flat spacetime with a wedge removed. If the tension exceeds a critical value, the deficit angle becomes larger than $ 2\pi $, leading to a compact exterior…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Florian Niedermann , Robert Schneider

We investigate cosmic string networks in the Abelian Higgs model using data from a campaign of large-scale numerical simulations on lattices of up to $4096^3$ grid points. We observe scaling or self-similarity of the networks over a wide…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-22 Mark Hindmarsh , Joanes Lizarraga , Jon Urrestilla , David Daverio , Martin Kunz

We study the stability of superconducting strings in a U(1)_{local} x U(1)_{global} model coupled via a gauge field interaction term to U(1) Abelian-Higgs strings. The effect of the interaction on current stability is numerically…

High Energy Physics - Theory · Physics 2013-05-30 Alexandru Babeanu , Betti Hartmann

We present a detailed analysis of {\it excited} cosmic string solutions which possess superconducting currents. These currents can be excited inside the string core, and - if the condensate is large enough - can lead to the excitations of…

High Energy Physics - Theory · Physics 2018-01-03 Betti Hartmann , Florent Michel , Patrick Peter

We study the geodesic motion of test particles in the space-time of two Abelian-Higgs strings interacting via their magnetic fields. These bound states of cosmic strings constitute a field theoretical realization of p-q-strings which are…

High Energy Physics - Theory · Physics 2015-06-04 Betti Hartmann , Valeria Kagramanova

We explore the formation and the evolution of the string network in the Abelian Higgs model with two complex scalar fields. A special feature of the model is that it possesses a global $U(1)$ symmetry in addition to the $U(1)$ gauge…

High Energy Physics - Phenomenology · Physics 2020-03-18 Takashi Hiramatsu , Masahiro Ibe , Motoo Suzuki
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