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We describe and numerically test the velocity-dependent one-scale (VOS) string evolution model, a simple analytic approach describing a string network with the averaged correlation length and velocity. We show that it accurately reproduces…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. J. A. P. Martins , J. N. Moore , E. P. S. Shellard

We discuss the formation of cosmic strings or macroscopic color flux tubes after the deconfinement/confinement phase transition in the pure Yang-Mills theory. Based on holographic dual descriptions, these cosmic strings can be interpreted…

High Energy Physics - Theory · Physics 2023-02-15 Masaki Yamada , Kazuya Yonekura

The canonical velocity-dependent one-scale (VOS) model for cosmic string evolution must be calibrated using high resolution numerical simulations, We exploit our state of the art graphics processing unit accelerated implementation of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 J. R. C. C. C. Correia , C. J. A. P. Martins

We study the cosmic microwave background temperature and polarisation spectra sourced by multi-tension cosmic superstring networks. First we obtain solutions for the characteristic length scales and velocities associated with the evolution…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Alkistis Pourtsidou , Anastasios Avgoustidis , Edmund J. Copeland , Levon Pogosian , Daniele A. Steer

We compute the power spectrum of the stochastic gravitational wave background generated by cosmic string networks described by the Velocity-Dependent One-Scale (VOS) model, for a wide range of macroscopic and microscopic parameters. The VOS…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-09 L. Sousa , P. P. Avelino

We develop an analytic model to quantitatively describe the evolution of superconducting cosmic string networks. Specifically, we extend the velocity-dependent one-scale (VOS) model to incorporate arbitrary currents and charges on cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-03 C. J. A. P. Martins , Patrick Peter , I. Yu. Rybak , E. P. S. Shellard

Cosmic (super)strings offer promising ways to test ideas about the early universe and physics at high energies. While in field theory constructions their tension is usually assumed to be constant (or at most slowly-varying), this is often…

High Energy Physics - Phenomenology · Physics 2025-05-08 Filippo Revello , Gonzalo Villa

Understanding the evolution and cosmological consequences of topological defect networks requires a combination of analytic modeling and numerical simulations. The canonical analytic model for defect network evolution is the…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 J. R. C. C. C. Correia , C. J. A. P. Martins

We discuss the formation of cosmic strings or macroscopic color flux tubes at the phase transition from the deconfinement to confinement phase in pure Yang-Mills (YM) theory, such as SU($N$), Sp($N$), SO($N$), and Spin($N$), based on the…

High Energy Physics - Theory · Physics 2023-01-04 Masaki Yamada , Kazuya Yonekura

Cosmic strings are topological defects arising in a variety of cosmological scenarios, as the Universe undergoes symmetry-breaking phase transitions, whose discovery would offer valuable insight into the high-energy physics that shaped the…

High Energy Physics - Phenomenology · Physics 2026-02-27 P. B. Barbosa , C. J. A. P. Martins

The canonical velocity-dependent one-scale (VOS) model for cosmic string evolution contains a number of free parameters which cannot be obtained ab initio. Therefore it must be calibrated using high resolution numerical simulations. We…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 J. R. C. C. C. Correia , C. J. A. P. Martins

We obtain the equations of motion for cosmic strings in extensions of the 3+1 FRW model with extra dimensions. From these we derive a generalisation of the Velocity-dependent One-Scale (VOS) model for cosmic string network evolution which…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Avgoustidis , E. P. S. Shellard

Recent developments in string inspired models of inflation suggest that D-strings are formed at the end of inflation. Within the supergravity model of D-strings there are 2(n-1) chiral fermion zero modes for a D-string of winding n. Using…

High Energy Physics - Theory · Physics 2008-11-26 Ph. Brax , C. van de Bruck , A. C. Davis , Stephen C. Davis

Recent work suggests that fundamental and Dirichlet strings, and their (p,q) bound states, may be observed as cosmic strings. The evolution of cosmic string networks, and therefore their observational signals, depends on what happens when…

High Energy Physics - Theory · Physics 2009-11-10 Mark G. Jackson , Nicholas T. Jones , Joseph Polchinski

For vortex strings in the Abelian Higgs model and D-strings in superstring theory, both of which can be regarded as cosmic strings, we give analytical study of reconnection (recombination, inter-commutation) when they collide, by using…

High Energy Physics - Theory · Physics 2009-11-11 Amihay Hanany , Koji Hashimoto

Cosmic string networks form during cosmological phase transitions as a consequence of the Kibble mechanism. The evolution of the simplest networks is accurately described by the canonical Velocity Dependent One-Scale (VOS) model. However,…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-18 A. R. R. Almeida , C. J. A. P. Martins

We use the Velocity-dependent One Scale Model for topological defect evolution to explore and classify the possible scaling solutions for string networks with time-varying tension, in cosmological and non-cosmological settings and under two…

High Energy Physics - Phenomenology · Physics 2026-02-24 C. S. C. M. Coelho , A. -L. Y. Gschrey , C. J. A. P. Martins

We study the approach to scaling in axion string networks in the radiation era, through measuring the root-mean-square velocity $v$ as well as the scaled mean string separation $x$. We find good evidence for a fixed point in the phase-space…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-02 Mark Hindmarsh , Joanes Lizarraga , Asier Lopez-Eiguren , Jon Urrestilla

We develop a semi-analytical model to describe the cosmological evolution of networks of cosmic strings with small-scale structure, by extending the velocity-dependent one-scale model to include an additional lengthscale describing the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Teresa O. Miranda , Lara Sousa

We fully classify the phenomenology of gravitational wave emission from scaling cosmic string networks with varying tension and compute the spectral indices of the resulting stochastic backgrounds. In string compactifications, periods of…

High Energy Physics - Theory · Physics 2026-01-19 Luca Brunelli , Filippo Revello , Gonzalo Villa
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