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The evolution of cosmic string networks is an interesting dynamical problem. The equations governing these networks are classical and fully specified, but the length scale at which cosmic string loops form has been uncertain to tens of…

Astrophysics · Physics 2009-06-23 Joseph Polchinski

We develop a "semi-parallel" simulation technique suggested by Pretorius and Lehner, in which the simulation spacetime volume is divided into a large number of small 4-volumes which have only initial and final surfaces. Thus there is no…

Computational Physics · Physics 2011-10-21 Jose J. Blanco-Pillado , Ken D. Olum , Benjamin Shlaer

The equation governing the time evolution of the number density of loops in a cosmic string network is a detailed balance determined by energy conservation. We solve this equation with the inclusion of the gravitational radiation effect…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jorge V. Rocha

Cosmic strings can be created in the early universe during symmetry-breaking phase transitions, such as might arise if the gauge structure of the standard model is extended by additional U(1) factors at high energies. Cosmic strings present…

High Energy Physics - Phenomenology · Physics 2009-10-29 Yanou Cui , David E. Morrissey

Numerical simulations of Nambu-Goto cosmic strings in an expanding universe show that the loop distribution relaxes to an universal configuration, the so-called scaling regime, which is of power law shape on large scales. Precise…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-13 Pierre Auclair , Christophe Ringeval , Mairi Sakellariadou , Daniele Steer

The existence of a scaling network of current-carrying cosmic strings in our Universe is expected to continuously create loops endowed with a conserved current during the cosmological expansion. These loops radiate gravitational waves and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-30 Pierre Auclair , Patrick Peter , Christophe Ringeval , Daniele Steer

We evolve the network of global strings in the matter-dominated universe by means of numerical simulations. The existence of the scaling solution is confirmed as in the radiation-dominated universe but the scaling parameter $\xi$ takes a…

High Energy Physics - Phenomenology · Physics 2009-12-30 Masahide Yamaguchi , Jun'ichi Yokoyama , M. Kawasaki

The gravitationally-driven evolution of cold dark matter dominates the formation of structure in the Universe over a wide range of length scales. While the longest scales can be treated by perturbation theory, a fully quantitative…

Astrophysics · Physics 2009-11-10 Katrin Heitmann , Paul M. Ricker , Michael S. Warren , Salman Habib

The mean spectrum and burst statistics of gravitational waves produced by a cosmological population of cosmic string loops are estimated using analytic approximations, calibrated with earlier simulations. Formulas are derived showing the…

Astrophysics · Physics 2009-11-11 Craig J. Hogan

We show that the existence of cosmic strings can be strongly constrained by the next generation of gravitational lensing surveys at radio frequencies. We focus on cosmic string loops, which simulations suggest would be far more numerous…

Astrophysics · Physics 2008-11-26 Katherine J. Mack , Daniel H. Wesley , Lindsay J. King

We report on a large scale numerical study of networks of semilocal cosmic strings in flat space in the parameter regime in which they are perturbatively stable. We find a population of segments with an exponential length distribution and…

Astrophysics · Physics 2008-11-26 A. Achucarro , P. Salmi , J. Urrestilla

We extend and develop our previous work on the evolution of a network of cosmic strings. The new treatment is based on an analysis of the probability distribution of the end-to-end distance of a randomly chosen segment of left-moving string…

High Energy Physics - Phenomenology · Physics 2016-09-01 Daren Austin , E. J. Copeland , T. W. B. Kibble

A network of cosmic strings would lead to gravitational waves which may be detected by pulsar timing or future interferometers. The details of the gravitational wave signal depend on the distribution of cosmic string loops, which are…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-25 Jose J. Blanco-Pillado , Ken D. Olum , Jeremy M. Wachter

We examine the scaling properties of an evolving network of strings in Minkowski spacetime and study the evolution of length scales in terms of a 3-scale model proposed by Austin, Copeland and Kibble (ACK). We find good qualitative and some…

Astrophysics · Physics 2008-11-26 Graham R. Vincent , Mark Hindmarsh , Mairi Sakellariadou

By means of N-body simulations, we study early structure formation in the presence of a scaling distribution of cosmic string loops. Cosmic string loops dominate the high redshift halo mass function while the fluctuations seeded by the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-12 Hao Jiao , Robert Brandenberger , Alexandre Refregier

Cosmic strings provide a radically different paradigm for the formation of structure to the prevailing inflationary one. They afford some extra technical complications: for example, the calculation of the power spectrum of matter and…

Astrophysics · Physics 2007-05-23 Mark Hindmarsh , Mairi Sakellariadou , Graham R. Vincent

We present results of new field-theoretic simulation of cosmological axion strings, which are eight times longer than previous ones. We have upgraded our simulation of physical strings in Hiramatsu et al. (2011) in terms of the number of…

High Energy Physics - Phenomenology · Physics 2019-12-06 Masahiro Kawasaki , Toyokazu Sekiguchi , Masahide Yamaguchi , Jun'ichi Yokoyama

We use our model of the small scale structure on cosmic strings to develop further the result of Siemens, Olum, and Vilenkin that the gravitational radiation length scale on cosmic strings is smaller than the previously assumed $\Gamma G\mu…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Joseph Polchinski , Jorge V. Rocha

We develop a model of string dynamics with back-reaction from both scaling and non-scaling loops taken into account. The evolution of a string network is described by the distribution functions of coherence segments and kinks. We derive two…

High Energy Physics - Theory · Physics 2010-11-19 Vitaly Vanchurin

When moduli roll in the early universe, all physical scales - including string tensions - simultaneously evolve. The dynamics of cosmic string loops with time-varying tension can produce cosmic string loop trackers in which most of the…

High Energy Physics - Phenomenology · Physics 2025-11-21 Joseph P. Conlon , Edmund J. Copeland , Edward Hardy , Noelia Sánchez González