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We study a semi-local Abelian Higgs sigma model with $\mathbb{CP}^2$-valued scalar fields coupled to gravity. We establish the conditions needed for self-duality in this system and obtain cosmic strings, both of self-dual character and out…

High Energy Physics - Theory · Physics 2020-12-30 A. Alonso-Izquierdo , W. García Fuertes , J. Mateos Guilarte

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

The existence of a scaling evolution for cosmic string loops in an expanding universe is demonstrated for the first time by means of numerical simulations. In contrast with what is usually assumed, this result does not rely on any…

Astrophysics · Physics 2009-11-13 Christophe Ringeval , Mairi Sakellariadou , Francois Bouchet

We determine the distribution of cosmic string loops directly from simulations, rather than determining the loop production function and inferring the loop distribution from that. For a wide range of loop lengths, the results agree well…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Jose J. Blanco-Pillado , Ken D. Olum

Cosmic strings are a common prediction in many grand unified theories and a promising source of stochastic gravitational waves (GWs) from the early Universe. In this paper, we point out that the GW signal from cosmic strings produced at a…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Kai Schmitz , Tobias Schröder

We analyze all individual cosmic strings of various lengths in a large ensemble of the global cosmic string networks in the post-inflationary scenario, obtained from numerical simulations on a discrete lattice with $N^3 = 4096^3$. A strong…

High Energy Physics - Phenomenology · Physics 2025-09-19 Heejoo Kim , Minho Son

The discovery of the Higgs boson at the LHC supports the hypothesis that the Standard Model provides an effective parameterisation of all subatomic experimental data up to the Planck scale. String theory, which provides a viable…

High Energy Physics - Theory · Physics 2014-05-29 P. Athanasopoulos , A. E. Faraggi , V. M. Mehta

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

Within the (dual) Abelian Higgs model, confining strings do not disappear at small distances but rather become short strings. In compact 3D electrodynamics, as we argue here, the confining strings are also manifested at small distances in…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

Gauge theories form the foundation of the Standard Model of particle physics. These theories can exhibit confinement, where charged particles only occur in bound states, connected by flux strings whose energy grows linearly with separation.…

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

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 consider the monopole-antimonopole static potential in the confining phase of the Abelian Higgs model and in particular the corrections to the Coulomb-like potential at small distances r. By minimizing numerically the classical energy…

High Energy Physics - Theory · Physics 2009-10-31 F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

In real-time lattice simulations of cosmic strings in the Abelian Higgs model, the broken translational invariance introduces lattice artefacts; relativistic strings therefore decelerate and radiate. We introduce two different methods to…

High Energy Physics - Lattice · Physics 2020-04-16 Mark Hindmarsh , Kari Rummukainen , Tuomas V. I. Tenkanen , David J. Weir

When gauged cosmic strings form in a symmetry-breaking phase transition, the gauge field configuration at the time becomes imprinted in the spatial string distribution by the flux trapping mechanism. It is shown that quantum and thermal…

Astrophysics · Physics 2009-09-02 Arttu Rajantie

Lattice-based string formation algorithms can, at least in principle, be reduced to the study of the statistics of the corresponding aperiodic random walk. Since in three or more dimensions such walks are transient this approach necessarily…

High Energy Physics - Phenomenology · Physics 2009-10-28 Julian Borrill

We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase.…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov , M. A. Zubkov

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

We numerically study string production by evolving classical Abelian-Higgs gauge field wavepackets. Initial conditions are constructed for the propagation of a single wavepacket and for the collision of two wavepackets. We identify regions…

High Energy Physics - Theory · Physics 2019-05-15 Ayush Saurabh , Tanmay Vachaspati

We study the Z(2) lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop…

High Energy Physics - Lattice · Physics 2009-02-07 Michele Caselle , Martin Hasenbusch , Marco Panero