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We show that the Lagrangian of a Nambu-Goto $p$-brane satisfies the identity $\mathcal{L}_{\rm [\it p \rm]}=T_{\rm [\it p \rm]}/(p+1)$, with $T_{\rm [\it p \rm]}$ denoting the trace of the corresponding energy-momentum tensor, independently…

General Relativity and Quantum Cosmology · Physics 2026-03-17 S. R. Pinto , P. P. Avelino

We study the evolution of fluctuations in a universe dominated by a scalar field coupled to the Gauss-Bonnet term. During the graceful exit, we found non-negligible enhancements of both curvature perturbation and gravitational wave in the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shinsuke Kawai , Jiro Soda

It has been found recently that propagators, e.g. the cross-correlation spectra of the cosmic fields with the initial density field, decay exponentially at large-k in an Eulerian description of the dynamics. We explore here similar…

Astrophysics · Physics 2008-11-26 Francis Bernardeau , Patrick Valageas

A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 H. Fort , E. Marino

In a recent paper, the NANOGrav collaboration studied new physics explanations of the observed pulsar timing residuals consistent with a stochastic gravitational wave background (SGWB), including cosmic strings in the Nambu-Goto (NG)…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-31 Jun'ya Kume , Mark Hindmarsh

We investigate the nonlinear evolution of cosmic morphologies of the large-scale structure by examining the Lagrangian dynamics of various tensors of a cosmic fluid element, including the velocity gradient tensor, the Hessian matrix of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Xin Wang , Alex Szalay

We discuss the problem of estimating the characteristic length scale $\xi_{\rm s}$, and hence the initial density, of a system of cosmic strings formed at a continuous, second-order phase transition in the early universe. In particular, we…

High Energy Physics - Phenomenology · Physics 2016-09-01 T. W. B. Kibble , Alexander Vilenkin

We examine the spectrum of gravitational radiation emitted by a network of cosmic strings, with emphasis on the observational constraints and the opportunities for detection. The analysis improves over past work, as we use a…

Astrophysics · Physics 2009-12-30 R. R. Caldwell , R. A. Battye , E. P. S. Shellard

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

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

We discuss marginal deformations of string vacua with Massive boson-fermion Degeneracy Symmetry (MSDS), in connection to the cosmological evolution of the Universe from an early non-geometrical era. In particular, we discuss recent results…

High Energy Physics - Theory · Physics 2015-05-20 Ioannis Florakis

We analytically derive the expected number density distribution of Nambu-Goto cosmic string loops at any redshift soon after the time of string formation to today. Our approach is based on the Polchinski-Rocha model of loop formation from…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-21 Larissa Lorenz , Christophe Ringeval , Mairi Sakellariadou

We study the production of cosmological axions in the standard scenario in which a global string network forms at the Peccei-Quinn phase transition. We make detailed calculations of the axions produced by string loops (a previously…

Astrophysics · Physics 2009-10-22 R. A. Battye , E. P. S. Shellard

We solve numerically the Boltzmann equation describing the evolution of a cosmic string network which contains only loops. In Minkowski space time the equilibrium solution predicted by statistical mechanics is recovered, and we prove that…

Astrophysics · Physics 2009-10-31 Joao Magueijo , Haavard Sandvik , Daniele Steer

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

We study string formation and dynamics in a scalar field theory with a global $U(1)$ symmetry. If a scalar field $\Phi$ is initially displaced from the minimum of a wine-bottle potential, even if uniformly over large spatial patches, small…

High Energy Physics - Phenomenology · Physics 2025-08-15 Michael A. Fedderke , Junwu Huang , Nils Siemonsen

Cosmic strings represent an attractive source of gravitational waves (GWs) from the early Universe. However, numerical computation of the GW signal from cosmic strings requires the evaluation of complicated integral and sum expressions,…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Kai Schmitz , Tobias Schroeder

We examine the effects of cosmic strings on structure formation and on the ionization history of the universe. While Gaussian perturbations from inflation are known to provide the dominant contribution to the large scale structure of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Benjamin Shlaer , Alexander Vilenkin , Abraham Loeb

Global cosmic strings are generically predicted in particle physics beyond the Standard Model, e.g., a post-inflationary global $U(1)$ symmetry breaking which may associate with axion-like dark matter. We demonstrate that although…

High Energy Physics - Phenomenology · Physics 2020-09-11 Chia-Feng Chang , Yanou Cui

We use the velocity-dependent one-scale model by Martins & Shellard to investigate the evolution of a GUT long cosmic string network in arbitrary Friedmann-Lemaitre models. Four representative models are used to show that in general there…

Astrophysics · Physics 2009-10-30 Carsten van de Bruck