Scaling from gauge and scalar radiation in Abelian Higgs string networks

Abstract

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 range of scales, and estimate the asymptotic values of the mean string separation in horizon length units $\dot{\xi }$ and of the mean square string velocity ${\bar{v}}^2$ in the continuum and large time limits. The scaling occurs because the strings lose energy into classical radiation of the scalar and gauge fields of the Abelian Higgs model. We quantify the energy loss with a dimensionless radiative efficiency parameter, and show that it does not vary significantly with lattice spacing or string separation. This implies that the radiative energy loss underlying the scaling behaviour is not a lattice artefact, and justifies the extrapolation of measured network properties to large times for computations of cosmological perturbations. We also show that the core growth method, which increases the defect core width with time to extend the dynamic range of simulations, does not introduce significant systematic error. We compare $\dot{\xi }$ and ${\bar{v}}^2$ to values measured in simulations using the Nambu-Goto approximation, finding that the latter underestimate the mean string separation by about 25%, and overestimate ${\bar{v}}^2$ by about 10%. The scaling of the string separation implies that string loops decay by the emission of massive radiation within a Hubble time in field theory simulations, in contrast to the Nambu-Goto scenario which neglects this energy loss mechanism. String loops surviving for only one Hubble time emit much less gravitational radiation than in the Nambu-Goto scenario, and are consequently subject to much weaker gravitational wave constraints on their tension.

arXiv comment19 pages, 12 figures. v2: typos fixed and video link added https://vimeo.com/214671412 . v3: minor changes, matches published version

References in corpus (46)

• Planck 2015 results. XIII. Cosmological parameters
• Cosmic strings
• Cosmic String Production Towards the End of Brane Inflation
• Cosmic F- and D-strings
• The number of cosmic string loops
• Formation and evolution of cosmic D-strings
• Cosmological evolution of cosmic string loops
• Extending the Velocity-dependent One-scale String Evolution Model
• Large parallel cosmic string simulations: New results on loop production
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Fractal Properties and Small-scale Structure of Cosmic String Networks
• Numerical simulations of string networks in the Abelian-Higgs model
• Constraints on cosmic string tension imposed by the limit on the stochastic gravitational wave background from the European Pulsar Timing Array
• On the Evolution of Abelian-Higgs String Networks
• Cosmic microwave background anisotropy from wiggly strings
• Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects
• Abelian Higgs Cosmic Strings: Small Scale Structure and Loops
• Signals of Inflationary Models with Cosmic Strings
• CMB power spectra from cosmic strings: predictions for the Planck satellite and beyond
• Seeking String Theory in the Cosmos
• Analytic Study of Small Scale Structure on Cosmic Strings
• New CMB constraints for Abelian Higgs cosmic strings
• Cosmic String Structure at the Gravitational Radiation Scale
• Constraints on cosmic strings from the LIGO-Virgo gravitational-wave detectors
• A detail study of defect models for cosmic structure formation
• Scaling in Numerical Simulations of Domain Walls
• Solitonic D-branes and brane annihilation
• Extending the velocity-dependent one-scale model for domain walls
• Scaling Properties of Domain Wall Networks
• Radiation from cosmic string standing waves
• Improved Hamiltonian for Minkowski Yang-Mills Theory
• Cosmic string loop shapes
• Constraints on the Nambu-Goto cosmic string contribution to the CMB power spectrum in light of new temperature and polarisation data
• Correlations in Cosmic String Networks
• Effective action and motion of a cosmic string
• Energy-momentum correlations for Abelian Higgs cosmic strings
• CMB power spectrum of Nambu-Goto cosmic strings
• Big-Bang Nucleosynthesis and Gamma-Ray Constraints on Cosmic Strings with a large Higgs condensate
• New solutions for non-Abelian cosmic strings
• Type-I cosmic string network
• Semiclassical decay of topological defects
• Numerical simulations of necklaces in SU(2) gauge-Higgs field theory
• Fast Analytic Computation of Cosmic String Power Spectra
• Measuring Global Monopole Velocities, one by one
• Stretching and Kibble scaling regimes for Hubble-damped defect networks
• Improving cosmic string network simulations

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• Challenges and Opportunities of Gravitational Wave Searches at MHz to GHz Frequencies
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• Has NANOGrav found first evidence for cosmic strings?
• Stochastic gravitational wave background from smoothed cosmic string loops
• New limits on cosmic strings from gravitational wave observation
• Beyond the Standard Models with Cosmic Strings
• Dark Photon Dark Matter from a Network of Cosmic Strings
• Stochastic gravitational waves from cosmic string loops in scaling
• Decay of Cosmic String Loops Due to Particle Radiation
• The Science of the Einstein Telescope
• Gravitational Waves from Global Cosmic Strings and Cosmic Archaeology
• Gravitational waves and proton decay: complementary windows into GUTs
• How to simulate global cosmic strings with large string tension
• Approach to scaling in axion string networks
• Particle emission and gravitational radiation from cosmic strings: observational constraints
• Search for the Gravitational-wave Background from Cosmic Strings with the Parkes Pulsar Timing Array Second Data Release
• Cosmic String Loop Collapse in Full General Relativity
• Loop decay in Abelian-Higgs string networks
• GUT Physics in the era of the LHC
• Hubble-induced phase transitions on the lattice with applications to Ricci reheating
• Irreducible background of gravitational waves from a cosmic defect network: update and comparison of numerical techniques
• Signature of inflation in the stochastic gravitational wave background generated by cosmic string networks
• Searching for cosmic string induced stochastic gravitational wave background with the Parkes Pulsar Timing Array
• Using a Primordial Gravitational Wave Background to Illuminate New Physics
• Global cosmic string networks as a function of tension
• Early Structure Formation from Cosmic String Loops in Light of Early JWST Observations
• Extending and Calibrating the Velocity dependent One-Scale model for Cosmic Strings with One Thousand Field Theory Simulations
• Cosmic string loop production functions
• Lattice implementation of Abelian gauge theories with Chern-Simons number and an axion field
• Friction on ALP domain walls and gravitational waves
• Non-Abelian gauge preheating
• Multi-messenger constraints on Abelian-Higgs cosmic string networks
• Challenges and Opportunities of Gravitational Wave Searches above 10 kHz
• Intermediate Mass Black Hole Seeds from Cosmic String Loops
• Nambu-Goto Dynamics of Field Theory Cosmic String Loops
• Gravitational Waves from Current-Carrying Cosmic Strings
• Gravitational Wave Emission from a Cosmic String Loop, I: Global Case
• Type I Abelian Higgs strings: evolution and Cosmic Microwave Background constraints
• Massive black holes at high redshifts from superconducting cosmic strings
• A Bayesian Framework for Cosmic String Searches in CMB Maps
• Generalised velocity-dependent one-scale model for current-carrying strings
• Exciting the Domain Wall Soliton
• The dynamics of Domain Wall Strings
• Effects of biases in domain wall network evolution. II. Quantitative analysis
• The non-linear dynamics of axion inflation: a detailed lattice study
• Multi-Scale Pipeline for the Search of String-Induced CMB Anisotropies
• Survival of pq-superstrings in field theory simulations
• Semianalytic calculation of cosmic microwave background anisotropies from wiggly and superconducting cosmic strings
• A window for cosmic strings
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• Quantifying the effect of cooled initial conditions on cosmic string network evolution
• CMB anisotropies generated by cosmic string loops
• Gravitational wave and particle emission from a cosmic string loop: local case
• Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
• Cosmic String Detection with Tree-Based Machine Learning
• High resolution calibration of the cosmic strings velocity dependent one-scale model
• On the Possible Enhancement of the Global $21$-cm Signal at Reionization from the Decay of Cosmic String Cusps
• Abelian-Higgs Cosmic String Evolution with CUDA
• General purpose graphics-processing-unit implementation of cosmological domain wall network evolution
• Cosmic (super)strings with a time-varying tension
• Scaling in necklaces of monopoles and semipoles
• Fast Radio Bursts from the Decay of Cosmic String Cusps
• Multitension strings in high-resolution U(1)$\times$U(1) simulations
• Where is the ringdown? Reconstructing quasinormal modes from dispersive waves
• Gravitational waves from cosmic strings in Froggatt-Nielsen flavour models
• Inferring Cosmic String Tension through the Neural Network Prediction of String Locations in CMB Maps
• Signal of Cosmic Strings in Cross-Correlation of 21-cm Redshift and CMB Polarization Maps
• Ionization from Cosmic Strings at Cosmic Dawn
• Dynamical simulations of colliding superconducting strings
• Global 21cm Absorption Signal from Superconducting Cosmic Strings
• Testing hilltop supernatural inflation with gravitational waves
• The cusp properties of High Harmonic Loops
• High-harmonic cosmic strings and gravitational waves
• Breaking the Strings: the signatures of Cosmic String Loop Fragmentation
• Effect of high harmonic loops on gravitational wave bounds from cosmic strings
• Confronting SO(10) GUTs with proton decay and gravitational waves
• Spectrum of radiation from global strings and the relic axion density
• Internal Excitations of Global Vortices
• Metastable cosmic strings are broken at the start
• Testing Nambu-Goto approximation of cosmic string by lattice field simulations