New Primordial-Magnetic-Field Limit from The Latest LIGO S5 data

Abstract

Since the energy momentum tensor of a magnetic field always contains a spin-2 component in its anisotropic stress, stochastic primordial magnetic field (PMF) in the early universe must generate stochastic gravitational wave (GW) background. This process will greatly affect the relic gravitational wave (RGW), which is one of major scientific goals of the laser interferometer GW detections. Recently, the fifth science (S5) run of laser interferometer gravitational-wave observatory (LIGO) gave a latest upper limit ${\Omega }_{GW}<6.9\times 10^{-6}$ on the RGW background. Utilizing this upper limit, we derive new PMF Limits: for a scale of galactic cluster $\lambda =1$ Mpc, the amplitude of PMF, that produced by the electroweak phase transition (EPT), has to be weaker than $B_{\lambda }\le 4\times 10^{-7}$ Gauss; for a scale of supercluster $\lambda =100$ Mpc, the amplitude of PMF has to be weaker than $B_{\lambda }\le 9\times 10^{-11}$ Gauss. In this manner, GW observation has potential to make interesting contributions to the study of primordial magnetic field.

17 pages, 3 figures, accepted for publication in PRD

References in corpus (25)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• An Upper Limit on the Stochastic Gravitational-Wave Background of Cosmological Origin
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• Cosmology with inhomogeneous magnetic fields
• Searching for a Stochastic Background of Gravitational Waves with LIGO
• Enhancing the tensor-to-scalar ratio in simple inflation
• Gravitational Radiation Generated by Cosmological Phase Transition Magnetic Fields
• Upper limit map of a background of gravitational waves
• Relic Gravitational Waves in the Accelerating Universe
• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
• Faraday Rotation Limits on a Primordial Magnetic Field from WMAP Five-Year Data
• Faraday rotation, stochastic magnetic fields and CMB maps
• Analytic spectrum of relic gravitational waves modified by neutrino free streaming and dark energy
• Alleviation of Cosmic Age Problem In Interacting Dark Energy Model
• An exact analytic spectrum of relic gravitational waves in an accelerating universe
• First Cross-Correlation Analysis of Interferometric and Resonant-Bar Gravitational-Wave Data for Stochastic Backgrounds
• Generic estimates for magnetic fields generated during inflation including Dirac-Born-Infeld theories
• The inflationary gravitational-wave background and measurements of the scalar spectral index
• 3-loop Yang-Mills Condensate Dark Energy Model And Its Cosmological Constraints
• Modifications by QCD transition and $e^{+}{e}^{-}$ annihilation on analytic spectrum of relic gravitational waves in accelerating universe
• CMB Temperature Polarization Correlation and Primordial Gravitational Waves
• Constraining primordial magnetic fields with CMB polarization experiments

Cited by in corpus (13)

• Dark Energy
• Holographic Dark Energy
• Magnetic fields in the Large-Scale Structure of the Universe
• The Search for a Primordial Magnetic Field
• Numerical simulations of the decay of primordial magnetic turbulence
• Evolution of inflation-generated magnetic field through phase transitions
• Symmetry restoration at finite temperature with weak magnetic fields
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Cosmic magnetization in curved and Lorentz violating space-times
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• A closer look at the cosmological implications of the $\Lambda$HDE model
• Neutrino Spin Flavor Precession and Leptogenesis