Looking for Cosmological Alfven Waves in WMAP Data

Abstract

A primordial cosmological magnetic field induces and supports vorticity or Alfven waves, which in turn generate cosmic microwave background (CMB) anisotropies. A homogeneous primordial magnetic field with fixed direction induces correlations between the $a_{l-1,m}$ and $a_{l+1,m}$ multipole coefficients of the CMB temperature anisotropy field. We discuss the constraints that can be placed on the strength of such a primordial magnetic field using CMB anisotropy data from the WMAP experiment. We place 3 $\sigma$ upper limits on the strength of the magnetic field of $B<15$ nG for vector perturbation spectral index $n=-5$ and $B<1.7$ nG for $n=-7$.

14 pages, 3 figures, minor changes, references added, ApJ, in press

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• A Faraday Rotation Template for the Galactic Sky
• The evolution of primordial magnetic field since its generation
• A magnetized completion of the $\Lambda$CDM paradigm
• Instability of reconstruction of the low CMB multipoles
• Cosmological Alfvén waves in the recent CMB data, and the observational bound on the primordial vector perturbation
• Random-Walk Statistics and the Spherical Harmonic Representation of CMB Maps
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• Peculiarities of phases of the WMAP quadrupole
• Magnetized cosmological model with variable deceleration parameter
• Statistical anisotropy from inflationary magnetogenesis
• Unplugging the Universe: the neglected electromagnetic consequence of decoupling
• Alfven wave in higher dimensional space time