2014
DOI: 10.1103/physrevd.89.043523
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Primordial magnetic field limits from the CMB trispectrum: Scalar modes and Planck constraints

Abstract: Cosmic magnetic fields are observed to be coherent on large scales and could have a primordial origin. NonGaussian signals in the cosmic microwave background (CMB) are generated by primordial magnetic fields as the magnetic stresses and temperature anisotropy they induce depend quadratically on the magnetic field. We compute the CMB scalar trispectrum on large angular scales, for nearly scale-invariant magnetic fields, sourced via the Sachs-Wolfe effect. The trispectra induced by magnetic energy density and by… Show more

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Cited by 53 publications
(54 citation statements)
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“…This is because magnetic forcing (as described by the magnetic energy momentum tensor) is quadratic in the magnetic fields and therefore the resulting fluctuations are non-Gaussian even for Gaussian fields 10 (Brown & Crittenden 2005). There are already published theoretical studies of the passive-mode bispectra (Trivedi et al 2010;Shiraishi et al 2011Shiraishi et al , 2012Shiraishi 2013), as well as studies of the compensated-mode bispectra (Seshadri & Subramanian 2009;Caprini et al 2009;Cai et al 2010;Shiraishi et al 2010;Kahniashvili & Lavrelashvili 2010) and of trispectra (Trivedi et al 2012(Trivedi et al , 2014. This illustrates that it is possible to use CMB non-Gaussianities to constrain the PMF amplitude for different generation mechanisms.…”
Section: Magnetically-induced Non-gaussianitiesmentioning
confidence: 96%
“…This is because magnetic forcing (as described by the magnetic energy momentum tensor) is quadratic in the magnetic fields and therefore the resulting fluctuations are non-Gaussian even for Gaussian fields 10 (Brown & Crittenden 2005). There are already published theoretical studies of the passive-mode bispectra (Trivedi et al 2010;Shiraishi et al 2011Shiraishi et al , 2012Shiraishi 2013), as well as studies of the compensated-mode bispectra (Seshadri & Subramanian 2009;Caprini et al 2009;Cai et al 2010;Shiraishi et al 2010;Kahniashvili & Lavrelashvili 2010) and of trispectra (Trivedi et al 2012(Trivedi et al , 2014. This illustrates that it is possible to use CMB non-Gaussianities to constrain the PMF amplitude for different generation mechanisms.…”
Section: Magnetically-induced Non-gaussianitiesmentioning
confidence: 96%
“…They have a strength of the order of few µG at a coherent length scale of a few tens of kpc for clusters of galaxies and a few kpc for galaxies [21,22]. The strength of these magnetic fields is constrained from the structure formation, big bang nucleosynthesis (BBN) and temperature anisotropies and polarization of cosmic microwave background (CMB) [23,24]. Anisotropy generated by homogeneous magnetic fields, whose maximal amplitude measured by PLANCK today is B 0 ≤ 4.4 nG at a comoving scale of 1 Mpc [25].…”
Section: Introductionmentioning
confidence: 99%
“…Recent results from the PLANCK collaboration have put an upper limit on the strength of a primordial field at the surface of the last scattering of the order of B0 0.55 − 5.6nG (Ade et al 2015). The additional analysis of non-Gaussianity in the Cosmic Microwave Background have further suggested slightly lower upper limits, in the range B0 0.05 − 0.6nG (Trivedi et al 2014). These limits translate into a slightly lower limit on the present-day magnetisation of voids in absence of other sources of magnetisation, B void ≈ B0(ρv/ ρ ) 2/3 (where ρv is the gas density in voids and ρ is the average gas density of the Universe).…”
Section: Introductionmentioning
confidence: 99%