2011
DOI: 10.1103/physrevd.84.043530
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Primordial magnetism in the CMB: Exact treatment of Faraday rotation and WMAP7 bounds

Abstract: Faraday rotation induced B-modes can provide a distinctive signature of primordial magnetic fields because of their characteristic frequency dependence and because they are only weakly damped on small scales, allowing them to dominate B-modes from other sources. By numerically solving the full CMB radiative transport equations, we study the B-mode power spectrum induced by stochastic magnetic fields that have significant power on scales smaller than the thickness of the last scattering surface. Constraints on … Show more

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Cited by 48 publications
(23 citation statements)
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“…Details on these models involving Faraday rotation can be found in Ref. [15]. For the experiments considered here, the EB estimator is the most sensitive, as will be demonstrated.…”
Section: The Cmb and Cosmic Birefringencementioning
confidence: 73%
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“…Details on these models involving Faraday rotation can be found in Ref. [15]. For the experiments considered here, the EB estimator is the most sensitive, as will be demonstrated.…”
Section: The Cmb and Cosmic Birefringencementioning
confidence: 73%
“…For a given multipole L, the noise level sets the minimum detectable signal for that multipole. For reference we have also shown two fiducial theoretical Faraday rotation power-spectra, for a scale-invariant and causal stochastic magnetic field [15]. It is clear from the plot that for scale invariant case largest contribution to the (S/N ) comes from large-scale (low L), while for causal magnetic fields, small scales (large L) contribute the most.…”
Section: Resultsmentioning
confidence: 96%
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“…Magnetic fields give rise to scalar, vector and tensor metric perturbations as well as fluid perturbations via the Lorentz force. Constraints on large scale primordial magnetic fields have already been derived using the CMB temperature and polarization power spectra [29][30][31][32][33][34][35][36] and Faraday rotation [37][38][39]. However, the effects of a primordial magnetic field on the CMB are relatively more pronounced in its non-Gaussian correlations.…”
Section: Introductionmentioning
confidence: 99%
“…Stringent constraints emerge from considering different aspects of the interaction of PMF with the CMB, as well as different features and scales of these cosmic fields (see for instance [45,46], and references therein). Constraints have been derived using the CMB temperature and polarization power spectra [47][48][49][50], Faraday rotation [51][52][53], cosmic birefringence, and studying its non-Gaussian correlations, considering the bispectrum [54,55] as well as the trispectrum [56]. The upper bounds that are established are between a few and a tenth of nano Gauss.…”
Section: Scenarios For the Generation Of Cosmic Magnetic Fieldsmentioning
confidence: 99%