2013
DOI: 10.1088/1475-7516/2013/08/008
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The anisotropy of a three- and a one-form

Abstract: Abstract. We calculate the anisotropic signal associated with the coupling of a three-form with an Abelian vector gauge field. In the simplest examples of three-form inflation the amplification of the vector fluctuations is exponential; this makes it almost certain that a large anisotropy will develop, severely constraining the viability of the coupling.

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Cited by 5 publications
(6 citation statements)
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References 33 publications
(51 reference statements)
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“…For instance, a time-dependent interaction between the inflaton and the vector fields can induce non-Gaussian cross-correlations between the metric/curvature perturbations and magnetic fields which turn out to be large for a particular shape and could have interesting cosmological consequences [25][26][27][28][29][30]. Furthermore, statistically anisotropic contribution to the primordial curvature perturbation during inflation as well as anisotropic power spectrum and bispectrum due to the presence of this coupling have also been explored [31][32][33][34].…”
Section: Contentsmentioning
confidence: 99%
“…For instance, a time-dependent interaction between the inflaton and the vector fields can induce non-Gaussian cross-correlations between the metric/curvature perturbations and magnetic fields which turn out to be large for a particular shape and could have interesting cosmological consequences [25][26][27][28][29][30]. Furthermore, statistically anisotropic contribution to the primordial curvature perturbation during inflation as well as anisotropic power spectrum and bispectrum due to the presence of this coupling have also been explored [31][32][33][34].…”
Section: Contentsmentioning
confidence: 99%
“…The interesting feature is in the spectral shape: the unphysical isotropic spectrum has a different slope (in this case, shallower) than the physical anisotropic one. We expect this to be the case in general scenarios -this indeed happens in [4,17]. Thus, the isotropic spectrum not only misses the angular dependence of the physical result, but also misleads in terms of the general structure with momentum.…”
Section: Remarksmentioning
confidence: 80%
“…The gauge field fluctuations are boosted exponentially through the coupling with the background; however, this exponential amplification is not very efficient, mostly because the coupling itself is active only just around horizon crossing, and it is not a time-exponential enhancement (see for example [17] for an example of the latter possibility). As always in this kind of chiral couplings, of the two physical helicities of a massless U (1) field, only one is amplified, the second one being instead suppressed.…”
Section: The Correlatorsmentioning
confidence: 99%
“…Several models have been already proposed in the literature to break the conformal invariance of the electromagnetic action, as those including a non-trivial coupling between a scalar field (generally considered as the inflaton) and the gauge field [50][51][52][53][54][55]. Alternative scenarios to break the conformal invariance have been proposed in the shelter of non-linear electrodynamics [56] or 3-form fields [57]. Other important issues that affect inflationary magnetogenesis models are the backreaction and the strong coupling problems [10,16,36,51,55,58].…”
Section: Introductionmentioning
confidence: 99%