Abstract

Effect of non-canonical scalar fields on the CMB imprints of the anisotropic inflation will be discussed in details in this paper. In particular, we are able to obtain the general formalism of the angular power spectra in the scalar perturbations, tensor perturbations, cross-correlations, and linear polarization in the context of the anisotropic inflation model involving non-canonical scalar fields. Furthermore, some significant numerical spectra will be plotted using the most recent data of Planck as well as the BICEP2 and Keck array. As a result, we find a very interesting point that the TT spectra induced by the tensor perturbations as well as by the linear polarization will increase when the speed of sound decreases.

Highlights

  • If the early universe was induced by anisotropic inflation, we would like to find out the late-time state of universe

  • Effect of non-canonical scalar fields on the cosmic microwave background radiation (CMB) imprints of the anisotropic inflation has been discussed in details in this article

  • By using the Bunch-Davies (BD) vacuum state for the non-canonical scalar field [104], we have obtained a general formalism of tensor-to-scalar ratio as well as a general formalism of the angular power spectra in the scalar perturbations, tensor perturbations, cross-correlations, and linear polarization for the anisotropic inflationary model with non-canonical scalar field

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Summary

Introduction

If the early universe was induced by anisotropic inflation, we would like to find out the late-time state of universe. The new set of solutions has been shown to disfavor the cosmic no-hair conjecture This result is still valid when a canonical scalar field of the KSW model is replaced by non-canonical models such as the Dirac–Born– Infeld (DBI) field [49,50,51], the supersymmetric Dirac–Born–. We propose to study the correlations of T , E, and B modes in non-canonical anisotropic inflation, e.g., the DBI and SDBI models [49,50,51,52,53] to see how the noncanonical terms of scalar field affect the results in the KSW model [85,86,87,88,89,90].

Non-canonical extensions of Kanno–Soda–Watanabe model
Scalar and tensor perturbations
Scalar perturbation
Tensor perturbations
Full tensor-to-scalar ratio
CMB imprints of the non-canonical anisotropic inflation
Anisotropy in the scalar perturbations
Anisotropy in the tensor perturbations
Anisotropy in the cross-correlations
Anisotropy in the linear polarization
Numerical results
Conclusions
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