CMB imprints of non-canonical anisotropic inflation

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.

arXiv comment22 pages, 7 figures, minor revision with additional discussions on some important results investigated by other people. Some relevant references are added. All results and conclusions are not changed. Accepted for publication in EPJC. Comments are welcome

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• Formalizing Anisotropic Inflation in Modified Gravity
• Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Stable small spatial hairs in a power-law k-inflation model
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• Viable Anisotropic Inflation and Reheating in the Tachyon Model
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Observational Viability of Anisotropic Inflation Revisited