https://doi.org/10.1140/epjc/s10052-016-4312-5
Letter
Cosmic microwave background polarization in non-commutative space-time
1
Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran
2
Department of Physics, Shiraz University, Shiraz, Iran
3
Iran Science and Technology Museum (IRSTM), PO BOX: 11369-14611, Tehran, Iran
* e-mail: rmohammadi@ipm.ir
Received:
31
May
2016
Accepted:
8
August
2016
Published online:
30
August
2016
In the standard model of cosmology (SMC) the B-mode polarization of the CMB can be explained by the gravitational effects in the inflation epoch. However, this is not the only way to explain the B-mode polarization for the CMB. It can be shown that the Compton scattering in the presence of a background, besides generating a circularly polarized microwave, can lead to a B-mode polarization for the CMB. Here we consider the non-commutative (NC) space-time as a background to explore the CMB polarization at the last scattering surface. We obtain the B-mode spectrum of the CMB radiation by scalar perturbation of metric via a correction on the Compton scattering in NC-space-time in terms of the circular polarization power spectrum and the non-commutative energy scale. It can be shown that even for the NC scale as large as 
the NC-effects on the CMB polarization and the r parameter are significant. We show that the V-mode power spectrum can be obtained in terms of linearly polarized power spectrum in the range of micro- to nano-kelvin squared for the NC scale of about 1–20 TeV, respectively.
© The Author(s), 2016
