Cosmic microwave background polarization in non-commutative space-time

• Published in: The European physical journal. C, Particles and fields Vol. 76; no. 9; p. 1
• Main Authors: Tizchang, S., Batebi, S., Haghighat, M., Mohammadi, R.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 30.08.2016; Springer; Springer Nature B.V
• Subjects: Analysis; Astronomy; Astrophysics and Cosmology; Cosmic background radiation; Elementary Particles; Hadrons; Heavy Ions; Inflation (Economics); Letter; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; String Theory; Scalar Perturbation; Circular Polarization; Stokes Parameter; Cosmic Microwave Background Polarization; Compton Scattering
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-016-4312-5

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 20 TeV 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.