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Cosmological power spectrum in a noncommutative spacetime

Rahul Kothari1,*, Pranati K. Rath2,†, and Pankaj Jain1,‡

  • 1Department of Physics, Indian Institute of Technology, Kanpur 208016, India
  • 2Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

  • *rahulko@iitk.ac.in
  • †pranati@iopb.res.in
  • ‡pkjain@iitk.ac.in
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Phys. Rev. D 94, 063531 – Published 29 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.063531

Abstract

We propose a generalized star product that deviates from the standard one when the fields are considered at different spacetime points by introducing a form factor in the standard star product. We also introduce a recursive definition by which we calculate the explicit form of the generalized star product at any number of spacetime points. We show that our generalized star product is associative and cyclic at linear order. As a special case, we demonstrate that our recursive approach can be used to prove the associativity of standard star products for same or different spacetime points. The introduction of a form factor has no effect on the standard Lagrangian density in a noncommutative spacetime because it reduces to the standard star product when spacetime points become the same. We show that the generalized star product leads to physically consistent results and can fit the observed data on hemispherical anisotropy in the cosmic microwave background radiation.

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See Also

Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy

Pranati K. Rath, Pavan K. Aluri, and Pankaj Jain
Phys. Rev. D 91, 023515 (2015)

Article Text

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Outline

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Phys. Rev. D 94, 063531– Published 29 September, 2016
  • Received 16 February 2016

© 2016 American Physical Society

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