Constraints on the chaotic inflationary scenario with a nonminimally coupled "inflaton" field from the cosmic microwave background radiation anisotropy

Abstract

We investigate a possibility to restrict the chaotic inflationary scenario with "large" nonminimally coupled inflaton("phi") field considered by Fakir and Unruh by means of the observed CMBR anisotropy. We calculate the contributions of the long wavelength gravitational waves generated in the inflationary period to CMBR anisotropy quadrupole moment. We obtain the constraint lambda/(xi^2) = 1.8 X 10^(-8)/psi_i, where "lambda" is the self coupling, "xi" is the nonminimal coupling constant and "psi_i" means the initial value of psi = 8piG(phi^2). Combining this with previously obtained constraint that 2.1 times squre root of lambda/(xi^2) = dT/T = 1.1 X 10^(-5), we conclude that the initial value has to be psi_i = 1.6 X 10^3. If the self-coupling has a reasonably values of order 10^(-2), then xi = 10^4 and phi_i = 10^(-1) times Planck mass.

10 pages, RevTeX, submitted to Physical Review D