Dependence of Density Perturbations on the Coupling Constant in a Simple Model of Inflation

Details Dependence of Density Perturbations on the Coupling Constant in a Simple Model of Inflation Dependence of Density Perturbations on the Coupling Constant in a Simple Model of Inflation

1992-08-04

arxiv.org/abs/astro-ph/9208002v1

Phys.Rev. D46 (1992) 4232-4234

Astronomy and Astrophysics

Astrophysics

6 pages, in Plain Tex, UCSBTH-92-20

Scientific paper

10.1103/PhysRevD.46.4232

In the standard inflationary scenario with inflaton potential $V(\Phi)=M^4-{1\over4}\lambda\Phi^4$, the resulting density perturbations $\delta\rho/\rho$ are proportional to $\lambda^{1/2}$. Upper bounds on $\delta\rho/\rho$ require $\lambda < 10^{-13}$. Ratra has shown that an alternative treatment of reheating results in $\delta\rho/\rho \propto \lambda^{-1}$, so that an upper bound on $\delta\rho/\rho$ does not put an obvious upper bound on $\lambda$. We verify that $\delta\rho/\rho \propto \lambda^{-1}$ is indeed a possibility, but show that $\lambda < 10^{-13}$ is still required.

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