  We investigate the one loop effective potential of inflation in a standard
model of chaotic inflation. The leading one loop corrections to the effective
inflaton potential are evaluated in the quasi de Sitter background, and we
estimate the one loop correction to the two-point function of the inflaton
perturbations in the Hartree approximation. In this approximation, the one loop
corrections depends on the total number of e-foldings of inflation and the
maximal effect is estimated to be a correction to the power spectrum of a few
percent. However, such a correction may be difficult to disentangle from the
background in the simplest scenario.

Astrophysics;General Relativity and Quantum Cosmology;High Energy Physics - Theory