Brane-world inflation: slow-roll corrections to the spectral index

Koyama, Kazuya; Mennim, Andrew; Wands, David

Brane-world inflation: slow-roll corrections to the spectral index

Authors

Koyama, Kazuya

Mennim, Andrew

Wands, David

Description

We quantify the slow-roll corrections to primordial density perturbations arising from inflation driven by a four-dimensional scalar field with a monomial potential in a five-dimensional non-compact bulk spacetime. Although the difference between the classical brane-world solutions and standard four-dimensional solutions is large at early times, the change to the amplitude at late times of perturbations generated from quantum fluctuations is first-order in slow-roll parameters, leading to second-order slow-roll corrections to the spectral index. This confirms that the leading-order effects are correctly given by previous work in the literature.
6 pages, 1 figure