Non-Bunch–Davis initial state reconciles chaotic models with BICEP and Planck

• Published in: Physics letters. B Vol. 737; no. C; pp. 98 - 102
• Main Authors: Ashoorioon, Amjad, Dimopoulos, Konstantinos, Sheikh-Jabbari, Mohammad M., Shiu, Gary
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 07.10.2014; Elsevier
• Subjects: BICEP; Chaotic inflation; Excited initial state; Planck satellite data; Excited initial state; Chaotic inflation; BICEP; Planck satellite data
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2014.08.038

The BICEP2 experiment has announced a signal for primordial gravity waves with tensor-to-scalar ratio r=0.2−0.05+0.07[1]. There are two ways to reconcile this result with the latest Planck experiment [2]. One is by assuming that there is a considerable tilt of r, Tr, with a positive sign, Tr=dln⁡r/dln⁡k≳0.57−0.27+0.29 corresponding to a blue tilt for the tensor modes of order nT≃0.53−0.27+0.29, assuming the Planck experiment best-fit value for tilt of scalar power spectrum nS. The other possibility is to assume that there is a negative running in the scalar spectral index, dnS/dln⁡k≃−0.02 which pushes up the upper bound on r from 0.11 up to 0.26 in the Planck analysis assuming the existence of a tensor spectrum. Simple slow-roll models fail to provide such large values for Tr or negative runnings in nS[1]. In this note we show that a non-Bunch–Davies initial state for perturbations can provide a match between large field chaotic models (like m2ϕ2) with the latest Planck result [3] and BICEP2 results by accommodating either the blue tilt of r or the negative large running of nS.