On the possibility of blue tensor spectrum within single field inflation

Abstract

We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists such possibility, the corresponding phase space is strongly bounded. Our result implies that, in order to achieve a blue tilt for inflationary tensor perturbations, one may either construct a non-canonical inflation model delicately, or study the generation of primordial tensor modes beyond the standard scenario of single slow-roll field.

Comments: (v1) 18 pages, 1 figure, 2 tables; (v2) 12 pages in REVTeX4, to appear in Nuclear Physics B