Name: Jishnu Sai P
Affiliation: Indian Institute of Science
Conference ID : ASI2022_481
Title : On the primordial correlation of gravitons with gauge fields
Authors : Rajeev Kumar Jain, P. Jishnu Sai and Martin S. Sloth
Abstract Type: Poster
Abstract Category : General Relativity and Cosmology
Abstract : We calculate the primordial correlation of gravitons with an abelian gauge field non-minimally coupled through a dynamical dilaton field or a volume moduli during inflation in the early universe. In particular, we compute the cross-correlation of a tensor mode with two gauge field modes and the corresponding correlation functions for the associated magnetic and electric fields using the in-in formalism. Moreover, using semi-classical methods, we show that the three-point cross-correlation functions satisfy new consistency relations (soft theorems) in the squeezed limit. Our findings exhibit a complete agreement of the full in-in results with the new consistency relations. An interesting consequence of our scenario is the possibility of a novel correlation of the primordial tensor mode with the primordial curvature perturbation induced by quantum gravity. The anisotropic background created by long-wavelength gauge fields makes this correlation function non-vanishing. Finally, we discuss how these three-point correlation functions are imprinted on cosmological observables today and the applications to scenarios of inflationary magnetogenesis.