Scalar Three-point Functions in a CDL Background

Understand

Motivated by the FRW-CFT proposal by Freivogel, Sekino, Susskind and Yeh, we compute the three-point function of a scalar field in a Coleman-De Luccia instanton background.

• We first compute the three-point function of the scalar field making only very mild assumptions about the scalar potential and the instanton background.
• We obtain the three-point function for points in the FRW patch of the CDL instanton and take two interesting limits; the limit where the three points are near the boundary of the hyperbolic slices of the FRW patch, and the limit where the three points lie on the past lightcone of the FRW patch.
• We expand the past lightcone three-point function in spherical harmonics.