Loops in dS/CFT
Abstract
We consider the semi-classical expansion of the Bunch-Davies wavefunction with future boundary condition in position space for a real scalar field, conformally coupled to a classical de Sitter background in the expanding Poincar\'e patch with quartic selfinteraction. In the future boundary limit the wave function takes the form of the generating functional of a Euclidean conformal field theory for which we calculate the anomalous dimensions of the double trace deformations at one loop order using results obtained from Euclidean Anti de Sitter space. We find analytic expressions for some subleading twist operators and an algorithm to obtain expressions for general twist.
Cite
@article{arxiv.2009.06511,
title = {Loops in dS/CFT},
author = {Till Heckelbacher and Ivo Sachs},
journal= {arXiv preprint arXiv:2009.06511},
year = {2021}
}
Comments
Journal reference added and minor typos fixed. Some clarifications were made in the conclusion. 29+7 pages