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 Poincaré 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.
Highlights
The main goal of this work is to calculate contributions to the wave function up to second order in the perturbative expansion including loops and to use existing results from EAdS to learn more about the dual CFT
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
The quantum contributions to the two point function are all proportional to a massshift und the renormalization scheme can be defined such that the physical mass is fixed by the scaling behaviour on the boundary and so no anomalous dimensions are picked up and no information about the CFT can be obtained from the two point function
Summary
In this work we are concerned with quantum fields in a classical de Sitter background, which has the following geometry. De Sitter space is a maximally symmetric space with constant positive curvature i.e. the Ricci scalar fulfills the condition R > 0. We will use the so called Poincaré patch which is spatially flat and describes only on half of the whole de Sitter manifold. It is the one which is most relevant in cosmology as it is believed to approximately describe the universe during the inflationary stage and in the assymptotic future. As the points with positive η are not covered by Poincaré coordinates we see that these values of Z are out of reach This will play an important role when we analyze the Green functions of a scalar field theory
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
