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 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.

arXiv commentJournal reference added and minor typos fixed. Some clarifications were made in the conclusion. 29+7 pages

References in corpus (21)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The dS/CFT Correspondence
• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• The Analytic Bootstrap and AdS Superhorizon Locality
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• Inflation and the dS/CFT Correspondence
• Unitarity and the Holographic S-Matrix
• Effective Conformal Theory and the Flat-Space Limit of AdS
• Bootstrapping Inflationary Correlators in Mellin Space
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• Anomalous dimensions of high-spin operators beyond the leading order
• Lecture notes on interacting quantum fields in de Sitter space
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• State/Operator Correspondence in Higher-Spin dS/CFT
• Quantum ${\varphi }^4$ Theory in AdS${}_4$ and its CFT Dual
• Loops in Anti-de Sitter Space
• Higher Spin de Sitter Holography from Functional Determinants
• Propagators in de Sitter space
• Propagators and Gaussian effective actions in various patches of de Sitter space
• Late-time Structure of the Bunch-Davies FRW Wavefunction

Cited by in corpus (7)

• Analytical evaluation of cosmological correlation functions
• Renormalisation of IR divergences and holography in de Sitter
• Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
• de Sitter at all loops: the story of the Schwinger model
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• An Elliptic One-Loop Amplitude in Anti-de-Sitter Space