# Towards the non-perturbative cosmological bootstrap

@inproceedings{Hogervorst2021TowardsTN, title={Towards the non-perturbative cosmological bootstrap}, author={Matthijs Hogervorst and Jo{\~a}o Penedones and Kamran Salehi Vaziri}, year={2021} }

We study Quantum Field Theory (QFT) on a background de Sitter spacetime dSd+1. Our main tool is the Hilbert space decomposition in irreducible unitarity representations of its isometry group SO(d + 1, 1). Throughout this work, we focus on the late-time physics of dSd+1, in particular on the boundary operators that appear in the late-time expansion of bulk local operators. As a first application of the Hilbert space formalism, we recover the Källen-Lehmann spectral decomposition of bulk two… Expand

#### 4 Citations

Analyticity and Unitarity for Cosmological Correlators

- Physics
- 2021

We study the fundamentals of quantum field theory on a rigid de Sitter space. We show that the perturbative expansion of late-time correlation functions to all orders can be equivalently generated by… Expand

Scalar two-point functions at the late-time boundary of de Sitter

- Physics
- 2021

We calculate two-point functions of scalar fields of mass m and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general d+ 1 spacetime… Expand

From Schwinger to Wightman: all conformal 3-point functions in momentum space

- Physics
- 2021

All conformal correlation functions of 3 scalar primary operators are constructed in an axiomatic way, relying only on conformal symmetry and causality. The construction makes use of the R-product… Expand

Holographic Complexity and de Sitter Space

- Physics
- 2021

We compute the length of spacelike geodesics anchored at opposite sides of certain double-sided flow geometries in two dimensions. These geometries are asymptotically anti-de Sitter but they admit… Expand

#### References

SHOWING 1-10 OF 85 REFERENCES

The S-matrix bootstrap. Part I: QFT in AdS

- Physics
- 2016

A bstractWe propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its… Expand

A Mellin space approach to cosmological correlators

- Physics
- 2019

We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in ( d + 1)-dimensional de Sitter space. The Mellin-Barnes representation… Expand

Perturbative S-matrix for massive scalar fields in global de Sitter space

- Physics
- 2012

We construct a perturbative S-matrix for interacting massive scalar fields in global de Sitter space. Our S-matrix is formulated in terms of asymptotic particle states in the far past and future,… Expand

TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE

- Physics
- 1996

We present a theory of general two-point functions and of generalized free fields in d-dimensional de Sitter space-time which closely parallels the corresponding Minkowskian theory. The usual… Expand

The Inflationary Wavefunction from Analyticity and Factorization

- Physics
- 2021

We study the analytic properties of tree-level wavefunction coefficients in quaside Sitter space. We focus on theories which spontaneously break dS boost symmetries and can produce significant… Expand

Infrared dynamics of the massive ϕ4 theory on de Sitter space

- Physics
- 2013

We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We… Expand

The cosmological bootstrap: inflationary correlators from symmetries and singularities

- Physics
- 2018

Scattering amplitudes at weak coupling are highly constrained by Lorentz invariance, locality and unitarity, and depend on model details only through coupling constants and the particle content of… Expand

Conformal Regge theory

- Physics
- 2012

A bstractWe generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the… Expand

Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion

- Physics
- 2007

We derive an eikonal approximation to high energy interactions in Anti-de Sitter spacetime, by generalizing a position space derivation of the eikonal amplitude in flat space. We are able to resum,… Expand

The dS/CFT correspondence

- Physics
- 2001

A holographic duality is proposed relating quantum gravity on dSD (D-dimensional de Sitter space) to conformal field theory on a single SD−1 ((D-1)-sphere), in which bulk de Sitter correlators with… Expand