The cosmological bootstrap: weight-shifting operators and scalar seeds

  title={The cosmological bootstrap: weight-shifting operators and scalar seeds},
  author={Daniel Baumann and Carlos Duaso Pueyo and Austin Joyce and Hayden Hyungdong Lee and Guilherme L. Pimentel},
  journal={Journal of High Energy Physics},
Abstract A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block — the four-point function of conformally coupled scalars, arising from the exchange of a massive scalar. Correlators corresponding to the exchange of particles with spin are then obtained by applying a spin-raising operator to the scalar-exchange solution. Similarly, the correlators of massless external fields can be… 

The Cosmological Bootstrap: Spinning correlators from symmetries and factorization

We extend the cosmological bootstrap to correlators involving massless spinning particles, focusing on spin-1 and spin-2. In de Sitter space, these correlators are constrained both by symmetries and

Building a boostless bootstrap for the bispectrum

  • E. Pajer
  • Physics
    Journal of Cosmology and Astroparticle Physics
  • 2021
The observation of primordial correlators by cosmological surveys is a very promising avenue to probe high energies and the perturbative regime of quantum gravity. Hence, it is imperative that we

From locality and unitarity to cosmological correlators

Abstract In the standard approach to deriving inflationary predictions, we evolve a vacuum state in time according to the rules of a given model. Since the only observables are the future values of

Symbol Recursion for the dS Wave Function

We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies. The rule applies exactly for a class of

The scalar chemical potential in cosmological collider physics

Abstract Non-analyticity in co-moving momenta within the non-Gaussian bispectrum is a distinctive sign of on-shell particle production during inflation, presenting a unique opportunity for the

Cosmological Cutting Rules

Primordial perturbations in our universe are believed to have a quantum origin, and can be described by the wavefunction of the universe (or equivalently, cosmological correlators). It follows that

On the symmetries of cosmological perturbations

The space of inflationary models is vast, containing wide varieties of mechanisms, symmetries, and spectra of particles. Consequently, the space of observational signatures is similarly complex.

On the time evolution of cosmological correlators

Developing our understanding of how correlations evolve during inflation is crucial if we are to extract information about the early Universe from our late-time observables. To that end, we revisit

The conformal anomaly action to fourth order (4T) in $$d=4$$ in momentum space

We elaborate on the structure of the conformal anomaly effective action up to 4-th order, in an expansion in the gravitational fluctuations (h) of the background metric, in the flat spacetime limit.

The boostless bootstrap: amplitudes without Lorentz boosts

Abstract Poincaré invariance is a well-tested symmetry of nature and sits at the core of our description of relativistic particles and gravity. At the same time, in most systems Poincaré invariance



The Cosmological Bootstrap: Spinning correlators from symmetries and factorization

We extend the cosmological bootstrap to correlators involving massless spinning particles, focusing on spin-1 and spin-2. In de Sitter space, these correlators are constrained both by symmetries and

The cosmological bootstrap: inflationary correlators from symmetries and singularities

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

Non-Gaussianity as a particle detector

A bstractWe study the imprints of massive particles with spin on cosmological correlators. Using the framework of the effective field theory of inflation, we classify the couplings of these particles

Cosmological collider physics and the curvaton

Primordial non-Gaussianity signatures of extremely heavy particles are re- examined within a simple alternative to the standard inflationary paradigm, in which the primordial fluctuations and the

Constraints from conformal symmetry on the three point scalar correlator in inflation

A bstractUsing symmetry considerations, we derive Ward identities which relate the three point function of scalar perturbations produced during inflation to the scalar four point function, in a

Spinning conformal correlators

A bstractWe develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an indexfree notation where tensors

A Mellin space approach to cosmological correlators

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

Non-Gaussian features of primordial fluctuations in single field inflationary models

We compute the three point correlation functions for primordial scalar and tensor fluctuations in single field inflationary models. We obtain explicit expressions in the slow roll limit where the

Cosmological Collider Physics

We study the imprint of new particles on the primordial cosmological fluctuations. New particles with masses comparable to the Hubble scale produce a distinctive signature on the non-gaussianities.