# The four-point correlation function of graviton during inflation

@article{Fu2015TheFC, title={The four-point correlation function of graviton during inflation}, author={Tianfu Fu and Qing Guo Huang}, journal={Journal of High Energy Physics}, year={2015}, volume={2015}, pages={1-20} }

A bstractWe expand the Einstein-Hilbert action with a positive cosmological constant up to the fourth order in terms of gravity fluctuations, and then use the in-in formalism to calculate the four-point correlation function for gravitational waves, including both contact and exchange diagrams, generated during a period of exactly de Sitter expansion. In addition, we also present the general properties of the n-point function of graviton in terms of both circularly and linearly polarized states.

## 4 Citations

### KLT-like behaviour of inflationary graviton correlators

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2018

We use the spinor helicity formalism to study KLT-like relations for the inflationary graviton four-point correlation function. New features are observed in this correlation function compared to the…

### Cosmological correlators, In–In formalism and double copy

- PhysicsModern Physics Letters A
- 2020

We are investigating if the double copy structure as product of scattering amplitudes of gauge theories applies to cosmological correlators computed, in a class of theories for inflation, by the…

### Primordial non-Gaussianities of gravitational waves beyond Horndeski theories

- Physics
- 2016

We clarify the features of primordial non-Gaussianities of tensor perturbations in Gao's unifying framework of scalar-tensor theories. The general Lagrangian is given in terms of the ADM variables so…

### The Cosmological Bootstrap: Spinning correlators from symmetries and factorization

- PhysicsSciPost Physics
- 2021

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…

## References

SHOWING 1-10 OF 32 REFERENCES

### On graviton non-gaussianities during inflation

- Physics
- 2011

We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The de Sitter isometries constrain the possible shapes to only…

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

- Mathematics
- 2003

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…

### Quantum contributions to cosmological correlations

- Physics
- 2005

The 'in-in' formalism is reviewed and extended, and applied to the calculation of higher-order Gaussian and non-Gaussian correlations in cosmology. Previous calculations of these correlations…

### Quantum field theory in de Sitter space: renormalization by point-splitting

- Physics, Computer ScienceProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1978

A renormalization ansatz based on the DeWitt-Schwinger expansion is proposed, and it is shown that this removes all am biguities previously present in pointsplitting regularization.

### Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model with second-order field equations.

- PhysicsPhysical review letters
- 2011

Only two shapes appear in the graviton bispectrum of the most general single-field inflation model, which could open a new clue to the identification of inflationary gravitational waves in observations of cosmic microwave background anisotropies as well as direct detection experiments.

### Parity violation in graviton non-gaussianity

- Physics
- 2011

We study parity violation in graviton non-gaussianity generated during inflation. We develop a useful formalism to calculate graviton non-gaussianity. Using this formalism, we explicitly calculate…

### Effects of parity violation on non-Gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity

- Physics
- 2013

In this paper, we study the effects of parity violation on non-Gaussianities of primordial gravitational waves in the framework of the Hořava-Lifshitz theory of gravity, in which high-order spatial…

### A New Type of Isotropic Cosmological Models without Singularity - Phys. Lett. B91, 99 (1980)

- Physics
- 1980

### The Large-N Limit of Superconformal Field Theories and Supergravity

- Physics, Mathematics
- 1997

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,…

### Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking

- Physics
- 1982

The treatment of first-order phase transitions for standard grand unified theories is shown to break down for models with radiatively induced spontaneous symmetry breaking. It is argued that proper…