Built on

C. Sleight, A Mellin Space Approach to Cosmological Correlators , JHEP 01
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, Bootstrapping Inflationary Correlators in Mellin Space , JHEP 02
Original
1907
Earlier work this paper cites.
S. Albayrak and S. Kharel, Towards the higher point holographic momentum space amplitudes. Part II. Gravitons , JHEP 12
Original
1908
Earlier work this paper cites.
Z. Bern, J.J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
P. Benincasa, Cosmological Polytopes and the Wavefuncton of the Universe for Light States , 1909.02517
Original
1909
Earlier work this paper cites.
A. Bzowski, P. McFadden and K. Skenderis, Conformal n n -point functions in momentum space , Phys. Rev. Lett. 124
Original
1910
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee and G.L. Pimentel, The cosmological bootstrap: weight-shifting operators and scalar seeds , JHEP 12
Original
1910
Earlier work this paper cites.
V. Gorbenko and L. Senatore, λ ϕ 4 \lambda\phi^{4} in dS , 1911.00022
Original
1911
Earlier work this paper cites.
M. Baumgart and R. Sundrum, De Sitter Diagrammar and the Resummation of Time , JHEP 07
Original
1912
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
A. Bzowski, P. McFadden and K. Skenderis, Holographic predictions for cosmological 3-point functions , JHEP 03
Original
1967
Earlier work this paper cites.
S.J. Parke and T.R. Taylor, An Amplitude for n n Gluon Scattering , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
S.J. Parke and T.R. Taylor, Gluonic Two Goes to Four , Nucl. Phys. B 269
1986
Earlier work this paper cites.
D. Green and R.A. Porto, Signals of a Quantum Universe , Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
S. Albayrak, C. Chowdhury and S. Kharel, Study of momentum space scalar amplitudes in AdS spacetime , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Earlier work this paper cites.
J.M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
L. Bordin and G. Cabass, Graviton non-Gaussianities and Parity Violation in the EFT of Inflation , JCAP 07
Original
2004
Earlier work this paper cites.
D. Green and E. Pajer, On the Symmetries of Cosmological Perturbations , JCAP 09
Original
2004
Earlier work this paper cites.
M.P. Hertzberg, J.A. Litterer and M. Sandora, Symmetries from locality. II. Gravitation and Lorentz boosts , Phys. Rev. D 102
Original
2005
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee and G.L. Pimentel, The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization , SciPost Phys. 11
Original
2005
Earlier work this paper cites.
S. Weinberg, Quantum contributions to cosmological correlations , Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
E. Pajer, D. Stefanyszyn and J. Supeł, The Boostless Bootstrap: Amplitudes without Lorentz boosts , JHEP 12
Original
2007
Earlier work this paper cites.
T. Cohen and D. Green, Soft de Sitter Effective Theory , JHEP 12
Original
2007
Earlier work this paper cites.
C. Sleight and M. Taronna, From AdS to dS exchanges: Spectral representation, Mellin amplitudes, and crossing , Phys. Rev. D 104
Original
2007
Earlier work this paper cites.

Similar

D. Seery, J.E. Lidsey and M.S. Sloth, The inflationary trispectrum , JCAP 01
2007
Cited alongside, same era.
X. Chen, M.-x. Huang, S. Kachru and G. Shiu, Observational signatures and non-Gaussianities of general single field inflation , JCAP 01
2007
Cited alongside, same era.
P. Benincasa, C. Boucher-Veronneau and F. Cachazo, Taming Tree Amplitudes In General Relativity , JHEP 11
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N. Bartolo, L. Caloni, G. Orlando and A. Ricciardone, Tensor non-Gaussianity in chiral scalar-tensor theories of gravity , JCAP 03
Original
2008
Cited alongside, same era.
P.C. Schuster and N. Toro, Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization , JHEP 06
Original
2009
Cited alongside, same era.

Then

D. Anninos, T. Anous, D.Z. Freedman and G. Konstantinidis, Late-time Structure of the Bunch-Davies De Sitter Wavefunction , JCAP 11
Original
2015
Later among the works it cites.
N. Kundu, A. Shukla and S.P. Trivedi, Ward Identities for Scale and Special Conformal Transformations in Inflation , JHEP 01
Original
2016
Later among the works it cites.
A. Shukla, S.P. Trivedi and V. Vishal, Symmetry constraints in inflation, α \alpha -vacua, and the three point function , JHEP 12
Original
2016
Later among the works it cites.
L. Bordin, G. Cabass, P. Creminelli and F. Vernizzi, Simplifying the EFT of Inflation: generalized disformal transformations and redundant couplings , JCAP 09
Original
2017
Later among the works it cites.
N. Bartolo and G. Orlando, Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves , JCAP 07

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2022

The graviton four-point function in de Sitter space

Bonifacio, James, Goodhew, Harry, Joyce, Austin et al.

Understand

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime.

We derive this result in several ways: by direct calculation, using the in-in formalism and the wavefunction of the universe; by a heuristic derivation leveraging the flat space wavefunction coefficient; and by using the boostless cosmological bootstrap, in particular the combination of the cosmological optical theorem, the amplitude limit, and the manifestly local test.
We find agreement among the different methods.

Built on

C. Sleight, A Mellin Space Approach to Cosmological Correlators , JHEP 01
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, Bootstrapping Inflationary Correlators in Mellin Space , JHEP 02
Original
1907
Earlier work this paper cites.
S. Albayrak and S. Kharel, Towards the higher point holographic momentum space amplitudes. Part II. Gravitons , JHEP 12
Original
1908
Earlier work this paper cites.
Z. Bern, J.J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358
Original
1909
Earlier work this paper cites.
P. Benincasa, Cosmological Polytopes and the Wavefuncton of the Universe for Light States , 1909.02517
Original
1909
Earlier work this paper cites.
A. Bzowski, P. McFadden and K. Skenderis, Conformal n n -point functions in momentum space , Phys. Rev. Lett. 124
Original
1910
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee and G.L. Pimentel, The cosmological bootstrap: weight-shifting operators and scalar seeds , JHEP 12
Original
1910
Earlier work this paper cites.
V. Gorbenko and L. Senatore, λ ϕ 4 \lambda\phi^{4} in dS , 1911.00022
Original
1911
Earlier work this paper cites.
M. Baumgart and R. Sundrum, De Sitter Diagrammar and the Resummation of Time , JHEP 07
Original
1912
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
A. Bzowski, P. McFadden and K. Skenderis, Holographic predictions for cosmological 3-point functions , JHEP 03
Original
1967
Earlier work this paper cites.
S.J. Parke and T.R. Taylor, An Amplitude for n n Gluon Scattering , Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
S.J. Parke and T.R. Taylor, Gluonic Two Goes to Four , Nucl. Phys. B 269
1986
Earlier work this paper cites.
D. Green and R.A. Porto, Signals of a Quantum Universe , Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
S. Albayrak, C. Chowdhury and S. Kharel, Study of momentum space scalar amplitudes in AdS spacetime , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Earlier work this paper cites.
J.M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05
2003
Earlier work this paper cites.
L. Bordin and G. Cabass, Graviton non-Gaussianities and Parity Violation in the EFT of Inflation , JCAP 07
Original
2004
Earlier work this paper cites.
D. Green and E. Pajer, On the Symmetries of Cosmological Perturbations , JCAP 09
Original
2004
Earlier work this paper cites.
M.P. Hertzberg, J.A. Litterer and M. Sandora, Symmetries from locality. II. Gravitation and Lorentz boosts , Phys. Rev. D 102
Original
2005
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee and G.L. Pimentel, The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization , SciPost Phys. 11
Original
2005
Earlier work this paper cites.
S. Weinberg, Quantum contributions to cosmological correlations , Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory , Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
E. Pajer, D. Stefanyszyn and J. Supeł, The Boostless Bootstrap: Amplitudes without Lorentz boosts , JHEP 12
Original
2007
Earlier work this paper cites.
T. Cohen and D. Green, Soft de Sitter Effective Theory , JHEP 12
Original
2007
Earlier work this paper cites.
C. Sleight and M. Taronna, From AdS to dS exchanges: Spectral representation, Mellin amplitudes, and crossing , Phys. Rev. D 104
Original
2007
Earlier work this paper cites.

Similar

D. Seery, J.E. Lidsey and M.S. Sloth, The inflationary trispectrum , JCAP 01
2007
Cited alongside, same era.
X. Chen, M.-x. Huang, S. Kachru and G. Shiu, Observational signatures and non-Gaussianities of general single field inflation , JCAP 01
2007
Cited alongside, same era.
P. Benincasa, C. Boucher-Veronneau and F. Cachazo, Taming Tree Amplitudes In General Relativity , JHEP 11
2007
Cited alongside, same era.
N. Bartolo, L. Caloni, G. Orlando and A. Ricciardone, Tensor non-Gaussianity in chiral scalar-tensor theories of gravity , JCAP 03
Original
2008
Cited alongside, same era.
P.C. Schuster and N. Toro, Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization , JHEP 06
Original
2009
Cited alongside, same era.