Built on

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 , 1910.14051
Original
1910
Earlier work this paper cites.
A. Hillman, Symbol Recursion for the dS Wave Function , 1912.09450
Original
1912
Earlier work this paper cites.
T.S. Bunch and P.C. Davies, Quantum field theory in de sitter space: renormalization by point-splitting , Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 360
1978
Earlier work this paper cites.
T. Falk, R. Rangarajan and M. Srednicki, The angular dependence of the three-point correlation function of the cosmic microwave background radiation as predicted by inflationary cosmologies , arXiv preprint astro-ph/9208001 (1992)
1992
Earlier work this paper cites.
R. Arnowitt, S. Deser and C.W. Misner, Republication of: The dynamics of general relativity , General Relativity and Gravitation 40
1997
Earlier work this paper cites.
M.L. Boas, Mathematical methods in the physical sciences , 1999
1999
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Classical and Quantum Gravity 19
2002
Earlier work this paper cites.
J. Maldacena, Non-gaussian features of primordial fluctuations in single field inflationary models , Journal of High Energy Physics 7
2003
Earlier work this paper cites.
D. Green and E. Pajer, On the Symmetries of Cosmological Perturbations , 2004.09587
Original
2004
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 , 2005.04234
Original
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.
H. Goodhew, S. Jazayeri and E. Pajer, The Cosmological Optical Theorem , 2009.02898
Original
2009
Earlier work this paper cites.
S. Céspedes, A.-C. Davis and S. Melville, On the time evolution of cosmological correlators , JHEP 02
Original
2009
Earlier work this paper cites.

Similar

E. Pajer, Building a Boostless Bootstrap for the Bispectrum , JCAP 01
Original
2010
Cited alongside, same era.
H. Isono, H.M. Liu and T. Noumi, Wavefunctions in dS/CFT revisited: principal series and double-trace deformations , 2011.09479
Original
2011
Cited alongside, same era.
J.M. Maldacena and G.L. Pimentel, On graviton non-Gaussianities during inflation , JHEP 09
Original
2011
Cited alongside, same era.
P. Creminelli, Conformal invariance of scalar perturbations in inflation , Phys. Rev. D 85
Original
2012
Cited alongside, same era.
A. Kehagias and A. Riotto, Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter , Nucl. Phys. B 864

Then

C. Cheung, TASI Lectures on Scattering Amplitudes , in Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics : Anticipating the Next Discoveries in Particle Physics (TASI 2016): Boulder, CO, USA, June 6-July 1, 2016 , pp. 571–623, 2018, DOI [ 1708.03872 ]
Original
2018
Later among the works it cites.
A. Pich, Effective field theory with nambu-goldstone modes , arXiv preprint arXiv:1804.05664 (2018)
Original
2018
Later among the works it cites.
L. Bordin, P. Creminelli, A. Khmelnitsky and L. Senatore, Light particles with spin in inflation , Journal of Cosmology and Astroparticle Physics 2018
2018
Later among the works it cites.
N. Arkani-Hamed, D. Baumann, H. Lee and G.L. Pimentel, The Cosmological Bootstrap: Inflationary Correlators from Symmetries and Singularities , JHEP 04
Original
2020
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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2022

Rational Wavefunctions in de Sitter Spacetime

Goodhew, Harry

Understand

The Bootstrap approach to calculating cosmological correlators relies on a well motivated ansatz.

It is typical in the literature to assume that correlators are rational functions as this greatly increases our constraining power.
However, this has only previously been demonstrated for some specific theories.
In this paper we find a set of assumptions which we prove are sufficient to ensure that the wavefunction coefficients are rational.

Built on

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 , 1910.14051
Original
1910
Earlier work this paper cites.
A. Hillman, Symbol Recursion for the dS Wave Function , 1912.09450
Original
1912
Earlier work this paper cites.
T.S. Bunch and P.C. Davies, Quantum field theory in de sitter space: renormalization by point-splitting , Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 360
1978
Earlier work this paper cites.
T. Falk, R. Rangarajan and M. Srednicki, The angular dependence of the three-point correlation function of the cosmic microwave background radiation as predicted by inflationary cosmologies , arXiv preprint astro-ph/9208001 (1992)
1992
Earlier work this paper cites.
R. Arnowitt, S. Deser and C.W. Misner, Republication of: The dynamics of general relativity , General Relativity and Gravitation 40
1997
Earlier work this paper cites.
M.L. Boas, Mathematical methods in the physical sciences , 1999
1999
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Classical and Quantum Gravity 19
2002
Earlier work this paper cites.
J. Maldacena, Non-gaussian features of primordial fluctuations in single field inflationary models , Journal of High Energy Physics 7
2003
Earlier work this paper cites.
D. Green and E. Pajer, On the Symmetries of Cosmological Perturbations , 2004.09587
Original
2004
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 , 2005.04234
Original
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.
H. Goodhew, S. Jazayeri and E. Pajer, The Cosmological Optical Theorem , 2009.02898
Original
2009
Earlier work this paper cites.
S. Céspedes, A.-C. Davis and S. Melville, On the time evolution of cosmological correlators , JHEP 02
Original
2009
Earlier work this paper cites.

Similar

E. Pajer, Building a Boostless Bootstrap for the Bispectrum , JCAP 01
Original
2010
Cited alongside, same era.
H. Isono, H.M. Liu and T. Noumi, Wavefunctions in dS/CFT revisited: principal series and double-trace deformations , 2011.09479
Original
2011
Cited alongside, same era.
J.M. Maldacena and G.L. Pimentel, On graviton non-Gaussianities during inflation , JHEP 09
Original
2011
Cited alongside, same era.
P. Creminelli, Conformal invariance of scalar perturbations in inflation , Phys. Rev. D 85
Original
2012
Cited alongside, same era.
A. Kehagias and A. Riotto, Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter , Nucl. Phys. B 864

Then

C. Cheung, TASI Lectures on Scattering Amplitudes , in Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics : Anticipating the Next Discoveries in Particle Physics (TASI 2016): Boulder, CO, USA, June 6-July 1, 2016 , pp. 571–623, 2018, DOI [ 1708.03872 ]
Original
2018
Later among the works it cites.
A. Pich, Effective field theory with nambu-goldstone modes , arXiv preprint arXiv:1804.05664 (2018)
Original
2018
Later among the works it cites.
L. Bordin, P. Creminelli, A. Khmelnitsky and L. Senatore, Light particles with spin in inflation , Journal of Cosmology and Astroparticle Physics 2018
2018
Later among the works it cites.
N. Arkani-Hamed, D. Baumann, H. Lee and G.L. Pimentel, The Cosmological Bootstrap: Inflationary Correlators from Symmetries and Singularities , JHEP 04
Original
2020
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

S. Raju, New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators , Phys. Rev. D 85

Original

2012

Cited alongside, same era.

I. Mata, S. Raju and S. Trivedi, CMB from CFT , JHEP 07

Original

2013

Cited alongside, same era.

A. Bzowski, P. McFadden and K. Skenderis, Implications of conformal invariance in momentum space , JHEP 03

Original

2014

Cited alongside, same era.

A. Ghosh, N. Kundu, S. Raju and S.P. Trivedi, Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation , JHEP 07

Original

2014

Cited alongside, same era.

N. Kundu, A. Shukla and S.P. Trivedi, Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation , JHEP 04

Original

2015

Cited alongside, same era.

D. Anninos, T. Anous, D.Z. Freedman and G. Konstantinidis, Late-time structure of the bunch-davies de sitter wavefunction , Journal of Cosmology and Astroparticle Physics 2015

2015

Cited alongside, same era.

N. Kundu, A. Shukla and S.P. Trivedi, Ward Identities for Scale and Special Conformal Transformations in Inflation , JHEP 01

Original

2016

Cited alongside, same era.

H. Goodhew, S. Jazayeri, M.H.G. Lee and E. Pajer, Cutting cosmological correlators , Journal of Cosmology and Astroparticle Physics 2021

2021

Later among the works it cites.

J. Bonifacio, E. Pajer and D.-G. Wang, From amplitudes to contact cosmological correlators , Journal of High Energy Physics 2021

2021

Later among the works it cites.