Built on

M. Kologlu, P. Kravchuk, D. Simmons-Duffin and A. Zhiboedov, Shocks, Superconvergence, and a Stringy Equivalence Principle , 1904.05905
Original
1904
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and A. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities , JHEP 11
Original
1906
Earlier work this paper cites.
J. F. Donoghue and G. Menezes, Unitarity, stability and loops of unstable ghosts , Phys. Rev. D 100
Original
1908
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
Original
1909
Earlier work this paper cites.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A. J. Tolley, Positivity Constraints on Interacting Spin-2 Fields , JHEP 03
Original
1910
Earlier work this paper cites.
S. D. Chowdhury, A. Gadde, T. Gopalka, I. Halder, L. Janagal and S. Minwalla, Classifying and constraining local four photon and four graviton S-matrices , JHEP 02
Original
1910
Earlier work this paper cites.
N. Sennett, R. Brito, A. Buonanno, V. Gorbenko and L. Senatore, Gravitational-Wave Constraints on an Effective Field-Theory Extension of General Relativity , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
M. Gell-Mann, M. L. Goldberger and W. E. Thirring, Use of causality conditions in quantum theory , Phys. Rev. 95
1954
Earlier work this paper cites.
A. Martin, Unitarity and high-energy behavior of scattering amplitudes , Phys. Rev. 129
1963
Earlier work this paper cites.
S. Weinberg, Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass , Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations , Phys. Rev. 138
1965
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Negative Metric and the Unitarity of the S Matrix , Nucl. Phys. B 9
1969
Earlier work this paper cites.
R. E. Cutkosky, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, A non-analytic S matrix , Nucl. Phys. B 12
1969
Earlier work this paper cites.
American Math. Soc., Providence, RI, 1987
D. Eisenbud and J. Harris, On varieties of minimal degree (a centennial account) , in Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), 3 to 13, Proc. Sympos. Pure Math., 46, Part 1 · 1987
Earlier work this paper cites.
S. Gao and R. M. Wald, Theorems on gravitational time delay and related issues , Class. Quant. Grav. 17
2000
Earlier work this paper cites.
Z. Carson and K. Yagi, Asymptotically flat, parameterized black hole metric preserving Kerr symmetries , Phys. Rev. D 101
Original
2002
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory , JHEP 07
Original
2004
Earlier work this paper cites.
J. M. Cline, S. Jeon and G. D. Moore, The Phantom menaced: Constraints on low-energy effective ghosts , Phys. Rev. D 70
2004
Earlier work this paper cites.
Cambridge University Press, 6, 2005
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations · 2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Earlier work this paper cites.
E. Pajer, D. Stefanyszyn and J. Supel, The Boostless Bootstrap: Amplitudes without Lorentz boosts , JHEP 12
Original
2007
Earlier work this paper cites.

Similar

B. Grinstein, D. O’Connell and M. B. Wise, Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model , Phys. Rev. D 79
Original
2009
Cited alongside, same era.
S. Caron-Huot and V. Van Duong, Extremal Effective Field Theories , 2011.02957
Original
2011
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A. J. Tolley, Z.-Y. Wang and S.-Y. Zhou, New positivity bounds from full crossing symmetry , 2011.02400
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2011
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B. Bellazzini, J. Elias Miró, R. Rattazzi, M. Riembau and F. Riva, Positive Moments for Scattering Amplitudes , 2011.00037
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2011
Cited alongside, same era.
T. Trott, Causality, Unitarity and Symmetry in Effective Field Theory , 2011.10058

Then

C. de Rham, S. Melville, A. J. Tolley and S.-Y. Zhou, Positivity bounds for scalar field theories , Phys. Rev. D 96
Original
2017
Later among the works it cites.
S. Caron-Huot, Analyticity in Spin in Conformal Theories , JHEP 09
Original
2017
Later among the works it cites.
J. Ellis, TikZ-Feynman: Feynman diagrams with TikZ , Comput. Phys. Commun. 210
Original
2017
Later among the works it cites.
C. de Rham, S. Melville, A. J. Tolley and S.-Y. Zhou, UV complete me: Positivity Bounds for Particles with Spin , JHEP 03
Original
2018
Later among the works it cites.
D. Simmons-Duffin, D. Stanford and E. Witten, A spacetime derivation of the Lorentzian OPE inversion formula , JHEP 07

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2022

Causality constraints on corrections to Einstein gravity

Caron-Huot, Simon, Li, Yue-Zhou, Parra-Martinez, Julio et al.

Understand

We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories.

Together, causality and unitarity imply dispersion relations that connect low-energy observables to high-energy data.
Using such dispersion relations, we derive two-sided bounds on gravitational Wilson coefficients in terms of the mass $M$ of new higher-spin states.
Our bounds imply that gravitational interactions must shut off uniformly in the limit $G \to 0$, and prove the scaling with $M$ expected from dimensional analysis (up to an infrared logarithm).

Built on

M. Kologlu, P. Kravchuk, D. Simmons-Duffin and A. Zhiboedov, Shocks, Superconvergence, and a Stringy Equivalence Principle , 1904.05905
Original
1904
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and A. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities , JHEP 11
Original
1906
Earlier work this paper cites.
J. F. Donoghue and G. Menezes, Unitarity, stability and loops of unstable ghosts , Phys. Rev. D 100
Original
1908
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
Original
1909
Earlier work this paper cites.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A. J. Tolley, Positivity Constraints on Interacting Spin-2 Fields , JHEP 03
Original
1910
Earlier work this paper cites.
S. D. Chowdhury, A. Gadde, T. Gopalka, I. Halder, L. Janagal and S. Minwalla, Classifying and constraining local four photon and four graviton S-matrices , JHEP 02
Original
1910
Earlier work this paper cites.
N. Sennett, R. Brito, A. Buonanno, V. Gorbenko and L. Senatore, Gravitational-Wave Constraints on an Effective Field-Theory Extension of General Relativity , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
M. Gell-Mann, M. L. Goldberger and W. E. Thirring, Use of causality conditions in quantum theory , Phys. Rev. 95
1954
Earlier work this paper cites.
A. Martin, Unitarity and high-energy behavior of scattering amplitudes , Phys. Rev. 129
1963
Earlier work this paper cites.
S. Weinberg, Photons and Gravitons in S S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass , Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations , Phys. Rev. 138
1965
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Negative Metric and the Unitarity of the S Matrix , Nucl. Phys. B 9
1969
Earlier work this paper cites.
R. E. Cutkosky, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, A non-analytic S matrix , Nucl. Phys. B 12
1969
Earlier work this paper cites.
American Math. Soc., Providence, RI, 1987
D. Eisenbud and J. Harris, On varieties of minimal degree (a centennial account) , in Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), 3 to 13, Proc. Sympos. Pure Math., 46, Part 1 · 1987
Earlier work this paper cites.
S. Gao and R. M. Wald, Theorems on gravitational time delay and related issues , Class. Quant. Grav. 17
2000
Earlier work this paper cites.
Z. Carson and K. Yagi, Asymptotically flat, parameterized black hole metric preserving Kerr symmetries , Phys. Rev. D 101
Original
2002
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory , JHEP 07
Original
2004
Earlier work this paper cites.
J. M. Cline, S. Jeon and G. D. Moore, The Phantom menaced: Constraints on low-energy effective ghosts , Phys. Rev. D 70
2004
Earlier work this paper cites.
Cambridge University Press, 6, 2005
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations · 2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Earlier work this paper cites.
E. Pajer, D. Stefanyszyn and J. Supel, The Boostless Bootstrap: Amplitudes without Lorentz boosts , JHEP 12
Original
2007
Earlier work this paper cites.

Similar

B. Grinstein, D. O’Connell and M. B. Wise, Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model , Phys. Rev. D 79
Original
2009
Cited alongside, same era.
S. Caron-Huot and V. Van Duong, Extremal Effective Field Theories , 2011.02957
Original
2011
Cited alongside, same era.
A. J. Tolley, Z.-Y. Wang and S.-Y. Zhou, New positivity bounds from full crossing symmetry , 2011.02400
Original
2011
Cited alongside, same era.
B. Bellazzini, J. Elias Miró, R. Rattazzi, M. Riembau and F. Riva, Positive Moments for Scattering Amplitudes , 2011.00037
Original
2011
Cited alongside, same era.
T. Trott, Causality, Unitarity and Symmetry in Effective Field Theory , 2011.10058

Then

C. de Rham, S. Melville, A. J. Tolley and S.-Y. Zhou, Positivity bounds for scalar field theories , Phys. Rev. D 96
Original
2017
Later among the works it cites.
S. Caron-Huot, Analyticity in Spin in Conformal Theories , JHEP 09
Original
2017
Later among the works it cites.
J. Ellis, TikZ-Feynman: Feynman diagrams with TikZ , Comput. Phys. Commun. 210
Original
2017
Later among the works it cites.
C. de Rham, S. Melville, A. J. Tolley and S.-Y. Zhou, UV complete me: Positivity Bounds for Particles with Spin , JHEP 03
Original
2018
Later among the works it cites.
D. Simmons-Duffin, D. Stanford and E. Witten, A spacetime derivation of the Lorentzian OPE inversion formula , JHEP 07

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

2011

Cited alongside, same era.

Z.-Y. Wang, C. Zhang and S.-Y. Zhou, Generalized elastic positivity bounds on interacting massive spin-2 theories , JHEP 04

Original

2011

Cited alongside, same era.

A. Hebbar, D. Karateev and J. Penedones, Spinning S-matrix Bootstrap in 4d , 2011.11708

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2011

Cited alongside, same era.

T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Modified Gravity and Cosmology , Phys. Rept. 513

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2012

Cited alongside, same era.

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2012

Cited alongside, same era.

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2012

Cited alongside, same era.

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Original

2012

Cited alongside, same era.

R. P. Woodard, Ostrogradsky’s theorem on Hamiltonian instability , Scholarpedia 10

Original

2015

Cited alongside, same era.

Original

2018