Taming higher-derivative interactions and bootstrapping gravity with soft theorems

M. Fierz and W. Pauli, “On relativistic wave equations for particles of arbitrary spin in an electromagnetic field,” Proc. Roy. Soc. Lond. A173

1939

Earlier work this paper cites.

R. H. Kraichnan, “Quantum theory of the linear gravitational field,” unpublished B.S. thesis, Massachusetts Institute of Technology (1947)

1947

Earlier work this paper cites.

S. N. Gupta, “Gravitation and Electromagnetism,” Phys. Rev. 96

1954

Earlier work this paper cites.

R. H. Kraichnan, “Special-Relativistic Derivation of Generally Covariant Gravitation Theory,” Phys. Rev. 98

1955

Earlier work this paper cites.

S. N. Gupta, “Einstein’s and Other Theories of Gravitation,” Reviews of Modern Physics 29

1957

Earlier work this paper cites.

J. S. R. Chisholm, “Change of variables in quantum field theories,” Nucl. Phys. 26

1961

Earlier work this paper cites.

S. Kamefuchi, L. O’Raifeartaigh, and A. Salam, “Change of variables and equivalence theorems in quantum field theories,” Nucl. Phys. 28

1961

Earlier work this paper cites.

E. R. Huggins, Quantum mechanics of the interaction of gravity with electrons: theory of a spin-two field coupled to energy , Ph.D. thesis , Caltech (1962)

1962

Earlier work this paper cites.

S. Weinberg, “Photons and Gravitons in s Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135

1964

Earlier work this paper cites.

R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The analytic S-matrix (Cambridge Univ. Press, Cambridge, 1966)

1966

Earlier work this paper cites.

S. Deser, “Selfinteraction and gauge invariance,” Gen. Rel. Grav. 1

1970

Earlier work this paper cites.

G. ’t Hooft and M. J. G. Veltman, “DIAGRAMMAR,” Proceedings, Particle Interactions at Very High Energies (Part A): Leuven, Belgium, August 12-25, 1973 , NATO Sci. Ser. B 4

1974

Earlier work this paper cites.

S. J. Parke and T. R. Taylor, “Amplitude for n n -gluon scattering,” Phys. Rev. Lett. 56

1986

Earlier work this paper cites.

R. M. Wald, “Spin-2 Fields and General Covariance,” Phys. Rev. D33

1986

Earlier work this paper cites.

A. A. Tseytlin, “Vector field effective action in the open superstring theory,” Nuclear Physics B 276

1986

Earlier work this paper cites.

C. Cutler and R. M. Wald, “A New Type of Gauge Invariance for a Collection of Massless Spin-2 Fields. 1. Existence and Uniqueness,” Class. Quant. Grav. 4

1987

Earlier work this paper cites.

R. M. Wald, “A New Type of Gauge Invariance for a Collection of Massless Spin-2 Fields. 2. Geometrical Interpretation,” Class. Quant. Grav. 4

1987

Earlier work this paper cites.

K. R. Heiderich and W. Unruh, “Spin-2 Fields, General Covariance, and Conformal Invariance,” Phys. Rev. D38

1988

Earlier work this paper cites.

E. P. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group,” Proceedings, International Symposium on Spacetime Symmetries: College Park, Maryland, May 24-28, 1988 , Annals Math. 40

1989

Earlier work this paper cites.

K. R. Heiderich and W. G. Unruh, “Nonlinear, noncovariant spin two theories,” Phys. Rev. D42

1990

Earlier work this paper cites.

R. P. Feynman, Feynman lectures on gravitation , edited by F. B. Morinigo, W. G. Wagner, and B. Hatfield (1996)

1996

Earlier work this paper cites.

E. van Eijk, R. Kleiss, and A. Lazopoulos, “Counting loop diagrams: Computational complexity of higher-order amplitude evaluation,” Eur. Phys. J. C36

2004

Cited alongside, same era.

Freddy Cachazo, Peter Svrcek, and Edward Witten, “MHV vertices and tree amplitudes in gauge theory,” JHEP 09

2004

Cited alongside, same era.

J. Bedford, A. Brandhuber, B. Spence, and G. Travaglini, “A recursion relation for gravity amplitudes,” Nuclear Physics B 721

2005

Cited alongside, same era.

E. Alvarez, D. Blas, J. Garriga, and E. Verdaguer, “Transverse Fierz-Pauli symmetry,” Nucl. Phys. B756

2006

Cited alongside, same era.

P. Benincasa and F. Cachazo, “Consistency Conditions on the S-Matrix of Massless Particles,” (2007), arXiv:0705.4305 [hep-th]

Original

2007

Cited alongside, same era.

T. Ortin, Gravity and Strings , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2015)

2015

Later among the works it cites.

H. Elvang and Y.-t. Huang, Scattering Amplitudes in Gauge Theory and Gravity (Cambridge University Press, 2015) arXiv:1308.1697 [hep-th]

Original

2015

Later among the works it cites.

R. Carballo-Rubio, “Longitudinal diffeomorphisms obstruct the protection of vacuum energy,” Phys. Rev. D91

Original

2015

Later among the works it cites.

D. J Burger, G. F. R. Ellis, J. Murugan, and A. Weltman, “The KLT relations in unimodular gravity,” (2015), arXiv:1511.08517 [hep-th]

Original

2015

Later among the works it cites.

M. Bianchi, S. He, Y.-t. Huang, and C. Wen, “More on soft theorems: Trees, loops, and strings,” Phys. Rev. D 92