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D. R. Yennie, S. C. Frautschi and H. Suura, The infrared divergence phenomena and high-energy processes , Annals Phys. 13
1961
Earlier work this paper cites.
R. Sachs, Asymptotic symmetries in gravitational theory , Phys. Rev. 128
1962
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
S. Ferrara and G. Parisi, Conformal covariant correlation functions , Nucl. Phys. B42
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, The shadow operator formalism for conformal algebra. vacuum expectation values and operator products , Lett. Nuovo Cim. 4S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo and G. Parisi, Nonequivalence between conformal covariant wilson expansion in euclidean and minkowski space , Lett. Nuovo Cim. 5S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function , Nucl. Phys. B49
1973
Earlier work this paper cites.
S. W. Hawking and W. Israel, 1987
C. Crnkovic and E. Witten, Covariant description of canonical formalism in geometrical theories , in Three Hundred Years of Gravitation · 1987
Earlier work this paper cites.
J. Lee and R. M. Wald, Local symmetries and constraints , J. Math. Phys. 31
1990
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3) , JHEP 04
Original
1999
Earlier work this paper cites.
R. M. Wald and A. Zoupas, A General definition of ’conserved quantities’ in general relativity and other theories of gravity , Phys. Rev. D61
2000
Earlier work this paper cites.

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2018

Conformally Soft Photons and Gravitons

Donnay, Laura, Puhm, Andrea, Strominger, Andrew

Understand

The four-dimensional $S$-matrix is reconsidered as a correlator on the celestial sphere at null infinity.

Asymptotic particle states can be characterized by the point at which they enter or exit the celestial sphere as well as their $SL(2,\mathbb C)$ Lorentz quantum numbers: namely their conformal scaling dimension and spin $h\pm \bar h$ instead of the energy and momentum.
This characterization precludes the notion of a soft particle whose energy is taken to zero.
We propose it should be replaced by the notion of a conformally soft particle with $h=0$ or $\bar h=0$.

Built on

D. R. Yennie, S. C. Frautschi and H. Suura, The infrared divergence phenomena and high-energy processes , Annals Phys. 13
1961
Earlier work this paper cites.
R. Sachs, Asymptotic symmetries in gravitational theory , Phys. Rev. 128
1962
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
S. Ferrara and G. Parisi, Conformal covariant correlation functions , Nucl. Phys. B42
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, The shadow operator formalism for conformal algebra. vacuum expectation values and operator products , Lett. Nuovo Cim. 4S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo and G. Parisi, Nonequivalence between conformal covariant wilson expansion in euclidean and minkowski space , Lett. Nuovo Cim. 5S2
1972
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi and R. Gatto, Covariant expansion of the conformal four-point function , Nucl. Phys. B49
1973
Earlier work this paper cites.
S. W. Hawking and W. Israel, 1987
C. Crnkovic and E. Witten, Covariant description of canonical formalism in geometrical theories , in Three Hundred Years of Gravitation · 1987
Earlier work this paper cites.
J. Lee and R. M. Wald, Local symmetries and constraints , J. Math. Phys. 31
1990
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3) , JHEP 04
Original
1999
Earlier work this paper cites.
R. M. Wald and A. Zoupas, A General definition of ’conserved quantities’ in general relativity and other theories of gravity , Phys. Rev. D61
2000
Earlier work this paper cites.