Built on

V. N. Gribov, Possible Asymptotic Behavior of Elastic Scattering , JETP Lett. 41
1961
Earlier work this paper cites.
J. Bros, H. Epstein and V. Glaser, A proof of the crossing property for two-particle amplitudes in general quantum field theory , Commun. Math. Phys. 1
1965
Earlier work this paper cites.
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory , Nucl. Phys. B241
1984
Earlier work this paper cites.
S. Donnachie, H. G. Dosch, O. Nachtmann and P. Landshoff, Pomeron physics and QCD , Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 19
2002
Earlier work this paper cites.
J. Polchinski and M. J. Strassler, Deep inelastic scattering and gauge / string duality , JHEP 05
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion , Nucl. Phys. B678
2004
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.
R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT , JHEP 12
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory , JHEP 10
Original
2009
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, UK, 2009
P. D. B. Collins, An Introduction to Regge Theory and High-Energy Physics · 2009
Earlier work this paper cites.
E. Ardonne and G. Sierra, Chiral correlators of the Ising conformal field theory , J. Phys. A43
Original
2010
Earlier work this paper cites.
J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes , JHEP 03
Original
2011
Earlier work this paper cites.

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2017

Analyticity in Spin in Conformal Theories

Caron-Huot, Simon

Understand

Conformal theory correlators are characterized by the spectrum and three- point functions of local operators.

We present a formula which extracts this data as an analytic function of spin.
In analogy with a classic formula due to Froissart and Gribov, it is sensitive only to an "imaginary part" which appears after analytic continuation to Lorentzian signature, and it converges thanks to recent bounds on the high-energy Regge limit.
At large spin, substituting in cross-channel data, the formula yields 1/J expansions with controlled errors.

Built on

V. N. Gribov, Possible Asymptotic Behavior of Elastic Scattering , JETP Lett. 41
1961
Earlier work this paper cites.
J. Bros, H. Epstein and V. Glaser, A proof of the crossing property for two-particle amplitudes in general quantum field theory , Commun. Math. Phys. 1
1965
Earlier work this paper cites.
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory , Nucl. Phys. B241
1984
Earlier work this paper cites.
S. Donnachie, H. G. Dosch, O. Nachtmann and P. Landshoff, Pomeron physics and QCD , Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 19
2002
Earlier work this paper cites.
J. Polchinski and M. J. Strassler, Deep inelastic scattering and gauge / string duality , JHEP 05
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion , Nucl. Phys. B678
2004
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.
R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT , JHEP 12
Original
2008
Earlier work this paper cites.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory , JHEP 10
Original
2009
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, UK, 2009
P. D. B. Collins, An Introduction to Regge Theory and High-Energy Physics · 2009
Earlier work this paper cites.
E. Ardonne and G. Sierra, Chiral correlators of the Ising conformal field theory , J. Phys. A43
Original
2010
Earlier work this paper cites.
J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes , JHEP 03
Original
2011
Earlier work this paper cites.