Built on

S. Ferrara, A. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Non-Hamiltonian Approach to the Quantum Field Theory at Small Distances,” Zh.Eksp.Teor.Fiz
1973
Earlier work this paper cites.
R. B. Dingle, “Asymptotic expansions:their derivation and interpretation, (Academic Press, 1973).,”
1973
Earlier work this paper cites.
B. L. J. Braaksma and D. Stark, “A darboux-type theorem for slowly varying functions,” J. Comb. Theory Ser. A
1996
Earlier work this paper cites.
A. Petkou, “Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model,” Annals Phys
1996
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, “A Note on the analyticity of AdS scalar exchange graphs in the crossed channel,” Phys.Lett
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, “Aspects of the conformal operator product expansion in AdS / CFT correspondence,” Adv.Theor.Math.Phys
2002
Earlier work this paper cites.
J. Polchinski and M. J. Strassler, “Deep inelastic scattering and gauge / string duality,” JHEP
2003
Earlier work this paper cites.
V. Braun, G. Korchemsky, and D. Mueller, “The Uses of conformal symmetry in QCD,” Prog.Part.Nucl.Phys
Original
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP
Original
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion,” JHEP
Original
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa, “Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions,” JHEP
2007
Earlier work this paper cites.

Similar

L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa, “Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions,” Nucl. Phys
2007
Cited alongside, same era.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Cited alongside, same era.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal Methods in AdS/CFT: BFKL Pomeron at Weak Coupling,” JHEP
Original
2008
Cited alongside, same era.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
Original
2009
Cited alongside, same era.
I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, “Holography from Conformal Field Theory,” JHEP

Then

S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, et al
Original
2012
Later among the works it cites.
S. El-Showk and K. Papadodimas, “Emergent Spacetime and Holographic CFTs,” JHEP
Original
2012
Later among the works it cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP
Original
2012
Later among the works it cites.
F. Gliozzi, “More constraining conformal bootstrap,” Phys.Rev.Lett
Original
2013
Later among the works it cites.
A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2015

Eikonalization of Conformal Blocks

Fitzpatrick, A. Liam, Kaplan, Jared, Walters, Matthew T. et al.

Understand

Classical field configurations such as the Coulomb potential and Schwarzschild solution are built from the t-channel exchange of many light degrees of freedom.

We study the CFT analog of this phenomenon, which we term the `eikonalization' of conformal blocks.
We show that when an operator $T$ appears in the OPE $\mathcal{O}(x) \mathcal{O}(0)$, then the large spin $\ell$ Fock space states $[TT \cdots T]_{\ell}$ also appear in this OPE with a computable coefficient.
The sum over the exchange of these Fock space states in an $\langle \mathcal{O} \mathcal{O} \mathcal{O} \mathcal{O} \rangle$ correlator build the classical `$T$ field' in the dual AdS description.

Built on

S. Ferrara, A. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Non-Hamiltonian Approach to the Quantum Field Theory at Small Distances,” Zh.Eksp.Teor.Fiz
1973
Earlier work this paper cites.
R. B. Dingle, “Asymptotic expansions:their derivation and interpretation, (Academic Press, 1973).,”
1973
Earlier work this paper cites.
B. L. J. Braaksma and D. Stark, “A darboux-type theorem for slowly varying functions,” J. Comb. Theory Ser. A
1996
Earlier work this paper cites.
A. Petkou, “Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model,” Annals Phys
1996
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, “A Note on the analyticity of AdS scalar exchange graphs in the crossed channel,” Phys.Lett
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, “Aspects of the conformal operator product expansion in AdS / CFT correspondence,” Adv.Theor.Math.Phys
2002
Earlier work this paper cites.
J. Polchinski and M. J. Strassler, “Deep inelastic scattering and gauge / string duality,” JHEP
2003
Earlier work this paper cites.
V. Braun, G. Korchemsky, and D. Mueller, “The Uses of conformal symmetry in QCD,” Prog.Part.Nucl.Phys
Original
2003
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP
Original
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion,” JHEP
Original
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa, “Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions,” JHEP
2007
Earlier work this paper cites.