Built on

D. Correa, J. Maldacena, and A. Sever, The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
Original
1913
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent, and D. Volin, Quantum spectral curve for A d S 5 / C F T 4 AdS_{5}/CFT_{4}
Original
1939
Earlier work this paper cites.
E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Multi - Reggeon Processes in the Yang-Mills Theory
1976
Earlier work this paper cites.
E. Kuraev, L. Lipatov, and V. S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories
1977
Earlier work this paper cites.
I. Balitsky and L. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics
1978
Earlier work this paper cites.
T. Jaroszewicz, Gluonic Regge Singularities and Anomalous Dimensions in QCD
1982
Earlier work this paper cites.
L. Lipatov, The Bare Pomeron in Quantum Chromodynamics
1986
Earlier work this paper cites.
L. D. Faddeev and G. P. Korchemsky, High-energy QCD as a completely integrable model
1995
Earlier work this paper cites.
L. Lipatov, Gauge invariant effective action for high-energy processes in QCD
1995
Earlier work this paper cites.
I. Balitsky, Operator expansion for high-energy scattering
1996
Earlier work this paper cites.
V. S. Fadin and L. Lipatov, BFKL pomeron in the next-to-leading approximation
1998
Earlier work this paper cites.
A. Kotikov and L. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
2000
Earlier work this paper cites.

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H. De Vega and L. Lipatov, Interaction of reggeized gluons in the Baxter-Sklyanin representation
2001
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2003
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Then

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Original
2010
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Original
2010
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N. Gromov, V. Kazakov, S. Leurent, and Z. Tsuboi, Wronskian Solution for AdS/CFT Y-system
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2011
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N. Beisert, C. Ahn, L. F. Alday, Z. Bajnok, J. M. Drummond, et al., Review of AdS/CFT Integrability: An Overview
Original
2012
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D. Correa, J. Henn, J. Maldacena, and A. Sever, An exact formula for the radiation of a moving quark in N=4 super Yang Mills

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2014

QCD Pomeron from AdS/CFT Quantum Spectral Curve

Alfimov, Mikhail, Gromov, Nikolay, Kazakov, Vladimir

Understand

Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of ${\cal N}=4$ Super--Yang-Mills theory we analytically continue the scaling dimensions of twist-2 operators and reproduce the so-called pomeron eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation.

Furthermore, we recovered the Faddeev-Korchemsky Baxter equation for Lipatov's spin chain and also found its generalization for the next-to-leading order in the BFKL scaling.
Our results provide a non-trivial test of QSC describing the exact spectrum in planar ${\cal N}=4$ SYM at infinitely many loops for a highly nontrivial non-BPS quantity and also opens a way for a systematic expansion in the BFKL regime.

Built on

D. Correa, J. Maldacena, and A. Sever, The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
Original
1913
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent, and D. Volin, Quantum spectral curve for A d S 5 / C F T 4 AdS_{5}/CFT_{4}
Original
1939
Earlier work this paper cites.
E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Multi - Reggeon Processes in the Yang-Mills Theory
1976
Earlier work this paper cites.
E. Kuraev, L. Lipatov, and V. S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories
1977
Earlier work this paper cites.
I. Balitsky and L. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics
1978
Earlier work this paper cites.
T. Jaroszewicz, Gluonic Regge Singularities and Anomalous Dimensions in QCD
1982
Earlier work this paper cites.
L. Lipatov, The Bare Pomeron in Quantum Chromodynamics
1986
Earlier work this paper cites.
L. D. Faddeev and G. P. Korchemsky, High-energy QCD as a completely integrable model
1995
Earlier work this paper cites.
L. Lipatov, Gauge invariant effective action for high-energy processes in QCD
1995
Earlier work this paper cites.
I. Balitsky, Operator expansion for high-energy scattering
1996
Earlier work this paper cites.
V. S. Fadin and L. Lipatov, BFKL pomeron in the next-to-leading approximation
1998
Earlier work this paper cites.
A. Kotikov and L. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
2000
Earlier work this paper cites.

Similar

H. De Vega and L. Lipatov, Interaction of reggeized gluons in the Baxter-Sklyanin representation
2001
Cited alongside, same era.
S. E. Derkachov, G. Korchemsky, and A. Manashov, Noncompact Heisenberg spin magnets from high-energy QCD: 1. Baxter Q operator and separation of variables
2001
Cited alongside, same era.
S. E. Derkachov, G. Korchemsky, J. Kotanski, and A. Manashov, Noncompact Heisenberg spin magnets from high-energy QCD. 2. Quantization conditions and energy spectrum
2002
Cited alongside, same era.
A. Kotikov and L. Lipatov, DGLAP and BFKL equations in the N=4 supersymmetric gauge theory
2003
Cited alongside, same era.
S. E. Derkachov, G. Korchemsky, and A. Manashov, Noncompact Heisenberg spin magnets from high-energy QCD. 3. Quasiclassical approach
2003
Cited alongside, same era.