Abstract
We identify classical string solutions which directly give the classical part of the strong coupling pomeron intercept. The relevant solution is a close cousin of the GKP folded string, which is not surprising given the known relation with twist-2 operators. Our methods are applicable, however, also for nonzero conformal spin where we do not have a clear link with anomalous dimensions of a concrete class of operators. We analyze the BFKL folded string from the algebraic curve perspective and investigate its possible particle content.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. Lipatov, Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories, Sov. J. Nucl. Phys. 23 (1976) 338 [Yad. Fiz. 23 (1976) 642] [INSPIRE].
E. Kuraev, L. Lipatov and V.S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Sov. Phys. JETP 45 (1977) 199 [Zh. Eksp. Teor. Fiz. 72 (1977) 377] [INSPIRE].
I. Balitsky and L. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [Yad. Fiz. 28 (1978) 1597] [INSPIRE].
A. Kotikov and L. Lipatov, DGLAP and BFKL equations in the \( \mathcal{N} \) = 4 supersymmetric gauge theory, Nucl. Phys. B 661 (2003) 19 [Erratum ibid. B 685 (2004) 405] [hep-ph/0208220] [INSPIRE].
R. Janik and R.B. Peschanski, High-energy scattering and the AdS/CFT correspondence, Nucl. Phys. B 565 (2000) 193 [hep-th/9907177] [INSPIRE].
R.C. Brower, J. Polchinski, M.J. Strassler and C.-I. Tan, The Pomeron and gauge/string duality, JHEP 12 (2007) 005 [hep-th/0603115] [INSPIRE].
M.S. Costa, V. Goncalves and J. Penedones, Conformal Regge theory, JHEP 12 (2012) 091 [arXiv:1209.4355] [INSPIRE].
A. Kotikov and L. Lipatov, Pomeron in the \( \mathcal{N} \) = 4 supersymmetric gauge model at strong couplings, Nucl. Phys. B 874 (2013) 889 [arXiv:1301.0882] [INSPIRE].
A. Kotikov, L. Lipatov, A. Rej, M. Staudacher and V. Velizhanin, Dressing and wrapping, J. Stat. Mech. 0710 (2007) P10003 [arXiv:0704.3586] [INSPIRE].
Z. Bajnok, R.A. Janik and T. Lukowski, Four loop twist two, BFKL, wrapping and strings, Nucl. Phys. B 816 (2009) 376 [arXiv:0811.4448] [INSPIRE].
T. Lukowski, A. Rej and V. Velizhanin, Five-Loop Anomalous Dimension of Twist-Two Operators, Nucl. Phys. B 831 (2010) 105 [arXiv:0912.1624] [INSPIRE].
R.A. Janik, Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation, JHEP 11 (2013) 153 [arXiv:1309.2844] [INSPIRE].
S. Frolov and A.A. Tseytlin, Multispin string solutions in AdS 5 × S 5, Nucl. Phys. B 668 (2003) 77 [hep-th/0304255] [INSPIRE].
L. Cornalba, Eikonal methods in AdS/CFT: Regge theory and multi-reggeon exchange, arXiv:0710.5480 [INSPIRE].
R.C. Brower, M.J. Strassler and C.-I. Tan, On The Pomeron at Large ’t Hooft Coupling, JHEP 03 (2009) 092 [arXiv:0710.4378] [INSPIRE].
I. Balitsky and G.A. Chirilli, NLO evolution of color dipoles in \( \mathcal{N} \) = 4 SYM, Nucl. Phys. B 822 (2009) 45 [arXiv:0903.5326] [INSPIRE].
S. Gubser, I. Klebanov and A.M. Polyakov, A Semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].
A. Tseytlin, Review of AdS/CFT Integrability, Chapter II.1: Classical AdS 5 × S 5 string solutions, Lett. Math. Phys. 99 (2012) 103 [arXiv:1012.3986] [INSPIRE].
V. Kazakov, A. Marshakov, J. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT, JHEP 05 (2004) 024 [hep-th/0402207] [INSPIRE].
V. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT, JHEP 10 (2004) 060 [hep-th/0410105] [INSPIRE].
G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256] [INSPIRE].
N. Beisert and M. Staudacher, Long-range \( \mathfrak{p}\mathfrak{s}\mathfrak{u} \)(2, 2|4) Bethe Ansatze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190] [INSPIRE].
N. Beisert, V. Dippel and M. Staudacher, A Novel long range spin chain and planar \( \mathcal{N} \) = 4 super Yang-Mills, JHEP 07 (2004) 075 [hep-th/0405001] [INSPIRE].
R.A. Janik and P. Laskos-Grabowski, Surprises in the AdS algebraic curve constructions: Wilson loops and correlation functions, Nucl. Phys. B 861 (2012) 361 [arXiv:1203.4246] [INSPIRE].
F. Olver et al. eds., NIST Handbook of Mathematical Functions, Cambridge University Press (2010).
N. Gromov, D. Serban, I. Shenderovich and D. Volin, Quantum folded string and integrability: From finite size effects to Konishi dimension, JHEP 08 (2011) 046 [arXiv:1102.1040] [INSPIRE].
R. Roiban and A. Tseytlin, Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet, Nucl. Phys. B 848 (2011) 251 [arXiv:1102.1209] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1311.2302
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Janik, R.A., Laskos-Grabowski, P. Approaching the BFKL pomeron via integrable classical solutions. J. High Energ. Phys. 2014, 74 (2014). https://doi.org/10.1007/JHEP01(2014)074
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2014)074