A generalized scaling function for AdS/CFT

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 7, 2008, Pages

  Freyhult, Lisa ^a,b   Rej, Adam ^a   Staudacher, Matthias ^a,c  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UPPSALA UNIVERSITY   (Sweden)

^c ISAAC NEWTON INSTITUTE FOR MATHEMATICAL SCIENCES   (United Kingdom)

Author keywords

Integrable quantum field theory; Integrable spin chains (vertex models); Quantum integrability (Bethe ansatz)

Indexed keywords

EID: 51349146610     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/07/P07015     Document Type: Article

References (53)

1. Collins J C 1989 Sudakov form factors Adv. Ser. Direct. High Energy Phys. 5 573 [hep-ph/0312336]
2. Korchemsky G P 1989 Asymptotics of the Altarelli-Parisi-Lipatov evolution kernels of parton distributions Mod. Phys. Lett. A 4 1257
3. Korchemsky G P and Marchesini G 1993 Structure function for large x and renormalization of Wilson loop Nucl. Phys. B 406 225 [hep-ph/9210281]
4. Belitsky A V, Gorsky A S and Korchemsky G P 2006 Logarithmic scaling in gauge/string correspondence Nucl. Phys. B 748 24 [hep-th/0601112]
5. Beisert N, Kristjansen C and Staudacher M 2003 The dilatation operator of super Yang-Mills theory Nucl. Phys. B 664 131 [hep-th/0303060]
6. Beisert N and Staudacher M 2005 Long-range Bethe ansätze for gauge theory and strings Nucl. Phys. B 727 1 [hep-th/0504190]
7. Eden B and Staudacher M 2006 Integrability and transcendentality J. Stat. Mech. P11014 [hep-th/0603157]
8. Beisert N, Eden B and Staudacher M 2007 Transcendentality and crossing J. Stat. Mech. P01021 [hep-th/0610251]
9. Bern Z, Czakon M, Dixon L J, Kosower D A and Smirnov V A 2007 The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory Phys. Rev. D 75 085010 [hep-th/0610248]
10. Cachazo F, Spradlin M and Volovich A 2007 Four-loop cusp anomalous dimension from obstructions Phys. Rev. D 75 10501 [hep-th/0612309]
11. Bern Z, Carrasco J J M, Johansson H and Kosower D A 2007 Maximally supersymmetric planar Yang-Mills amplitudes at five loops Preprint [hep-th] 0705.1864
12. Kotikov A V and Lipatov L N 2007 On the highest transcendentality in SUSY Nucl. Phys. B 769 217 [hep-th/0611204]
13. Benna M K, Benvenuti S, Klebanov I R and Scardicchio A 2007 A test of the AdS/CFT correspondence using high-spin operators Phys. Rev. Lett. 98 131603 [hep-th/0611135]
14. Alday L F, Arutyunov G, Benna M K, Eden B and Klebanov I R 2007 On the strong coupling scaling dimension of high spin operators J. High Energy Phys. JHEP04(2007)082 [hep-th/0702028]
15. Kostov I, Serban D and Volin D 2008 Strong coupling limit of Bethe ansatz equations Nucl. Phys. B 789 413 [hep-th/0703031]
16. Beccaria M, De Angelis G F and Forini V 2007 The scaling function at strong coupling from the quantum string Bethe equations J. High Energy Phys. JHEP04(2007)066 [hep-th/0703131]
17. Basso B, Korchemsky G P and Kotański J 2008 Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling Phys. Rev. Lett. 100 091601 [hep-th] 0708.3933
18. Eden B Talk at the 12th Claude Itzykson Mtg: Integrability in Gauge and String Theory (Paris, June 2007) unpublished http://www-spht.cea.fr/Meetings/ Rencitz2007/eden.pdf
19. Gubser S S, Klebanov I R and Polyakov A M 2002 A semi-classical limit of the gauge/string correspondence Nucl. Phys. B 636 99 [hep-th/0204051]
20. 5 J. High Energy Phys. JHEP06(2002)007 [hep-th/0204226]
21. Beisert N, Frolov S, Staudacher M and Tseytlin A A 2003 Precision spectroscopy of AdS/CFT J. High Energy Phys. JHEP10(2003)037 [hep-th/0308117]
22. 5 superstring J. High Energy Phys. JHEP07(2007)056 [hep-th] 0704.3638
23. Roiban R and Tseytlin A A 2007 Strong-coupling expansion of cusp anomaly from quantum superstring J. High Energy Phys. JHEP11(2007)016 [hep-th] 0709.0681
24. Kotikov A V, Lipatov L N, Rej A, Staudacher M and Velizhanin V N 2007 Dressing and wrapping J. Stat. Mech. P10003 [hep-th] 0704.3586
25. Frolov S, Tirziu A and Tseytlin A A 2007 Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT Nucl. Phys. B 766 232 [hep-th/0611269]
26. Alday L F and Maldacena J M 2007 Comments on operators with large spin J. High Energy Phys. JHEP11(2007)019 [hep-th] 0708.0672
27. Rej A, Staudacher M and Zieme S 2007 Nesting and dressing J. Stat. Mech. P08006 [hep-th/0702151]
28. Roiban R and Tseytlin A A 2008 Spinning superstrings at 2-loops: strong-coupling corrections to dimensions of large-twist SYM operators Phys. Rev. D 77 066006 [hep-th] 0712.2479
29. Casteill P Y and Kristjansen C 2007 The strong coupling limit of the scaling function from the quantum string Bethe ansatz Nucl. Phys. B 785 1 [hep-th] 0705.0890
30. Arutyunov G, Frolov S and Staudacher M 2004 Bethe ansatz for quantum strings J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
31. 5 superstring Phys. Rev. D 69 046002 [hep-th/0305116]
32. Kazakov V A, Marshakov A, Minahan J A and Zarembo K 2004 Classical/quantum integrability in AdS/CFT J. High Energy Phys. JHEP05(2004)024 [hep-th/0402207]
33. 5 Commun. Math. Phys. 263 659 [hep-th/0502226]
34. Hernández R and López E 2006 Quantum corrections to the string Bethe ansatz J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
35. Freyhult L and Kristjansen C 2006 A universality test of the quantum string Bethe ansatz Phys. Lett. B 638 258 [hep-th/0604069]
36. Gromov N and Vieira P 2007 Complete 1-loop test of AdS/CFT Preprint [hep-th] 0709.3487
37. Dorey N and Vicedo B 2006 On the dynamics of finite-gap solutions in classical string theory J. High Energy Phys. JHEP07(2006)014 [hep-th/0601194]
38. Feverati G, Fioravanti D, Grinza P and Rossi M 2006 On the finite size corrections of anti-ferromagnetic anomalous dimensions in SYM J. High Energy Phys. JHEP05(2006)068 [hep-th/0602189]
39. Feverati G, Fioravanti D, Grinza P and Rossi M 2007 Hubbard's adventures in SYM-land? Some non-perturbative considerations on finite length operators J. Stat. Mech. P02001 [hep-th/0611186]
40. Fioravanti D and Rossi M 2007 On the commuting charges for the highest dimension SU(2) operator in planar SYM J. High Energy Phys. JHEP08(2007)089 [hep-th] 0706.3936
41. Bombardelli D, Fioravanti D and Rossi M 2007 Non-linear integral equations in SYM Preprint [hep-th] 0711.2934
42. Lipatov L N 1998 Evolution equations in QCD Perspectives in Hadronic Physics: Proc. Conf. ICTP (Trieste, May 1997) ed S Boffi, C Ciofi, D Atti and M Giannini (Singapore: World Scientific)
43. Braun V M, Derkachov S E and Manashov A N 1998 Integrability of three-particle evolution equations in QCD Phys. Rev. Lett. 81 2020 [hep-ph/9805225]
44. Braun V M, Derkachov S E, Korchemsky G P and Manashov A N 1999 Baryon distribution amplitudes in QCD Nucl. Phys. B 553 355 [hep-ph/9902375]
45. Belitsky A V 1999 Fine structure of spectrum of twist-three operators in QCD Phys. Lett. B 453 59 [hep-ph/9902361]
46. Belitsky A V 2000 Renormalization of twist-three operators and integrable lattice models Nucl. Phys. B 574 407 [hep-ph/9907420]
47. Minahan J A and Zarembo K 2003 The Bethe ansatz for super Yang-Mills J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
48. Beisert N and Staudacher M 2003 The SYM integrable super spin chain Nucl. Phys. B 670 439 [hep-th/0307042]
49. Korchemsky G P 1996 Quasiclassical QCD pomeron Nucl. Phys. B 462 333 [hep-th/9508025]
50. Staudacher M 2005 The factorized S-matrix of CFT/AdS J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
51. Beisert N 2005 The dynamic S-matrix Preprint hep-th/0511082
52. Kotikov A V and Lipatov L N 2003 DGLAP and BFKL equations in the supersymmetric gauge theory Nucl. Phys. B 661 19 [hep-ph/0208220]
53. Kotikov A V and Lipatov L N 2004 Nucl. Phys. B 685 405 (erratum)