On the high spin expansion in the sl (2)N = 4 SYM theory

Nuclear Physics B

Volumn 822, Issue 3, 2009, Pages 467-492

  Fioravanti, Davide ^a   Infusino, Gabriele ^b   Rossi, Marco ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69249206654     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2009.06.033     Document Type: Article

References (48)

1. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231. hep-th/9711200
2. Gubser S.S., Klebanov I.R., and Polyakov A.M. Gauge theory correlators from non-critical string theory. Phys. Lett. B 428 (1998) 105. hep-th/9802109
3. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2 (1998) 253. hep-th/9802150
4. Lipatov L.N. Evolution equations in QCD. Perspectives in Hadron Physics. Proceedings of the Conference, ICTP, Trieste, Italy, May 1997 (1998), World Scientific, Singapore
5. Braun V.M., Derkachov S.E., and Manashov A.N. Integrability of three particle evolution equations in QCD. Phys. Rev. Lett. 81 (1998) 2020. hep-ph/9805225
6. Braun V.M., Derkachov S.E., Korchemsky G.P., and Manashov A.N. Baryon distribution amplitudes in QCD. Nucl. Phys. B 553 (1999) 355. hep-ph/9902375
7. Belitsky A.V. Fine structure of spectrum of twist-three operators in QCD. Phys. Lett. B 453 (1999) 59. hep-ph/9902361
8. Belitsky A.V. Renormalization of twist-three operators and integrable lattice models. Nucl. Phys. B 574 (2000) 407. hep-ph/9907420
9. Minahan J.A., and Zarembo K. The Bethe Ansatz for N = 4 super-Yang-Mills. JHEP 0303 (2003) 013. hep-th/0212208
10. Beisert N., and Staudacher M. The N = 4 SYM integrable super spin chain. Nucl. Phys. B 670 (2003) 439. hep-th/0307042
11. Staudacher M. The factorized S-matrix of CFT/AdS. JHEP 0505 (2005) 054. hep-th/0412188
12. Beisert N., and Staudacher M. Long-range PSU (2, 2 | 4) Bethe Ansatz for gauge theory and strings. Nucl. Phys. B 727 (2005) 1. hep-th/0504190
13. Arutyunov G., Frolov S., and Staudacher M. Bethe ansatz for quantum strings. JHEP 0410 (2004) 016. hep-th/0406256
14. Beisert N., Eden B., and Staudacher M. Transcendentality and crossing. J. Stat. Mech. 07 (2007) P01021. hep-th/0610251
15. Basso B., and Korchemsky G.P. Anomalous dimensions of high spin operators beyond the leading order. Nucl. Phys. B 775 (2007) 1. hep-th/0612247
16. Dokshitzer Y.L., and Marchesini G. N = 4 SUSY Yang-Mills: Three loops made simple(r). Phys. Lett. B 646 (2007) 189. hep-th/0612248
17. Beccaria M., Forini V., Tirziu A., and Tseytlin A.A. Structure of the large spin expansion of anomalous dimensions at strong coupling. arXiv:0809.5243 [hep-th]
18. Eden B., and Staudacher M. Integrability and transcendentality. J. Stat. Mech. 11 (2006) P014. hep-th/0603157
19. Benna M.K., Benvenuti S., Klebanov I.R., and Scardicchio A. A test of the AdS/CFT correspondence using high-spin operators. Phys. Rev. Lett. 98 (2007) 131603. hep-th/0611135
20. Alday L.F., Arutyunov G., Benna M.K., Eden B., and Klebanov I.R. On the strong coupling scaling dimension of high spin operators. JHEP 0704 (2007) 082. hep-th/0702028
21. Kostov I., Serban D., and Volin D. Strong coupling limit of Bethe Ansatz equations. Nucl. Phys. B 789 (2008) 413. hep-th/0703031
22. Beccaria M., De Angelis G.F., and Forini V. The scaling function at strong coupling from the quantum string Bethe equations. JHEP 0704 (2007) 066. hep-th/0703131
23. Casteill P.Y., and Kristjansen C. The strong coupling limit of the scaling function from the quantum string Bethe Ansatz. Nucl. Phys. B 785 (2007) 1. arXiv:0705.0890 [hep-th]
24. Basso B., Korchemsky G.P., and Kotanski J. Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling. Phys. Rev. Lett. 100 (2008) 091601. arXiv:0708.3933 [hep-th]
25. Kostov I., Serban D., and Volin D. Functional BES equation. JHEP 0808 (2008) 101. arXiv:0801.2542 [hep-th]
26. Freyhult L., Rej A., and Staudacher M. A generalized scaling function for AdS/CFT. J. Stat. Mech. (2008) P07015. arXiv:0712.2743 [hep-th]
27. Bombardelli D., Fioravanti D., and Rossi M. Large spin corrections in N = 4 SYM sl (2): Still a linear integral equation. Nucl. Phys. B 810 (2009) 460. arXiv:0802.0027 [hep-th]
28. Freyhult L., and Zieme S. The virtual scaling function of AdS/CFT. arXiv:0901.2749 [hep-th]
29. Fioravanti D., Grinza P., and Rossi M. Beyond cusp anomalous dimension from integrability. arXiv:0901.3161 [hep-th]
30. Bajnok Z., Janik R., and Lukowski T. Four loop twist two, BFKL, wrapping and strings. arXiv:0811.4448 [hep-th]
31. Belitsky A.V., Gorsky A.S., and Korchemsky G.P. Logarithmic scaling in gauge/string correspondence. Nucl. Phys. B 748 (2006) 24. hep-th/0601112
32. Frolov S., Tirziu A., and Tseytlin A.A. Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT. Nucl. Phys. B 766 (2007) 232. hep-th/0611269
33. Alday L.F., and Maldacena J.M. Comments on operators with large spin. JHEP 0711 (2007) 019. arXiv:0708.0672 [hep-th]
34. Roiban R., and Tseytlin A.A. Spinning superstrings at two loops: Strong coupling corrections to dimensions of large-twist SYM operators. Phys. Rev. D 77 (2008) 066006. arXiv:0712.2479 [hep-th]
35. Fioravanti D., Grinza P., and Rossi M. Strong coupling for planar N = 4 SYM: An all-order result. Nucl. Phys. B 810 (2009) 563. arXiv:0804.2893 [hep-th]
36. Basso B., and Korchemsky G.P. Embedding nonlinear O (6) sigma model into N = 4 super-Yang-Mills theory. Nucl. Phys. B 807 (2009) 397. arXiv:0805.4194 [hep-th]
37. Fioravanti D., Grinza P., and Rossi M. The generalised scaling function: A note. arXiv:0805.4407 [hep-th]
38. Buccheri F., and Fioravanti D. The integrable O (6) model and the correspondence: Checks and predictions. arXiv:0805.4410 [hep-th]
39. Fioravanti D., Grinza P., and Rossi M. The generalised scaling function: A systematic study. arXiv:0808.1886 [hep-th]
40. Gromov N. Generalized scaling function at strong coupling. JHEP 0811 (2008) 085. arXiv:0805.4615 [hep-th]
41. Volin D. The 2-loop generalized scaling function from the BES/FRS equation. arXiv:0812.4407 [hep-th]
42. Bajnok Z., Balog J., Basso B., Korchemsky G.P., and Palla L. Scaling function in AdS/CFT from the O (6) sigma model. arXiv:0809.4952 [hep-th]
43. Beccaria M. The generalised scaling function of AdS/CFT and semiclassical string theory. JHEP 0807 (2008) 082. arXiv:0806.3704 [hep-th]
44. Bombardelli D., Fioravanti D., and Rossi M. Non-linear integral equations in N = 4 SYM. in: Proceedings of International Workshop on Recent Advances in Quantum Integrable Systems (RAQIS 07), Annecy-le-Vieux, France, 11-14 September 2007. arXiv:0711.2934 [hep-th]
45. Kotikov A.V., and Lipatov L.N. On the highest transcendentality in N = 4 SUSY. Nucl. Phys. B 769 (2007) 217. hep-th/0611204
46. Fioravanti D., Mariottini A., Quattrini E., and Ravanini F. Excited state Destri-de Vega equation for sine-Gordon and restricted sine-Gordon models. Phys. Lett. B 390 (1997) 243. hep-th/9608091
47. Destri C., and de Vega H.J. Non linear integral equation and excited states scaling functions in the sine-Gordon model. Nucl. Phys. B 504 (1997) 621. hep-th/9701107
48. Belitsky A.V., Korchemsky G.P., and Pasechnik R.S. Fine structure of anomalous dimensions in N = 4 super-Yang-Mills theory. arXiv:0806.3657