Strong coupling for planar N = 4 SYM theory: An all-order result

Nuclear Physics B

Volumn 810, Issue 3, 2009, Pages 563-574

  Fioravanti, Davide ^a   Grinza, Paolo ^b   Rossi, Marco ^c  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^c UNIVERSITY OF CALABRIA   (Italy)

Author keywords

AdS CFT correspondence; Bethe Ansatz equations; Counting function; Infinite conserved charges; Integrability

Indexed keywords

EID: 58149233724     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.10.018     Document Type: Article

References (35)

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. Belitsky A.V., Gorsky A.S., and Korchemsky G.P. Gauge/string duality for QCD conformal operators. Nucl. Phys. B 667 (2003) 3. hep-th/0304028
10. Minahan J.A., and Zarembo K. The Bethe Ansatz for N = 4 super Yang-Mills. JHEP 0303 (2003) 013. hep-th/0212208
11. Beisert N., Kristjansen C., and Staudacher M. The dilatation operator of N = 4 super Yang-Mills theory. Nucl. Phys. B 664 (2003) 131. hep-th/0303060
12. Beisert N., and Staudacher M. The N = 4 SYM integrable super spin chain. Nucl. Phys. B 670 (2003) 439. hep-th/0307042
13. 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
14. Eden B., and Staudacher M. Integrability and transcendentality. J. Stat. Mech. 11 (2006) P014. hep-th/0603157
15. Beisert N., Eden B., and Staudacher M. Transcendentality and crossing. J. Stat. Mech. 07 (2007) P01021. hep-th/0610251
16. 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
17. 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]
18. 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]
19. 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
20. Alday L.F., and Maldacena J.M. Comments on operators with large spin. JHEP 0711 (2007) 019. arXiv: 0708.0672 [hep-th]
21. Freyhult L., Rej A., and Staudacher M. A generalized scaling function for AdS/CFT. arXiv: 0712.2743
22. 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
23. 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
24. Bombardelli D., Fioravanti D., and Rossi M. Large spin corrections in N = 4 SYM sl (2): Still a linear integral equation. arXiv: 0802.0027
25. D. Bombardelli, D. Fioravanti, M. Rossi, 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]
26. Feverati G., Fioravanti D., Grinza P., and Rossi M. On the finite size corrections of anti-ferromagnetic anomalous dimensions in N = 4 SYM. JHEP 0605 (2006) 068. hep-th/0602189
27. Feverati G., Fioravanti D., Grinza P., and Rossi M. Hubbard's adventures in N = 4 SYM-land? Some non-perturbative considerations on finite length operators. J. Stat. Mech. 02 (2007) P001. hep-th/0611186
28. Fioravanti D., and Rossi M. On the commuting charges for the highest dimension SU (2) operators in planar N = 4 SYM. JHEP 0708 (2007) 089. arXiv: 0706.3936 [hep-th]
29. Kotikov A.V., and Lipatov L.N. On the highest transcendentality in N = 4 SUSY. Nucl. Phys. B 769 (2007) 217. hep-th/0611204
30. 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
31. 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
32. 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]
33. Kostov I., Serban D., and Volin D. Functional BES equation. arXiv: 0801.2542
34. Korchemsky G.P., and Marchesini G. Partonic distributions for large x and renormalization of Wilson loops. Nucl. Phys. B 406 (1993) 225. hep-ph/9210281
35. Korchemsky G.P. Asymptotics of the Altarelli-Parisi-Lipatov evolution kernels of parton distributions. Mod. Phys. Lett. A 4 (1989) 1257