Large spin expansion of the long-range Baxter equation in the sl(2) sector of N = 4 SYM

Journal of High Energy Physics

Volumn 2008, Issue 1, 2008, Pages

  Beccaria, Matteo ^a   Catino, Francesca ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

AdS CFT correspondence; Bethe ansatz

Indexed keywords

EID: 38949172185     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/01/067     Document Type: Article

References (54)

1. A.V. Belitsky, V.M. Braun, A.S. Gorsky and G.P. Korchemsky, Integrability in QCD and beyond 2004 Int. J. Mod. Phys. A 19 4715 [hep-th/0407232]
2. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models 1994 Sov. Phys. JETP Lett. 59 596 [1994 Pisma Zh. Eksp. Teor. Fiz. 59 571] [hep-th/9311037]
3. L.D. Faddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model 1995 Phys. Lett. B 342 311 [hep-th/9404173]
4. G.P. Korchemsky, Bethe ansatz for QCD Pomeron 1995 Nucl. Phys. B 443 255 [hep-ph/9501232]
5. V.M. Braun, S.E. Derkachov and A.N. Manashov, Integrability of three-particle evolution equations in QCD 1998 Phys. Rev. Lett. 81 2020 [hep-ph/9805225]
6. A.V. Belitsky, S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Dilatation operator in (super-)Yang-Mills theories on the light-cone 2005 Nucl. Phys. B 708 115 [hep-th/0409120]
7. A.V. Belitsky, G.P. Korchemsky and D. Mueller, Integrability in Yang-Mills theory on the light cone beyond leading order 2005 Phys. Rev. Lett. 94 151603 [hep-th/0412054]
8. A.V. Belitsky, G.P. Korchemsky and D. Mueller, Integrability of two-loop dilatation operator in gauge theories 2006 Nucl. Phys. B 735 17 [hep-th/0509121]
9. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
10. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
11. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
12. I.R. Klebanov, TASI lectures: introduction to the AdS/CFT correspondence [hep-th/0009139]
13. 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
14. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
15. M. Staudacher, The factorized S-matrix of CFT/ads 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
16. N. Beisert and M. Staudacher, Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings 2005 Nucl. Phys. B 727 1 [hep-th/0504190]
17. N. Beisert, The SU(2|2) dynamic S-matrix, [hep-th/0511082]
18. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
19. B. Eden and M. Staudacher, Integrability and transcendentality 2006 J. Stat. Mech. P11014 [hep-th/0603157]
20. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz 2006 J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
21. J. Plefka, F. Spill and A. Torrielli, On the Hopf algebra structure of the AdS/CFT S-matrix 2006 Phys. Rev. D 74 066008 [hep-th/0608038]
22. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. P01021 [hep-th/0610251]
23. 5 strings 2006 J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
24. G. Arutyunov and S. Frolov, On string S-matrix, bound states and TBA 2007 J. High Energy Phys. JHEP12(2007)024 [0710.1568]
25. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
26. B. Eden, A two-loop test for the factorised S-matrix of planar N = 4 2006 Nucl. Phys. B 738 409 [hep-th/0501234]
27. B.I. Zwiebel, N = 4 SYM to two loops: compact expressions for the non-compact symmetry algebra of the SU(1,1|2) sector, 2006 J. High Energy Phys. JHEP02(2006)055 [hep-th/0511109]
28. A.V. Kotikov, L.N. Lipatov, A. Rej, M. Staudacher and V.N. Velizhanin, Dressing and wrapping 2007 J. Stat. Mech. P10003 [0704.3586]
29. R.A. Janik and T. Lukowski, Wrapping interactions at strong coupling - the giant magnon 2007 Phys. Rev. D 76 126008 [0708.2208]
30. L.N. Lipatov, Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories 1976 Sov. J. Nucl. Phys. 23 338 [1976 Yad. Fiz. 23 642]
31. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories 1977 Sov. Phys. JETP 45 199 [1977 Zh. Eksp. Teor. Fiz. 72 377]
32. I.I. Balitsky and L.N. Lipatov, The Pomeranchuk singularity in quantum chromodynamics 1978 Sov. J. Nucl. Phys. 28 822 [1978 Yad. Fiz. 28 1597]
33. M. Beccaria, Three loop anomalous dimensions of twist-3 gauge operators in N = 4 SYM 2007 J. High Energy Phys. JHEP09(2007)023 [0707.1574]
34. M. Beccaria, Y.L. Dokshitzer and G. Marchesini, Twist 3 of the SL(2) sector of N = 4 SYM and reciprocity respecting evolution, 2007 Phys. Lett. B 652 194 [0705.2639]
35. M. Beccaria, Universality of three gaugino anomalous dimensions in N = 4 SYM 2007 J. High Energy Phys. JHEP06(2007)054 [0705.0663]
36. M. Beccaria, Anomalous dimensions at twist-3 in the SL(2) sector of N = 4 SYM 2007 J. High Energy Phys. JHEP06(2007)044 [0704.3570]
37. B. Basso and G.P. Korchemsky, Anomalous dimensions of high-spin operators beyond the leading order 2007 Nucl. Phys. B 775 1 [hep-th/0612247]
38. Y.L. Dokshitzer and G. Marchesini, N = 4 SUSY Yang-Mills: three loops made simple(r) 2007 Phys. Lett. B 646 189 [hep-th/0612248]
39. A. Rej, M. Staudacher and S. Zieme, Nesting and dressing 2007 J. Stat. Mech. P08006 [hep-th/0702151]
40. P.Y. Casteill and C. Kristjansen, The strong coupling limit of the scaling function from the quantum string Bethe ansatz 2007 Nucl. Phys. B 785 1 [0705.0890]
41. R.J. Baxter, Partition function of the eight-vertex lattice model 1972 Ann. Phys. (NY) 70 193 [2000 Ann. Phys. (NY) 281 187 ]
42. R.J. Baxter, Exactly solved models in statistical mechanics (Academic Press, London) U.K. (1982)
43. S.E. Derkachov, Baxter's Q-operator for the homogeneous XXX spin chain 1999 J. Phys. A: Math. Gen. 32 5299 [solv-int/9902015]
44. G.P. Korchemsky, Quasiclassical QCD pomeron 1996 Nucl. Phys. B 462 333 [hep-th/9508025]
45. A.V. Belitsky, J. Henn, C. Jarczak, D. Mueller and E. Sokatchev, Anomalous dimensions of leading twist conformal operators [0707.2936]
46. A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Logarithmic scaling in gauge/string correspondence 2006 Nucl. Phys. B 748 24 [hep-th/0601112]
47. S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Separation of variables for the quantum SL(2,) spin chain, 2003 J. High Energy Phys. JHEP07(2003)047 [hep-th/0210216]
48. S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Evolution equations for quark gluon distributions in multi- color QCD and open spin chains 2000 Nucl. Phys. B 566 203 [hep-ph/9909539]
49. A.V. Belitsky, Long-range SL(2) baxter equation in N = 4 super-Yang-Mills theory, 2006 Phys. Lett. B 643 354 [hep-th/0609068]
50. A.V. Kotikov and L.N. Lipatov, DGLAP and BFKL equations in the N = 4 supersymmetric gauge theory 2003 Nucl. Phys. B 661 19 [Erratum 2004 Nucl. Phys. B 685 405] [hep-ph/0208220]
51. A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko and V.N. Velizhanin, Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model 2004 Phys. Lett. B 595 521 [Erratum 2006 Phys. Lett. B 632 754] [hep-th/0404092]
52. S. Moch, J.A.M. Vermaseren and A. Vogt, The three-loop splitting functions in QCD: the non-singlet case 2004 Nucl. Phys. B 688 101 [hep-ph/0403192]
53. A. Vogt, S. Moch and J.A.M. Vermaseren, The three-loop splitting functions in QCD: the singlet case 2004 Nucl. Phys. B 691 129 [hep-ph/0404111]
54. A.V. Belitsky, Baxter equation for long-range SL(2|1) magnet, 2007 Phys. Lett. B 650 72 [hep-th/0703058]