Double-logs, gribov-lipatov reciprocity and wrapping

Journal of High Energy Physics

Volumn 2011, Issue 8, 2011, Pages

  Velizhanin, V N ^a  

^a PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

Author keywords

AdS CFT Correspondence; Extended Supersymmetry; Integrable Field Theories; NLO Computations

Indexed keywords

EID: 80053114341     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2011)092     Document Type: Article

References (74)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
2. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
4. D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013 [hep-th/0202021] [SPIRES].
5. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [SPIRES].
6. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models, hep-th/9311037 [SPIRES].
7. L.N. Lipatov, Asymptotic behavior of multicolor QCD at high energies in connection with exactly solvable spin models, JETP Lett. 59 (1994) 596 [SPIRES].
8. L.D. Faddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model, Phys. Lett. B 342 (1995) 311 [hep-th/9404173] [SPIRES].
9. V.M. Braun, S.E. Derkachov and A.N. Manashov, Integrability of three-particle evolution equations in QCD, Phys. Rev. Lett. 81 (1998) 2020 [hep-ph/9805225] [SPIRES].
10. 5 superstrin, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [SPIRES].
11. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060] [SPIRES].
12. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042] [SPIRES].
13. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 676 (2004) 3 [hep-th/0307015] [SPIRES].
14. N. Beisert, The SU(2|3) dynamic spin chain, Nucl. Phys. B 682 (2004) 487 [hep-th/0310252] [SPIRES].
15. D. Serban and M. Staudacher, Planar N = 4 gauge theory and the Inozemtsev long range spin chain, JHEP 06 (2004) 001 [hep-th/0401057] [SPIRES].
16. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT, JHEP 05 (2004) 024 [hep-th/0402207] [SPIRES].
17. N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N = 4 super Yang-Mills, JHEP 07 (2004) 075 [hep-th/0405001] [SPIRES].
18. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings, JHEP 10 (2004) 016 [hep-th/0406256] [SPIRES].
19. M. Staudacher, The factorized S-matrix of CFT/AdS, JHEP 05 (2005) 054 [hep-th/0412188] [SPIRES].
20. N. Beisert and M. Staudacher, Long-range PSU(2, 2|4) Bethe ansaetze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [hep-th/0504190] [SPIRES].
21. N. Beisert, The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082] [SPIRES].
22. 5 superstring worldsheet S-matrix and crossing symmetry, Phys. Rev. D 73 (2006) 086006 [hep-th/0603038] [SPIRES].
23. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz, JHEP 07 (2006) 004 [hep-th/0603204] [SPIRES].
24. 5 string S-matrix, Phys. Lett. B 639 (2006) 378 [hep-th/0604043] [SPIRES].
25. 5 string S-matrix, JHEP 11 (2006) 070 [hep-th/0609044] [SPIRES].
26. B. Eden and M. Staudacher, Integrability and transcendentality, J. Stat. Mech. (2006) P11014 [hep-th/0603157] [SPIRES].
27. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248] [SPIRES].
28. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [SPIRES].
29. S. Schäfer-Nameki, M. Zamaklar and K. Zarembo, How accurate is the quantum string Bethe ansatz?, JHEP 12 (2006) 020 [hep-th/0610250] [SPIRES].
30. A.V. Kotikov, L.N. Lipatov, A. Rej, M. Staudacher and V.N. Velizhanin, Dressing and wrapping, J. Stat. Mech. (2007) P10003 [arXiv:0704.3586] [SPIRES].
31. Z. Bajnok and R.A. Janik, Four-loop perturbative Konishi from strings and finite size effects for multiparticle states, Nucl. Phys. B 807 (2009) 625 [arXiv:0807.0399] [SPIRES].
32. 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] [SPIRES].
33. Z. Bajnok, A. Hegedus, R.A. Janik and T. Lukowski, Five loop Konishi from AdS/CFT, Nucl. Phys. B 827 (2010) 426 [arXiv:0906.4062] [SPIRES].
34. T. Lukowski, A. Rej and V.N. Velizhanin, Five-loop anomalous dimension of twist-two operators, Nucl. Phys. B 831 (2010) 105 [arXiv:0912.1624] [SPIRES].
35. N. Gromov, V. Kazakov and P. Vieira, Exact spectrum of anomalous dimensions of lanar N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 103 (2009) 131601 [arXiv:0901.3753] [SPIRES].
36. N. Gromov, V. Kazakov, A. Kozak and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory: TBA and excited states, Lett. Math. Phys. 91 (2010) 265 [arXiv:0902.4458] [SPIRES].
37. N. Gromov, V. Kazakov and P. Vieira, Exact spectrum of planar N = 4 supersymmetric Yang-Mills theory: Konishi dimension at any coupling, Phys. Rev. Lett. 104 (2010) 211601 [arXiv:0906.4240] [SPIRES].
38. D. Bombardelli, D. Fioravanti and R. Tateo, Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal, J. Phys. A 42 (2009) 375401 [arXiv:0902.3930] [SPIRES].
39. G. Arutyunov, S. Frolov and R. Suzuki, Exploring the mirror TBA, JHEP 05 (2010) 031 [arXiv:0911.2224] [SPIRES].
40. 5 mirror model, JHEP 05 (2009) 068 [arXiv:0903.0141] [SPIRES].
41. G. Arutyunov, S. Frolov and R. Suzuki, Five-loop Konishi from the mirror TBA, JHEP 04 (2010) 069 [arXiv:1002.1711] [SPIRES].
42. J. Balog and A. Hegedus, 5-loop Konishi from linearized TBA and the XXX magnet, JHEP 06 (2010) 080 [arXiv:1002.4142] [SPIRES].
43. J. Balog and A. Hegedus, The Bajnok-Janik formula and wrapping corrections, JHEP 09 (2010) 107 [arXiv:1003.4303] [SPIRES].
44. Z. Bajnok and O. el Deeb, 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values, JHEP 01 (2011) 054 [arXiv:1010.5606] [SPIRES].
45. F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, Wrapping at four loops in N = 4 SYM, Phys. Lett. B 666 (2008) 100 [arXiv:0712.3522] [SPIRES].
46. F. Fiamberti, A. Santambrogio, C. Sieg and D. Zanon, Anomalous dimension with wrapping at four loops in N = 4 SYM, Nucl. Phys. B 805 (2008) 231 [arXiv:0806.2095] [SPIRES].
47. V.N. Velizhanin, The four-loop anomalous dimension of the Konishi operator in N = 4 supersymmetric Yang-Mills theory, JETP Lett. 89 (2009) 6 [arXiv:0808.3832] SPIRES].
48. V.N. Velizhanin, Leading transcedentality contributions to the four-loop universal anomalous dimension in N = 4 SYM, Phys. Lett. B 676 (2009) 112 [arXiv:0811.0607] [SPIRES].
49. L.N. Lipatov, Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories, Sov. J. Nucl. Phys. 23 (1976) 338 [SPIRES].
50. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories, Sov. Phys. JETP 45 (1977) 199 [SPIRES].
51. I.I. Balitsky and L.N. Lipatov, The Pomeranchuk singularity in quantum chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [SPIRES].
52. V.G. Gorshkov, V.N. Gribov, L.N. Lipatov and G.V. Frolov, Doubly logarithmic asymptotic behavior in quantum electrodynamics, Sov. J. Nucl. Phys. 6 (1968) 95 [SPIRES].
53. V.G. Gorshkov, V.N. Gribov, L.N. Lipatov and G.V. Frolov, Backward electron-positron scattering at high-energies, Sov. J. Nucl. Phys. 6 (1968) 262 [SPIRES].
54. V.G. Gorshkov, V.N. Gribov, L.N. Lipatov and G.V. Frolov, Double logarithmic asymptotics of quantum electrodynamics, Phys. Lett. 22 (1966) 671 [SPIRES].
55. R. Kirschner and L.N. Lipatov, Double logarithmic asymptotics of quark scattering amplitudes with flavor exchange, Phys. Rev. D 26 (1982) 1202 [SPIRES].
56. R. Kirschner and L.n. Lipatov, Doubly logarithmic asymptotic of the quark scattering amplitude with nonvacuum exchange in the t channel, Sov. Phys. JETP 56 (1982) 266 [SPIRES].
57. R. Kirschner and L.n. Lipatov, Double logarithmic asymptotics and Regge singularities of quark amplitudes with flavor exchange, Nucl. Phys. B 213 (1983) 122 [SPIRES].
58. Y.L. Dokshitzer, G. Marchesini and G.P. Salam, Revisiting parton evolution and the large-x limit, Phys. Lett. B 634 (2006) 504 [hep-ph/0511302] [SPIRES].
59. Y.L. Dokshitzer and G. Marchesini, N = 4 SUSY Yang-Mills: three loops made simple(r), Phys. Lett. B 646 (2007) 189 [hep-th/0612248] [SPIRES].
60. A.V. Kotikov and L.N. Lipatov, DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory, Nucl. Phys. B 661 (2003) 19 [hep-ph/0208220] [SPIRES].
61. A.V. Kotikov, L.N. Lipatov and V.N. Velizhanin, Anomalous dimensions of Wilson operators in N = 4 SYM theory, Phys. Lett. B 557 (2003) 114 [hep-ph/0301021] [SPIRES].
62. 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, Phys. Lett. B 595 (2004) 521 [hep-th/0404092] [SPIRES].
63. S. Moch, J.A.M. Vermaseren and A. Vogt, The three-loop splitting functions in QCD: the non-singlet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [SPIRES].
64. J.A.M. Vermaseren, Harmonic sums, Mellin transforms and integrals, Int. J. Mod. Phys. A 14 (1999) 2037 [hep-ph/9806280] [SPIRES].
65. J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [SPIRES].
66. E. Remiddi and J.A.M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237] [SPIRES].
67. D. Mâ?tre, HPL, a Mathematica implementation of the harmonic polylogarithms, Comput. Phys. Commun. 174 (2006) 222 [hep-ph/0507152] [SPIRES].
68. V.N. Gribov and L.N. Lipatov, Deep inelastic ep scattering in perturbation theory, Sov. J Nucl. Phys. 15 (1972) 438 [SPIRES].
69. ? pair annihilation and deep inelastic ep scattering in perturbation theory, Sov. J. Nucl. Phys. 15 (1972) 675 [SPIRES].
70. K. Kainulainen, K. Tuominen and J. Virkajarvi, The WIMP of a minimal technicolor theory, Phys. Rev. D 75 (2007) 085003 [hep-ph/0612247] [SPIRES].
71. M. Beccaria and V. Forini, Four loop reciprocity of twist two operators in N = 4 SYM, JHEP 03 (2009) 111 [arXiv:0901.1256] [SPIRES].
72. M. Beccaria, V. Forini, T. Lukowski and S. Zieme, Twist-three at five loops, Bethe ansatz and wrapping, JHEP 03 (2009) 129 [arXiv:0901.4864] [SPIRES].
73. V.S. Fadin and L.N. Lipatov, BFKL Pomeron in the next-to-leading approximation, Phys. Lett. B 429 (1998) 127 [hep-ph/9802290] [SPIRES].
74. A.V. Kotikov and L.N. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories, Nucl. Phys. B 582 (2000) 19 [hep-ph/0004008] [SPIRES].