Anomalous dimensions of finite size field strength operators in = 4 SYM

Journal of High Energy Physics

Volumn 2007, Issue 11, 2007, Pages

  Beccaria, Matteo ^a,b   Forini, Valentina ^c,d,e  

^a UNIVERSITY OF SALENTO   (Italy)

^b INFN SEZIONE DI LECCE   (Italy)

^c HUMBOLDT UNIVERSITY   (Germany)

^d UNIVERSITY OF PERUGIA   (Italy)

^e INFN SEZIONE DI PERUGIA   (Italy)

Author keywords

AdS CFT correspondence; Bethe ansatz

Indexed keywords

EID: 36849039084     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/11/031     Document Type: Article

References (75)

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], to be published in the memorial volume From fields to strings: circumnavigating theoretical physics (World Scientific) (2004), dedicated to the memory of Ian Kogan
2. L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models [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. P. Di Vecchia and A. Tanzini, N = 2 super Yang-Mills and the XXZ spin chain 2005 J. Geom. Phys. 54 116 [hep-th/0405262]
10. A.V. Belitsky, S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Superconformal operators in Yang-Mills theories on the light-cone 2005 Nucl. Phys. B 722 191 [hep-th/0503137]
11. X.-J. Wang and Y.-S. Wu, Integrable spin chain and operator mixing in N = 1,2 supersymmetric theories 2004 Nucl. Phys. B 683 363 [hep-th/0311073]
12. See also N. Beisert and R. Roiban, The Bethe ansatz for Z(S) orbifolds of N = 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP11(2005)037 [hep-th/0510209]
13. D. Astolfi, V. Forini, G. Grignani and G.W. Semenoff, Finite size corrections and integrability of N = 2 SYM and DLCQ strings on a pp-wave 2006 J. High Energy Phys. JHEP09(2006)056 [hep-th/0606193]
14. 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]
15. 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]
16. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
17. I.R. Klebanov, TASI lectures: introduction to the AdS/CFT correspondence lectures given at Theoretical Advanced Study Institute in elementary particle physics (TASI 99): strings, branes, and Gravity Boulder, Colorado, 31 May - 25 Jun (1999), [hep-th/0009139]
18. N. Beisert, The dilatation operator of N = 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
19. J. Plefka, Spinning strings and integrable spin chains in the AdS/CFT correspondence [hep-th/0507136]
20. 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
21. G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
22. M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
23. 5: one-loop correction to energy in SL(2) sector, [hep-th/0501203]
24. 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]
25. N. Beisert, The SU(2|2) dynamic S-matrix, [hep-th/0511082]
26. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
27. B. Eden and M. Staudacher, Integrability and transcendentality 2006 J. Stat. Mech. P11014 [hep-th/0603157]
28. R. Hernandez and E. Lopez, Quantum corrections to the string Bethe ansatz 2006 J. High Energy Phys. JHEP07(2006)004 [hep-th/0603204]
29. L. Freyhult and C. Kristjansen, A universality test of the quantum string Bethe ansatz [hep-th/0604069]
30. 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]
31. 5 strings 2006 J. High Energy Phys. JHEP11(2006)070 [hep-th/0609044]
32. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing 2007 J. Stat. Mech. P01021 [hep-th/0610251]
33. 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]
34. A.V. Kotikov, L.N. Lipatov, A. Rej, M. Staudacher and V.N. Velizhanin, Dressing and wrapping [0704.3586]
35. R.A. Janik and T. Lukowski, Wrapping interactions at strong coupling - The giant magnon [0708.2208]
36. A. Rej, M. Staudacher and S. Zieme, Nesting and dressing 2007 J. Stat. Mech. P0808006 [hep-th/0702151]
37. L.N. Lipatov, Evolution equations in QCD in Perspectives in Hadronic Physics, Proceedings of the Conference ICTP Trieste, Italy, 12-16 May (1997), S. Boffi, C. Ciofi Degli Atti and M. Giannini eds., (World Scientific, Singapore) (1998)
38. L.N. Lipatov, Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories 1976 Sov. J. Nucl. Phys. 23 338
39. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories 1977 Sov. Phys. JETP 45 199
40. I.I. Balitsky and L.N. Lipatov, The Pomeranchuk singularity in quantum chromodynamics 1978 Sov. J. Nucl. Phys. 28 822
41. 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]
42. 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]
43. M. Beccaria, Universality of three gaugino anomalous dimensions in N = 4 SYM 2007 J. High Energy Phys. JHEP06(2007)054 [0705.0663]
44. 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]
45. M. Lubcke and K. Zarembo, Finite-size corrections to anomalous dimensions in N = 4 SYM theory 2004 J. High Energy Phys. JHEP05(2004)049 [hep-th/0405055]
46. N. Beisert and L. Freyhult, Fluctuations and energy shifts in the Bethe ansatz 2005 Phys. Lett. B 622 343 [hep-th/0506243]
47. N. Gromov and V. Kazakov, Double scaling and finite size corrections in SL(2) spin chain, 2006 Nucl. Phys. B 736 199 [hep-th/0510194]
48. G. Feverati, D. Fioravanti, P. Grinza and M. Rossi, Hubbard's adventures in N = 4 SYM-land? some non-perturbative considerations on finite length operators 2007 J. Stat. Mech. P02001 [hep-th/0611186]
49. M. Beccaria, On the finite size corrections of anti-ferromagnetic anomalous dimensions in N = 4 SYM 2006 J. High Energy Phys. JHEP05(2006)068 [hep-th/0602189]
50. P.Y. Casteill and C. Kristjansen, The strong coupling limit of the scaling function from the quantum string Bethe ansatz [0705.0890]
51. L. Freyhult, Bethe ansatz and fluctuations in SU(3) Yang-Mills operators, 2004 J. High Energy Phys. JHEP06(2004)010 [hep-th/0405167]
52. L. Freyhult and C. Kristjansen, Rational three-spin string duals and non-anomalous finite size effects 2005 J. High Energy Phys. JHEP05(2005)043 [hep-th/0502122]
53. H.J. de Vega, Finite size corrections for nested Bethe ansatz models and conformal invariance 1987 J. Phys. A: Math. Gen. 20 6023
54. V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT 2004 J. High Energy Phys. JHEP05(2004)024 [hep-th/0402207]
55. 5 2006 Comm. Math. Phys. 263 659 [hep-th/0502226]
56. S. Schafer-Nameki, M. Zamaklar and K. Zarembo, How accurate is the quantum string Bethe ansatz? 2006 J. High Energy Phys. JHEP12(2006)020 [hep-th/0610250]
57. N. Gromov and P. Vieira, Complete 1-loop test of AdS/CFT [0709.3487]
58. J. Ambjørn, R.A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality 2006 Nucl. Phys. B 736 288 [hep-th/0510171]
59. S. Schafer-Nameki, Exact expressions for quantum corrections to spinning strings 2006 Phys. Lett. B 639 571 [hep-th/0602214]
60. D.M. Hofman and J.M. Maldacena, Giant magnons 2006 J. Phys. A: Math. Gen. 39 13095 [hep-th/0604135]
61. G. Arutyunov, S. Frolov and M. Zamaklar, Finite-size effects from giant magnons 2007 Nucl. Phys. B 778 1 [hep-th/0606126]
62. D. Astolfi, V. Forini, G. Grignani and G.W. Semenoff, Gauge invariant finite size spectrum of the giant magnon 2007 Phys. Lett. B 651 329 [hep-th/0702043]
63. G. Ferretti, R. Heise and K. Zarembo, New integrable structures in large-N QCD 2004 Phys. Rev. D 70 074024 [hep-th/0404187]
64. N. Beisert, G. Ferretti, R. Heise and K. Zarembo, One-loop QCD spin chain and its spectrum 2005 Nucl. Phys. B 717 137 [hep-th/0412029]
65. S. Schafer-Nameki, The algebraic curve of 1-loop planar N = 4 SYM 2005 Nucl. Phys. B 714 3 [hep-th/0412254]
66. N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
67. rmrd ITEP Winter School of Physics Moscow, Russia, 22 Feb - 2 Mar (2005), \shep192004233
68. G. 't Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle 1976 Phys. Rev. D 14 3432 [Erratum 1978 Phys. Rev. 18 2199]
69. A.B. Zamolodchikov and V.A. Fateev, Model factorized S matrix and an integrable Heisenberg chain with spin 1 (in russian) 1980 Yad. Fiz. 32 581
70. P.P. Kulish, N.Y. Reshetikhin and E.K. Sklyanin, Yang-Baxter equation and representation theory 1 1981 Lett. Math. Phys. 5 393
71. N.Y. Reshetikhin, Integrable models of quantum one-dimensional magnets with O(N) and Sp(2K) symmetry, 1985 Theor. Math. Phys. 63 555 [1985 Teor. Mat. Fiz. 63 347 ]
72. 5 2003 Nucl. Phys. B 668 77 [hep-th/0304255]
73. 5 and 'long' gauge field strength operators 2005 Phys. Rev. D 71 126008 [hep-th/0505130]
74. N. Beisert, V.A. Kazakov, K. Sakai and K. Zarembo, Complete spectrum of long operators in N = 4 SYM at one loop 2005 J. High Energy Phys. JHEP07(2005)030 [hep-th/0503200]
75. N. Beisert, T. McLoughlin and R. Roiban, The four-loop dressing phase of N = 4 SYM 2007 Phys. Rev. D 76 046002 [0705.0321]