Space-time S-matrix and flux tube S-matrix II. Extracting and matching data

Journal of High Energy Physics

Volumn 2014, Issue 1, 2014, Pages

  Basso, Benjamin ^a   Sever, Amit ^a,b   Vieira, Pedro ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

't Hooft and Polyakov loops; AdS CFT Correspondence; Integrable Field Theories; Scattering Amplitudes; Wilson

Indexed keywords

EID: 84892395207     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/Jhep01(2014)008     Document Type: Article

References (89)

1. L.F. Alday, D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, An operator product expansion for polygonal null Wilson loops, Jhep 04 (2011) 088 [ arXiv:1006.2788 ] [ INSPIRE ].
2. L.F. Alday and J.M. Maldacena, Comments on operators with large spin, Jhep 11 (2007) 019 [ arXiv:0708.0672 ] [ INSPIRE ].
3. B. Basso, A. Sever and P. Vieira, Space-time S-matrix and flux-tube S-matrix at finite coupling, Phys. Rev. Lett. 111 (2013) 091602 [ arXiv:1303.1396 ] [ INSPIRE ].
4. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, Jhep 06 (2007) 064 [ arXiv:0705.0303 ] [ INSPIRE ].
5. J. Drummond, G. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 (2008) 385 [ arXiv:0707.0243 ] [ INSPIRE ].
6. A. Brandhuber, P. Heslop and G. Travaglini, MHV amplitudes in N = 4 super Yang-Mills and Wilson loops, Nucl. Phys. B 794 (2008) 231 [ arXiv:0707.1153 ] [ INSPIRE ].
7. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [ arXiv:0712.1223 ] [ INSPIRE ].
8. N. Berkovits and J. Maldacena, Fermionic T-duality, dual superconformal symmetry and the amplitude/Wilson loop connection, Jhep 09 (2008) 062 [ arXiv:0807.3196 ] [ INSPIRE ].
9. B. Basso, Exciting the GKP string at any coupling, Nucl. Phys. B 857 (2012) 254 [ arXiv:1010.5237 ] [ INSPIRE ].
10. J.L. Bourjaily, S. Caron-Huot and J. Trnka, Dual-conformal regularization of infrared loop divergences and the chiral box expansion, arXiv:1303.4734 [ INSPIRE ].
11. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The all-loop integrand for scattering amplitudes in planar N = 4 SYM, Jhep 01 (2011) 041 [ arXiv:1008.2958 ] [ INSPIRE ].
12. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A duality for the S-matrix, Jhep 03 (2010) 020 [ arXiv:0907.5418 ] [ INSPIRE ].
13. N. Arkani-Hamed et al., Scattering amplitudes and the positive Grassmannian, arXiv:1212.5605 [ INSPIRE ].
14. S. Caron-Huot and S. He, Jumpstarting the all-loop S-matrix of planar N = 4 super Yang-Mills, Jhep 07 (2012) 174 [ arXiv:1112.1060 ] [ INSPIRE ].
15. S. Caron-Huot, Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills, Jhep 12 (2011) 066 [ arXiv:1105.5606 ] [ INSPIRE ].
16. A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical polylogarithms for amplitudes and Wilson loops, Phys. Rev. Lett. 105 (2010) 151605 [ arXiv:1006.5703 ] [ INSPIRE ].
17. L.J. Dixon, J.M. Drummond and J.M. Henn, Bootstrapping the three-loop hexagon, Jhep 11 (2011) 023 [ arXiv:1108.4461 ] [ INSPIRE ].
18. L.J. Dixon, J.M. Drummond, M. von Hippel and J. Pennington, Hexagon functions and the three-loop remainder function, Jhep 12 (2013) 049 [ arXiv:1308.2276 ] [ INSPIRE ].
19. L. Dixon, C. Duhr and J. Pennington, to appear.
20. Z. Bern et al., The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 78 (2008) 045007 [ arXiv:0803.1465 ] [ INSPIRE ].
21. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [ arXiv:0803.1466 ] [ INSPIRE ].
22. V. Del Duca, C. Duhr and V.A. Smirnov, The two-loop hexagon Wilson loop in N = 4 SYM, Jhep 05 (2010) 084 [ arXiv:1003.1702 ] [ INSPIRE ].
23. N. Beisert et al., Review of AdS/CFT integrability: an overview, Lett. Math. Phys. 99 (2012) 3 [ arXiv:1012.3982 ] [ INSPIRE ].
24. S. Gubser, I. Klebanov and A.M. Polyakov, A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [ hep-th/0204051 ] [ INSPIRE ].
25. A. Belitsky, OPE for null Wilson loops and open spin chains, Phys. Lett. B 709 (2012) 280 [ arXiv:1110.1063 ] [ INSPIRE ].
26. A. Sever, P. Vieira and T. Wang, From polygon Wilson loops to spin chains and back, Jhep 12 (2012) 065 [ arXiv:1208.0841 ] [ INSPIRE ].
27. A. Belitsky, V. Braun, A. Gorsky and G. Korchemsky, Integrability in QCD and beyond, Int. J. Mod. Phys. A 19 (2004) 4715 [ hep-th/0407232 ] [ INSPIRE ]. (Pubitemid 40109841)
28. A. Belitsky, A. Gorsky and G. Korchemsky, Logarithmic scaling in gauge/string correspondence, Nucl. Phys. B 748 (2006) 24 [ hep-th/0601112 ] [ INSPIRE ]. (Pubitemid 43899465)
29. D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Pulling the straps of polygons, Jhep 12 (2011) 011 [ arXiv:1102.0062 ] [ INSPIRE ].
30. J. Bartels, L. Lipatov and A. Prygarin, Integrable spin chains and scattering amplitudes, J. Phys. A 44 (2011) 454013 [ arXiv:1104.0816 ] [ INSPIRE ].
31. B. Basso and A. Rej, Bethe ansätze for GKP strings, to appear.
32. N. Dorey and P. Zhao, Scattering of giant holes, Jhep 08 (2011) 134 [ arXiv:1105.4596 ] [ INSPIRE ].
33. L. Mason and D. Skinner, The complete planar S-matrix of N = 4 SYM as a Wilson loop in twistor space, Jhep 12 (2010) 018 [ arXiv:1009.2225 ] [ INSPIRE ].
34. S. Caron-Huot, Notes on the scattering amplitude/Wilson loop duality, Jhep 07 (2011) 058 [ arXiv:1010.1167 ] [ INSPIRE ].
35. A. Sever, P. Vieira and T. Wang, OPE for super loops, Jhep 11 (2011) 051 [ arXiv:1108.1575 ] [ INSPIRE ].
36. A. Belitsky, A note on two-loop superloop, Phys. Lett. B 718 (2012) 205 [ arXiv:1207.1924 ] [ INSPIRE ].
37. A. Sever and P. Vieira, Multichannel conformal blocks for polygon Wilson loops, Jhep 01 (2012) 070 [ arXiv:1105.5748 ] [ INSPIRE ].
38. A.M. Polyakov, Gauge fields as rings of glue, Nucl. Phys. B 164 (1980) 171 [ INSPIRE ].
39. R.A. Brandt, F. Neri and M.-A. Sato, Renormalization of loop functions for all loops, Phys. Rev. D 24 (1981) 879 [ INSPIRE ].
40. G. Korchemsky and A. Radyushkin, Renormalization of the Wilson loops beyond the leading order, Nucl. Phys. B 283 (1987) 342 [ INSPIRE ].
41. I. Korchemskaya and G. Korchemsky, On lightlike Wilson loops, Phys. Lett. B 287 (1992) 169 [ INSPIRE ].
42. A. Bassetto, I. Korchemskaya, G. Korchemsky and G. Nardelli, Gauge invariance and anomalous dimensions of a light cone Wilson loop in lightlike axial gauge, Nucl. Phys. B 408 (1993) 62 [ hep-ph/9303314 ] [ INSPIRE ].
43. B. Basso, A. Sever and P. Vieira, to appear.
44. M. Kruczenski, A note on twist two operators in N = 4 SYM and Wilson loops in Minkowski signature, Jhep 12 (2002) 024 [ hep-th/0210115 ] [ INSPIRE ].
45. R. Roiban and A.A. Tseytlin, Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators, Phys. Rev. D 77 (2008) 066006 [ arXiv:0712.2479 ] [ INSPIRE ].
46. V. Nair, A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 (1988) 215 [ INSPIRE ].
47. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [ arXiv:0807.1095 ] [ INSPIRE ].
48. L.F. Alday and J. Maldacena, Null polygonal Wilson loops and minimal surfaces in anti-de-Sitter space, Jhep 11 (2009) 082 [ arXiv:0904.0663 ] [ INSPIRE ].
49. N. Beisert and M. Staudacher, Long-range PSU(2, 2|4) Bethe ansätze for gauge theory and strings, Nucl. Phys. B 727 (2005) 1 [ hep-th/0504190 ] [ INSPIRE ]. (Pubitemid 41430761)
50. A.B. Zamolodchikov and A.B. Zamolodchikov, Relativistic factorized S-matrix in two-dimensions having O(N) isotopic symmetry, Nucl. Phys. B 133 (1978) 525 [JETP Lett. 26 (1977) 457] [ INSPIRE ].
51. D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Bootstrapping null polygon Wilson loops, Jhep 03 (2011) 092 [ arXiv:1010.5009 ] [ INSPIRE ].
52. B. Basso and A. Belitsky, Luescher formula for GKP string, Nucl. Phys. B 860 (2012) 1 [ arXiv:1108.0999 ] [ INSPIRE ].
53. K.M. Watson, Some general relations between the photoproduction and scattering of π mesons, Phys. Rev. 95 (1954) 228 [ INSPIRE ].
54. F.A. Smirnov, Form-factors in completely integrable models of quantum field theory, Adv. Ser. Math. Phys. 14 (1992) 1.
55. D. Maître, HPL, a Mathematica implementation of the harmonic polylogarithms, Comput. Phys. Commun. 174 (2006) 222 [ hep-ph/0507152 ] [ INSPIRE ]. (Pubitemid 43133102)
56. Mathematica package HPL webpage, http://krone.physik.unizh.ch/~maitreda/ HPL/.
57. E. Remiddi and J. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [ hep-ph/9905237 ] [ INSPIRE ].
58. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [ hep-ph/9409265 ] [ INSPIRE ].
59. L.J. Dixon, J.M. Drummond and J.M. Henn, Analytic result for the two-loop six-point NMHV amplitude in N = 4 super Yang-Mills theory, Jhep 01 (2012) 024 [ arXiv:1111.1704 ] [ INSPIRE ].
60. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [ hep-th/0505205 ] [ INSPIRE ].
61. V. Del Duca, C. Duhr and V.A. Smirnov, An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM, Jhep 03 (2010) 099 [ arXiv:0911.5332 ] [ INSPIRE ].
62. L. Dixon, M. von Hippel and J. Pennington, private communication.
63. L. Dixon, Bootstraps old and new, talk at Amplitudes 2013, http://wwwth.mpp.mpg.de/members/strings/amplitudes2013/amplitudes-files/program/ talks.html, Max-Planck-Institut für Physik, Munich Germany April 28-May 3 2013.
64. L.J. Dixon, C. Duhr and J. Pennington, Single-valued harmonic polylogarithms and the multi-Regge limit, Jhep 10 (2012) 074 [ arXiv:1207.0186 ] [ INSPIRE ].
65. J. Golden, A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Motivic amplitudes and cluster coordinates, arXiv:1305.1617 [ INSPIRE ].
66. A. Belitsky, G. Korchemsky and E. Sokatchev, Are scattering amplitudes dual to super Wilson loops?, Nucl. Phys. B 855 (2012) 333 [ arXiv:1103.3008 ] [ INSPIRE ].
67. A. Belitsky and S. Caron-Huot, Superpropagator and superconformal invariants, Phys. Lett. B 718 (2013) 1083 [ arXiv:1209.0224 ] [ INSPIRE ].
68. S. Ferrara, A. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion, Annals Phys. 76 (1973) 161 [ INSPIRE ].
69. A. Polyakov, Nonhamiltonian approach to conformal quantum field theory, Zh. Eksp. Teor. Fiz. 66 (1974) 23 [ INSPIRE ].
70. R. Rattazzi, V.S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT, Jhep 12 (2008) 031 [ arXiv:0807.0004 ] [ INSPIRE ].
71. S. Rychkov, Conformal bootstrap in three dimensions?, arXiv:1111.2115 [ INSPIRE ].
72. S. El-Showk et al., Solving the 3D Ising model with the conformal bootstrap, Phys. Rev. D 86 (2012) 025022 [ arXiv:1203.6064 ] [ INSPIRE ].
73. S. El-Showk and M.F. Paulos, Bootstrapping conformal field theories with the extremal functional method, arXiv:1211.2810 [ INSPIRE ].
74. C. Beem, L. Rastelli and B.C. van Rees, The N = 4 superconformal bootstrap, Phys. Rev. Lett. 111 (2013) 071601 [ arXiv:1304.1803 ] [ INSPIRE ].
75. Z. Komargodski and A. Zhiboedov, Convexity and liberation at large spin, Jhep 11 (2013) 140 [ arXiv:1212.4103 ] [ INSPIRE ].
76. A.L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The analytic bootstrap and AdS superhorizon locality, arXiv:1212.3616 [ INSPIRE ].
77. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states, Commun. Math. Phys. 104 (1986) 177 [ INSPIRE ].
78. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 2. Scattering states, Commun. Math. Phys. 105 (1986) 153 [ INSPIRE ].
79. 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 ] [ INSPIRE ].
80. H.M. Babujian, A. Foerster and M. Karowski, The nested off-shell Bethe ansatz and O(N) matrix difference equations, arXiv:1204.3479 [ INSPIRE ].
81. H. Babujian, A. Foerster and M. Karowski, SU(N) and O(N) off-shell nested Bethe ansatz and form factors, Low Dimensional Physics and Gauge Principles (2011) 46 [ INSPIRE ].
82. L.F. Alday, D. Gaiotto and J. Maldacena, Thermodynamic bubble ansatz, Jhep 09 (2011) 032 [ arXiv:0911.4708 ] [ INSPIRE ].
83. L.F. Alday, J. Maldacena, A. Sever and P. Vieira, Y-system for scattering amplitudes, J. Phys. A 43 (2010) 485401 [ arXiv:1002.2459 ] [ INSPIRE ].
84. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, Jhep 05 (2013) 135 [ arXiv:0905.1473 ] [ INSPIRE ].
85. N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing, J. Stat. Mech. 01 (2007) P01021 [ hep-th/0610251 ] [ INSPIRE ].
86. M. Benna, S. Benvenuti, I. Klebanov and A. Scardicchio, A test of the AdS/CFT correspondence using high-spin operators, Phys. Rev. Lett. 98 (2007) 131603 [ hep-th/0611135 ] [ INSPIRE ]. (Pubitemid 46515821)
87. L.F. Alday, G. Arutyunov, M. Benna, B. Eden and I. Klebanov, On the strong coupling scaling dimension of high spin operators, Jhep 04 (2007) 082 [ hep-th/0702028 ] [ INSPIRE ].
88. A. Kotikov and L. Lipatov, On the highest transcendentality in N = 4 SUSY, Nucl. Phys. B 769 (2007) 217 [ hep-th/0611204 ] [ INSPIRE ].
89. B. Basso, G. Korchemsky and J. Kotanski, Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling, Phys. Rev. Lett. 100 (2008) 091601 [ arXiv:0708.3933 ] [ INSPIRE ]. (Pubitemid 351399033)