Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture

Journal of High Energy Physics

Volumn 2009, Issue 9, 2009, Pages

  Georgiou, George ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

AdS CFT Correspondence; Duality in gauge field theories; Renormalization group; Supersymmetric gauge theory

Indexed keywords

EID: 70350020237     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/09/021     Document Type: Article

References (55)

1. S.J. Parke and T.R. Taylor, 1986 An amplitude for n gluon scattering, Phys. Rev. Lett. 56 2459
2. F.A. Berends and W.T. Giele, 1988 Recursive calculations for processes with n gluons, Nucl. Phys. B 306 759
3. C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, 2003 Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 251602 [hep-th/0309040]
4. A.H. Mueller, 1979 On the asymptotic behavior of the Sudakov form-factor, Phys. Rev. D 20 2037
5. J.C. Collins, 1980 Algorithm to compute corrections to the Sudakov form-factor, Phys. Rev. D 22 1478
6. A. Sen, 1981 Asymptotic behavior of the Sudakov form-factor in QCD, Phys. Rev. D 24 3281
7. G.P. Korchemsky, 1989 Double logarithmic asymptotics in QCD, Phys. Lett. B 217 330
8. S. Catani and L. Trentadue, 1989 Resummation of the QCD perturbative series for hard processes, Nucl. Phys. B 327 323
9. L. Magnea and G. Sterman, 1990 Analytic continuation of the Sudakov form-factor in QCD, Phys. Rev. D 42 4222
10. S. Catani, 1998 The singular behaviour of QCD amplitudes at two-loop order, Phys. Lett. B 427 161 [hep-ph/9802439]
11. G. Sterman and M.E. Tejeda-Yeomans, 2003 Multi-loop amplitudes and resummation, Phys. Lett. B 552 48 [hep-ph/0210130]
12. Z. Bern, L.J. Dixon and V.A. Smirnov, 2005 Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 085001 [hep-th/0505205]
13. J.M. Maldacena, 1998 The large-N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
14. J.M. Maldacena, 1999 Int. J. Theor. Phys. 38 1113
15. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, 1998 Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 105 [hep-th/9802109]
16. E. Witten, 1998 Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
17. L.F. Alday and J.M. Maldacena, 2007 Gluon scattering amplitudes at strong coupling J. High Energy Phys. JHEP06(2007)064 [0705.0303]
18. L.F. Alday and J. Maldacena, 2007 Comments on gluon scattering amplitudes via AdS/CFT J. High Energy Phys. JHEP11(2007)068 [0710.1060]
19. L.F. Alday and J. Maldacena, Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space, [0904.0663]
20. A. Gorsky and A. Zhiboedov, 2009 One-loop derivation of the Wilson polygon - MHV amplitude duality, J. Phys. A 42 355214 [0904.0381]
21. Z. Bern et al., 2008 The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 78 045007 [0803.1465]
22. A.M. Polyakov, 1980 Gauge fields as rings of glue, Nucl. Phys. B 164 171
23. V.S. Dotsenko and S.N. Vergeles, 1980 Renormalizability of phase factors in the nonabelian gauge theory, Nucl. Phys. B 169 527
24. R.A. Brandt, F. Neri and M.-a. Sato, 1981 Renormalization of loop functions for all loops, Phys. Rev. D 24 879
25. R.A. Brandt, A. Gocksch, M.A. Sato and F. Neri, 1982 Loop space, Phys. Rev. D 26 3611
26. A.A. Migdal, 1983 Loop equations and 1/N expansion, Phys. Rept. 102 199
27. I.A. Korchemskaya and G.P. Korchemsky, 1992 On lightlike Wilson loops, Phys. Lett. B 287 169
28. J.M. Drummond, G.P. Korchemsky and E. Sokatchev, 2008 Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 385 [0707.0243]
29. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, 2008 On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 52 [0709.2368]
30. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, [0712.1223]
31. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, 2008 The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude, Phys. Lett. B 662 456 [0712.4138]
32. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, 2009 Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 142 [0803.1466]
33. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory, [0807.1095]
34. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Generalized unitarity for N=4 super-amplitudes, [0808.0491]
35. J.M. Drummond and J.M. Henn, 2009 All tree-level amplitudes in N=4 SYM J. High Energy Phys. JHEP04(2009)018 [0808.2475]
36. N. Berkovits and J. Maldacena, 2008 Fermionic T-duality, dual superconformal symmetry and the amplitude/Wilson loop connection J. High Energy Phys. JHEP09(2008)062 [0807.3196]
37. 5 superstring integrability, Phys. Rev. D 78 126004 [0807.3228]
38. N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the simplest quantum field theory?, [0808.1446]
39. N. Drukker, D.J. Gross and H. Ooguri, 1999 Wilson loops and minimal surfaces, Phys. Rev. D 60 125006 [hep-th/9904191]
40. J. McGreevy and A. Sever, 2008 Quark scattering amplitudes at strong coupling J. High Energy Phys. JHEP02(2008)015 [0710.0393]
41. A. Brandhuber, B.J. Spence and G. Travaglini, 2005 One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices, Nucl. Phys. B 706 150 [hep-th/0407214]
42. A. Brandhuber, P. Heslop and G. Travaglini, 2008 MHV amplitudes in N=4 super Yang-Mills and Wilson loops, Nucl. Phys. B 794 231 [0707.1153]
43. A. Brandhuber, P. Heslop and G. Travaglini, 2008 A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix, Phys. Rev. D 78 125005 [0807.4097]
44. A. Brandhuber, B. Spence and G. Travaglini, 2006 From trees to loops and back J. High Energy Phys. JHEP01(2006)142 [hep-th/0510253]
45. C. Anastasiou et al., 2009 Two-loop polygon Wilson loops in N=4 SYM J. High Energy Phys. JHEP05(2009)115 [0902.2245]
46. J. Bartels, L.N. Lipatov and A. Sabio Vera, 2009 BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes, Phys. Rev. D 80 045002 [0802.2065]
47. J. Bartels, L.N. Lipatov and A. Sabio Vera, N=4 supersymmetric Yang-Mills scattering amplitudes at high energies: the Regge cut contribution, [0807.0894]
48. V. Del Duca, C. Duhr and E.W.N. Glover, 2008 Iterated amplitudes in the high-energy limit J. High Energy Phys. JHEP12(2008)097 [0809.1822]
49. G.P. Korchemsky and A.V. Radyushkin, 1987 Renormalization of the Wilson loops beyond the leading order, Nucl. Phys. B 283 342
50. R.C. Brower, H. Nastase, H.J. Schnitzer and C.-I. Tan, 2009 Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture, Nucl. Phys. B 814 293 [0801.3891]
51. R.C. Brower, H. Nastase, H.J. Schnitzer and C.-I. Tan, Analyticity for multi-Regge limits of the Bern-Dixon-Smirnov amplitudes, [0809.1632]
52. I.A. Korchemskaya and G.P. Korchemsky, 1995 High-energy scattering in QCD and cross singularities of Wilson loops, Nucl. Phys. B 437 127 [hep-ph/9409446]
53. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, 1994 One-loop n-point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 217 [hep-ph/9403226]
54. T. Binoth, J.P. Guillet and G. Heinrich, 2000 Reduction formalism for dimensionally regulated one-loop N-point integrals, Nucl. Phys. B 572 361 [hep-ph/9911342]
55. G. Duplancic and B. Nizic, 2001 Dimensionally regulated one-loop box scalar integrals with massless internal lines, Eur. Phys. J. C 20 357 [hep-ph/0006249]