Symmetries and analytic properties of scattering amplitudes in N = 4 SYM theory

Nuclear Physics B

Volumn 832, Issue 1-2, 2010, Pages 1-51

  Korchemsky, G P ^a   Sokatchev, E ^b  

^a CEA SACLAY   (France)

^b UNIVERSITÉ DE SAVOIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949263563     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.01.022     Document Type: Article

References (64)

1. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory. arXiv:0807.1095 [hep-th]
2. Berkovits N., and Maldacena J. Fermionic T-duality, dual superconformal symmetry, and the amplitude/Wilson loop connection. JHEP 0809 (2008) 062. arXiv:0807.3196 [hep-th]
3. 5 superstring integrability. Phys. Rev. D 78 (2008) 126004. arXiv:0807.3228 [hep-th]
4. Nair V.P. A current algebra for some gauge theory amplitudes. Phys. Lett. B 214 (1988) 215
5. Witten E. Perturbative gauge theory as a string theory in twistor space. Commun. Math. Phys. 252 (2004) 189. arXiv:hep-th/0312171
6. Arkani-Hamed N., Cachazo F., and Kaplan J. What is the simplest quantum field theory?. arXiv:0808.1446 [hep-th]
7. Mandelstam S. Light cone superspace and the ultraviolet finiteness of the N = 4 model. Nucl. Phys. B 213 (1983) 149
8. Brink L., Lindgren O., and Nilsson B.E.W. N = 4 Yang-Mills theory on the light cone. Nucl. Phys. B 212 (1983) 401
9. Xu Z., Zhang D.H., and Chang L. Helicity amplitudes for multiple Bremsstrahlung in massless nonabelian gauge theories. Nucl. Phys. B 291 (1987) 392
10. Broadhurst D.J. Summation of an infinite series of ladder diagrams. Phys. Lett. B 307 (1993) 132
11. Drummond J.M., Henn J., Smirnov V.A., and Sokatchev E. Magic identities for conformal four-point integrals. JHEP 0701 (2007) 064. arXiv:hep-th/0607160
12. Bern Z., Del Duca V., Dixon L.J., and Kosower D.A. All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 71 (2005) 045006. arXiv:hep-th/0410224
13. Bern Z., Dixon L.J., and Kosower D.A. All next-to-maximally helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 72 (2005) 045014. arXiv:hep-th/0412210
14. - to four partons. Nucl. Phys. B 513 (1998) 3. arXiv:hep-ph/9708239
15. Britto R., Cachazo F., and Feng B. Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills. Nucl. Phys. B 725 (2005) 275. arXiv:hep-th/0412103
16. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. Generalized unitarity for N = 4 super-amplitudes. arXiv:0808.0491 [hep-th]
17. Britto R., Cachazo F., Feng B., and Witten E. Direct proof of tree-level recursion relation in Yang-Mills theory. Phys. Rev. Lett. 94 (2005) 181602. arXiv:hep-th/0501052
18. Drummond J.M., and Henn J.M. All tree-level amplitudes in N = 4 SYM. arXiv:0808.2475 [hep-th]
19. Drummond J.M., Henn J.M., and Plefka J. Yangian symmetry of scattering amplitudes in N = 4 super Yang-Mills theory. arXiv:0902.2987 [hep-th]
20. 5. Fortschr. Phys. 57 (2009) 329. arXiv:0903.0609 [hep-th]
21. Gorsky A. Amplitudes in the N = 4 SYM from quantum geometry of the momentum space. AIP Conf. Proc. 1134 (2009) 202. arXiv:0905.2058 [hep-th]
22. Hodges A. Eliminating spurious poles from gauge-theoretic amplitudes. arXiv:0905.1473 [hep-th]
23. Mason L., and Skinner D. Scattering amplitudes and BCFW recursion in twistor space. arXiv:0903.2083 [hep-th]
24. Arkani-Hamed N., Cachazo F., Cheung C., and Kaplan J. The S-matrix in twistor space. arXiv:0903.2110 [hep-th]
25. Britto R., Cachazo F., and Feng B. New recursion relations for tree amplitudes of gluons. Nucl. Phys. B 715 (2005) 499. arXiv:hep-th/0412308
26. Brandhuber A., Heslop P., and Travaglini G. A note on dual superconformal symmetry of the N = 4 super Yang-Mills S-matrix. Phys. Rev. D 78 (2008) 125005. arXiv:0807.4097 [hep-th]
27. Bianchi M., Elvang H., and Freedman D.Z. Generating tree amplitudes in N = 4 SYM and N = 8 SG. JHEP 0809 (2008) 063. arXiv:0805.0757 [hep-th]
28. Elvang H., Freedman D.Z., and Kiermaier M. Recursion relations, generating functions, and unitarity sums in N = 4 SYM theory. JHEP 0904 (2009) 009. arXiv:0808.1720 [hep-th]
29. Korchemskaya I.A., and Korchemsky G.P. Evolution equation for gluon Regge trajectory. Phys. Lett. B 387 (1996) 346. arXiv:hep-ph/9607229
30. Alday L.F., and Maldacena J.M. Gluon scattering amplitudes at strong coupling. JHEP 0706 (2007) 064. arXiv:0705.0303 [hep-th]
31. Drummond J.M., Korchemsky G.P., and Sokatchev E. Conformal properties of four-gluon planar amplitudes and Wilson loops. Nucl. Phys. B 795 (2008) 385. arXiv:0707.0243 [hep-th]
32. Brandhuber A., Heslop P., and Travaglini G. MHV amplitudes in N = 4 super Yang-Mills and Wilson loops. Nucl. Phys. B 794 (2008) 231. arXiv:0707.1153 [hep-th]
33. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. On planar gluon amplitudes/Wilson loops duality. Nucl. Phys. B 795 (2008) 52. arXiv:0709.2368 [hep-th]
34. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes. arXiv:0712.1223 [hep-th]
35. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. Hexagon Wilson loop = six-gluon MHV amplitude. Nucl. Phys. B 815 (2009) 142. arXiv:0803.1466 [hep-th]
36. Bern Z., Dixon L.J., Kosower D.A., Roiban R., Spradlin M., Vergu C., and Volovich A. The two-loop six-gluon MHV amplitude in maximally supersymmetric Yang-Mills theory. Phys. Rev. D 78 (2008) 045007. arXiv:0803.1465 [hep-th]
37. Anastasiou C., Brandhuber A., Heslop P., Khoze V.V., Spence B., and Travaglini G. Two-loop polygon Wilson loops in N = 4 SYM. arXiv:0902.2245 [hep-th]
38. Gorsky A., and Zhiboedov A. One-loop derivation of the Wilson polygon - MHV amplitude duality. arXiv:0904.0381 [hep-th]
39. Korchemskaya I.A., and Korchemsky G.P. On lightlike Wilson loops. Phys. Lett. B 287 (1992) 169
40. Anastasiou C., Bern Z., Dixon L.J., and Kosower D.A. Planar amplitudes in maximally supersymmetric Yang-Mills theory. Phys. Rev. Lett. 91 (2003) 251602. arXiv:hep-th/0309040
41. Bern Z., Dixon L.J., and Smirnov V.A. Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond. Phys. Rev. D 72 (2005) 085001. arXiv:hep-th/0505205
42. Alday L.F., and Maldacena J. Comments on gluon scattering amplitudes via AdS/CFT. JHEP 0711 (2007) 068. arXiv:0710.1060 [hep-th]
43. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude. Phys. Lett. B 662 (2008) 456. arXiv:0712.4138 [hep-th]
44. Alday L.F., and Maldacena J. Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space. arXiv:0904.0663 [hep-th]
45. Brandhuber A., Heslop P., and Travaglini G. One-loop amplitudes in N = 4 super Yang-Mills and anomalous dual conformal symmetry. arXiv:0905.4377 [hep-th]
46. Elvang H., Freedman D.Z., and Kiermaier M. Dual conformal symmetry of 1-loop NMHV amplitudes in N = 4 SYM theory. arXiv:0905.4379 [hep-th]
47. Cachazo F., Svrcek P., and Witten E. Gauge theory amplitudes in twistor space and holomorphic anomaly. JHEP 0410 (2004) 077. arXiv:hep-th/0409245
48. Bena I., Bern Z., Kosower D.A., and Roiban R. Loops in twistor space. Phys. Rev. D 71 (2005) 106010. arXiv:hep-th/0410054
49. Cachazo F. Holomorphic anomaly of unitarity cuts and one-loop gauge theory amplitudes. arXiv:hep-th/0410077
50. Bargheer T., Beisert N., Galleas W., Loebbert F., and McLoughlin T. Exacting N = 4 superconformal symmetry. arXiv:0905.3738 [hep-th]
51. Mangano M.L., and Parke S.J. Multi-parton amplitudes in gauge theories. Phys. Rep. 200 (1991) 301. arXiv:hep-th/0509223
52. Dixon L.J. Calculating scattering amplitudes efficiently. Boulder TASI 95:539-584. arXiv:hep-ph/9601359
53. Georgiou G., Glover E.W.N., and Khoze V.V. Non-MHV tree amplitudes in gauge theory. JHEP 0407 (2004) 048. arXiv:hep-th/0407027
54. Brandhuber A., Spence B.J., and Travaglini G. One-loop gauge theory amplitudes in N = 4 super Yang-Mills from MHV vertices. Nucl. Phys. B 706 (2005) 150. arXiv:hep-th/0407214
55. Eden R.J., Landshoff P.V., Olive D.I., and Polkinghorne J.C. The Analytic S-Matrix (2002), Cambridge University Press
56. Berends F.A., and Giele W.T. Multiple soft gluon radiation in parton processes. Nucl. Phys. B 313 (1989) 595
57. Bern Z., Dixon L.J., Dunbar D.C., and Kosower D.A. One-loop n-point gauge theory amplitudes, unitarity and collinear limits. Nucl. Phys. B 425 (1994) 217. arXiv:hep-ph/9403226
58. Bern Z., Dixon L.J., Dunbar D.C., and Kosower D.A. Fusing gauge theory tree amplitudes into loop amplitudes. Nucl. Phys. B 435 (1995) 59. arXiv:hep-ph/9409265
59. Kosower D.A. All-order collinear behavior in gauge theories. Nucl. Phys. B 552 (1999) 319. arXiv:hep-ph/9901201
60. Kosower D.A., and Uwer P. One-loop splitting amplitudes in gauge theory. Nucl. Phys. B 563 (1999) 477. arXiv:hep-ph/9903515
61. Bern Z., Del Duca V., Kilgore W.B., and Schmidt C.R. The infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order. Phys. Rev. D 60 (1999) 116001. arXiv:hep-ph/9903516
62. Bern Z., Dixon L.J., and Kosower D.A. Two-loop g → g g splitting amplitudes in QCD. JHEP 0408 (2004) 012. arXiv:hep-ph/0404293
63. Basso B., and Korchemsky G.P. Nonperturbative scales in AdS/CFT. J. Phys. A: Math. Theor. 42 (2009) 254005. arXiv:0901.4945 [hep-th]
64. Korchemsky G.P., and Sokatchev E. Twistor transform of all tree amplitudes in N = 4 SYM theory. Nucl. Phys. B 829 (2010) 478. arXiv:0907.4107 [hep-th]