Classical polylogarithms for amplitudes and wilson loops

Physical Review Letters

Volumn 105, Issue 15, 2010, Pages

  Goncharov, A B ^a   Spradlin, M ^a   Vergu, C ^a   Volovich, A ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC FORMULA; CROSS-RATIOS; HELICITIES; POLYLOGARITHM FUNCTIONS; POLYLOGARITHMS; TWISTOR; WILSON LOOPS; YANG-MILLS THEORY;

EID: 77957775566     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.151605     Document Type: Article

References (39)

1. Z. Bern, L.J. Dixon, D.A. Kosower, R. Roiban, M. Spradlin, C. Vergu, and A. Volovich, Phys. Rev. D PRVDAQ 1550-7998 78, 045007 (2008). 10.1103/PhysRevD.78.045007
2. F. Cachazo, M. Spradlin, and A. Volovich, Phys. Rev. D PRVDAQ 1550-7998 78, 105022 (2008). 10.1103/PhysRevD.78.105022
3. C. Anastasiou, Z. Bern, L.J. Dixon, and D.A. Kosower, Phys. Rev. Lett. 91, 251602 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.251602
4. Z. Bern, L.J. Dixon, and V.A. Smirnov, Phys. Rev. D PRVDAQ 1550-7998 72, 085001 (2005). 10.1103/PhysRevD.72.085001
5. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B826, 337 (2010). 10.1016/j.nuclphysb.2009.10.013
6. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B828, 317 (2010). 10.1016/j.nuclphysb.2009.11.022
7. F. Cachazo, M. Spradlin, and A. Volovich, Phys. Rev. D PRVDAQ 1550-7998 74, 045020 (2006). 10.1103/PhysRevD.74.045020
8. Z. Bern, M. Czakon, D.A. Kosower, R. Roiban, and V.A. Smirnov, Phys. Rev. Lett. 97, 181601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.181601
9. L.F. Alday and J.M. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 06 (2007) 064. 10.1088/1126-6708/2007/06/064
10. J.M. Drummond, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B795, 385 (2008). 10.1016/j.nuclphysb.2007.11.041
11. A. Brandhuber, P. Heslop, and G. Travaglini, Nucl. Phys. NUPBBO 0550-3213 B794, 231 (2008). 10.1016/j.nuclphysb.2007.11.002
12. N. Berkovits and J. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 09 (2008) 062. 10.1088/1126-6708/2008/09/062
13. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Phys. Lett. B 662, 456 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2008.03.032
14. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B815, 142 (2009). 10.1016/j.nuclphysb.2009.02.015
15. C. Anastasiou, A. Brandhuber, P. Heslop, V.V. Khoze, B. Spence, and G. Travaglini, J. High Energy Phys. JHEPFG 1029-8479 05 (2009) 115. 10.1088/1126-6708/2009/05/115
16. V. Del Duca, C. Duhr, and V.A. Smirnov, J. High Energy Phys. JHEPFG 1029-8479 03 (2010) 099. 10.1007/JHEP03(2010)099
17. V. Del Duca, C. Duhr, and V.A. Smirnov, J. High Energy Phys. JHEPFG 1029-8479 05 (2010) 084. 10.1007/JHEP05(2010)084
18. J.H. Zhang, arXiv:1004.1606.
19. A.B. Goncharov, Math. Res. Lett. 5, 497 (1998). 1073-2780
20. E. Remiddi and J.A.M. Vermaseren, Int. J. Mod. Phys. A 15, 725 (2000). IMPAEF 0217-751X 10.1142/S0217751X00000367
21. A. Hodges, arXiv:0905.1473.
22. A.B. Goncharov, arXiv:0908.2238v2.
23. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.105.151605 for the symbol S of R 6 (2) in both u and z coordinates.
24. A.B. Goncharov, Proc. Symp. Pure Math 55, 43 (1994).
25. R.C. Brower, H. Nastase, H.J. Schnitzer, and C.I. Tan, Nucl. Phys. NUPBBO 0550-3213 B814, 293 (2009). 10.1016/j.nuclphysb.2009.02.009
26. J. Bartels, L.N. Lipatov, and A. Sabio Vera, Phys. Rev. D PRVDAQ 1550-7998 80, 045002 (2009). 10.1103/PhysRevD.80.045002
27. R.C. Brower, H. Nastase, H.J. Schnitzer, and C.I. Tan, Nucl. Phys. NUPBBO 0550-3213 B822, 301 (2009). 10.1016/j.nuclphysb.2009.07.026
28. V. Del Duca, C. Duhr, and E.W.N. Glover, J. High Energy Phys. JHEPFG 1029-8479 12 (2008) 097. 10.1088/1126-6708/2008/12/097
29. R.M. Schabinger, J. High Energy Phys. JHEPFG 1029-8479 11 (2009) 108. 10.1088/1126-6708/2009/11/108
30. L.F. Alday, D. Gaiotto, J. Maldacena, A. Sever, and P. Vieira, arXiv:1006.2788.
31. L.F. Alday and J. Maldacena, arXiv:0903.4707.
32. L.F. Alday and J. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 11 (2009) 082. 10.1088/1126-6708/2009/11/082
33. L.F. Alday, D. Gaiotto, and J. Maldacena, arXiv:0911.4708.
34. L.F. Alday, J. Maldacena, A. Sever, and P. Vieira, arXiv:1002.2459.
35. D. Zagier, Math. Ann. 286, 613 (1990). MAANA3 0025-5831 10.1007/BF01453591
36. L. Mason and D. Skinner, arXiv:1004.3498.
37. A. Gorsky and A. Zhiboedov, J. Phys. A JPHAC5 0305-4470 42, 355214 (2009). 10.1088/1751-8113/42/35/355214
38. A. Hodges, arXiv:1004.3323.
39. Nima Arkani-Hamed (private communication).