Multi-loop Feynman integrals and conformal quantum mechanics

Nuclear Physics B

Volumn 662, Issue 3, 2003, Pages 461-475

  Isaev, A P ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Conformal quantum mechanics; Dimensional regularization; Perturbative series

Indexed keywords

EID: 0038457943     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00393-6     Document Type: Article

References (43)

1. Kreimer D. Phys. Rep. 363 2002 387 hep-th/0010059
2. Kreimer D. Knots and Feynman Diagrams 2000 Cambridge Univ. Press Cambridge
3. Broadhurst D.J. Eur. Phys. J. C 8 1999 311 hep-th/9803091
4. Davydychev A.I. Delbourgo R. J. Math. Phys. 39 1998 4299 hep-th/9709216
5. Smirnov V.A. Evaluating double and triple (?) boxes hep-ph/0209295
6. Smirnov V.A. Phys. Lett. B 547 2002 239 hep-ph/0209193
7. Smirnov V.A. Phys. Lett. B 500 2001 330 hep-ph/0011056
8. Smirnov V.A. Phys. Lett. B 460 1999 397 hep-ph/9905323
9. Moch S. Uwer P. Weinzierl S. J. Math. Phys. 43 2002 3363 hep-ph/0110083
10. Davydychev A.I. Kalmykov M.Yu. Nucl. Phys. B 605 2001 266 hep-th/0012189
11. Zagier D. Values of zeta-functions and their applications First Europian Congress of Mathematics II 1994 497 Birkhauser Boston
12. Goncharov A.B. Multiple polylogarithms and mixed Tate motives math.AG/0103059
13. Tkachov F.V. Phys. Lett. B 100 1981 65
14. Chetyrkin K.G. Tkachov F.V. Nucl. Phys. B 192 1981 159
15. Kazakov D.I. Phys. Lett. B 133 1983 406
16. Kazakov D.I. Theor. Math. Phys. 62 1985 84
17. Vasilev A.N. Pismak Y.M. Khonkonen Y.R. Theor. Math. Phys. 47 1981 465
18. Fradkin E.S. Palchik M.Ya. Phys. Rep. 44 5 1978 249
19. Zamolodchikov A.B. Phys. Lett. B 97 1980 63
20. Isaev A.P. Quantum groups and Yang-Baxter equations Sov. J. Part. Nucl. 26 1995 501
21. Eden B. Schubert C. Sokatchev E. Phys. Lett. B 482 2000 309 hep-th/0003096
22. Eden B. Howe P.S. Schubert C. Sokatchev E. West P.C. Phys. Lett. B 466 1999 20 hep-th/9906051
23. Arutyunov G. Eden B. Petkou A.C. Sokatchev E. Nucl. Phys. B 620 2002 380 hep-th/0103230
24. Dolan F.A. Osborn H. Nucl. Phys. B 629 2002 3 hep-th/0112251
25. t'Hooft G. Nucl. Phys. B 61 1973 455
26. Gorishnii S.G. Isaev A.P. Theor. Math. Phys. 62 1985 232
27. Broadhurst D.J. Z. Phys. C 32 1986 249
28. Barfoot D.T. Broadhurst D.J. Z. Phys. C 41 1988 81
29. Broadhurst D. Gracey J.A. Kreimer D. Z. Phys. C 75 1997 559 hep-th/9607174
30. Kotikov A.V. Phys. Lett. B 375 1996 240 hep-ph/9512270
31. Kotikov A.V. The Gegenbauer polynomial technique: the evaluation of complicated Feynman integrals hep-th/0102177
32. Ussyukina N.I. Davydychev A.I. Phys. Lett. B 305 1993 136
33. Broadhurst D.J. Phys. Lett. B 307 1993 132
34. Ussyukina N.I. Davydychev A.I. Phys. Lett. B 298 1993 363
35. Usyukina N.I. Davydychev A.I. Phys. Lett. B 332 1994 159 hep-ph/9402223
36. Davydychev A.I. Tausk J.B. Phys. Rev. D 53 1996 7381 hep-ph/9504431
37. Smirnov V.A. Veretin O.L. Nucl. Phys. B 566 2000 469 hep-ph/9907385
38. Gehrmann T. Remiddi E. Nucl. Phys. B 601 2001 248 hep-ph/0008287
39. Anastasiou C. Tausk J.B. Tejeda-Yeomans M.E. Nucl. Phys. B (Proc. Suppl.) 89 2000 262 hep-ph/0005328
40. Chetyrkin K.G. Kataev A.L. Tkachov F.V. Nucl. Phys. B 174 1980 345
41. Derkachov S.E. Korchemsky G.P. Manashov A.N. Nucl. Phys. B 617 2001 375 hep-th/0107193
42. Lipatov L.N. JETP Lett. 59 1994 596 hep-th/9311037
43. Lipatov L.N. Phys. Lett. B 309 1993 394