Connection between feynman integrals having different values of the space-time dimension

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 54, Issue 10, 1996, Pages 6479-6490

  Tarasov, O V ^a  

^a DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000248819     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.54.6479     Document Type: Article

References (34)

1. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 2nd ed. (Oxford University Press, New York, 1993)
2. A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics (Cambridge University Press, Cambridge, England, 1995)
3. D. J. Amit, Field Theory, the Renormalization Group and Critical Phenomena (McGraw-Hill, New York, 1978)
4. G. ‘t Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972)
5. G. G. Bollini and J. J. Giambiagi, Nuovo Cimento B 12, 20 (1972)
6. S. A. Larin, F. V. Tkachov, and J. A. M. Vermaseren, Report No. NIKHEF-H/91-18, 1991 (unpublished)
7. C. M. Bender, S. Boettcher, and L. Lipatov, Phys. Rev. D 46, 5557 (1992)
8. K. G. Chetyrkin and F. V. Tkachov, Nucl. Phys. B192, 159 (1981)
9. F. V. Tkachov, Phys. Lett. 100B, 65 (1981)
10. V. Alfaro, B. Jacksič, and T. Regge, High Energy Physics and Elementary Particles (International Atomic Energy Agency, Vienna, 1965), pp. 263-273
11. T. Regge, Algebraic Topology Methods in the Theory of Feynman Relativistic Amplitudes, Battle Recontres, 1967, Lectures in mathematics and physics (Benjamin, New York, 1968)
12. E. E. Boos and A. I. Davydychev, Teor. Mat. Fiz. 89, 56 (1991)
13. [Theor. Math. Phys. 89, 1052 (1991)]
14. D. J. Broadhurst, J. Fleischer, and O. V. Tarasov, Z. Phys. C 60, 287 (1993)
15. S. Bauberger, F. A. Berends, M. Böhm, and M. Buza, Nucl. Phys. B434, 383 (1995)
16. O. V. Tarasov, Nucl. Phys. B (to be published)
17. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980)
18. E. R. Speer, J. Math. Phys. (N.Y.) 15, 1 (1974)
19. M. C. Bergère and Yuk-Ming P. Lam, Commun. Math. Phys. 39, 1 (1974)
20. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Wiley, New York, 1980)
21. A. I. Davydychev, Phys. Lett. B 263, 107 (1991)
22. O. V. Tarasov, “The construction of renormalized coefficient functions of Feynman diagrams by computer,” Report No. JINR, E2-11573, Dubna, 1978 (unpublished)
23. A. I. Davydychev and B. Tausk, Phys. Rev. D 53, 7381 (1996)
24. D. J. Broadhurst, Z. Phys. C 54, 599 (1992)
25. L. Avdeev, J. Fleischer, S. Mikhailov, and O. Tarasov, Phys. Lett. B 336, 560 (1994)
26. L. Avdeev, J. Fleischer, S. Mikhailov, O. TarasovPhys. Lett. B349, 597(E) (1995)
27. L. M. Brown, Nuovo Cimento 22, 178 (1961)
28. D. B. Melrose, Nuovo Cimento A 40, 181 (1965)
29. F. R. Halpern, Phys. Rev. Lett. 10, 310 (1963)
30. Z. Bern, L. Dixon, and D. A. Kossover, Nucl. Phys. B412, 751 (1994)
31. A. J. Macfarlane and G. Woo, Nucl. Phys. B77, 91 (1974)
32. A. J. Macfarlane, G. WooNucl. Phys.B86, 548(E) (1975)
33. D. I. Kazakov, L. R. Lomidze, N. V. Makhaldiani, and A. A. Vladimirov, “Ultraviolet asymptotics in renormalizable scalar theories,” Report No. E2-8085, Dubna, JINR, 1974 (unpublished)
34. A. V. Efremov, V. A. Nesterenko, and A. V. Radyushkin, Nuovo Cimento A 76, 122 (1983)