Renormalons and analytic properties of the β function

Journal of Experimental and Theoretical Physics

Volumn 99, Issue 3, 2004, Pages 474-479

  Suslov, I M ^a  

^a KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODYNAMICS; IMAGE ANALYSIS; MATHEMATICAL MODELS; QUANTUM THEORY;

BOREL PLANE; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; RENORMALONS;

FUNCTION EVALUATION;

EID: 33644563546     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1809674     Document Type: Article

References (22)

1. L. N. Lipatov, Zh. Éksp. Teor. Fiz. 72, 411 (1977)
2. [Sov. Phys. JETP 45, 216 (1977)].
3. Large-Order Behavior of Perturbation Theory, Ed. by J. C. Le Guillou and J. Zinn-Justin (North-Holland, Amsterdam, 1990).
4. E. B. Bogomolny, V. A. Fateycv, and L. N. Lipalov, in Soviet Science Reviews, Section A: Physics Reviews, Ed. by I. M. Khalatnikov (Harwood Academic, New York, 1980), Vol. 2, p. 247.
5. B. Lautrup, Phys. Lett. B 69B, 109 (1977).
6. G. 't Hooft, in The Whys of Submiclear Physics, Erice, 1977, Ed. by A. Zichichi (Plenum, New York, 1979).
7. M. Beneke, Phys. Rep. 317, 1 (1999).
8. I. M. Suslov, Zh. Éksp. Teor. Fiz. 116, 369 (1999)
9. [JETP 89, 197 (1999)].
10. G. Parisi, Phys. Rep. 49, 215 (1979).
11. I M. Suslov, Pis'ma Zh. Éksp. Teor. Fiz. 71, 315 (2000)
12. [JETP Lett. 71, 217 (2000)].
13. I. M. Suslov, Pis'ma Zh. Éksp. Teor. Fiz. 74, 211 (2001)
14. [JETP Lett. 74, 191(2001)].
15. I. M. Suslov, Pis'ma Zh. Éksp. Teor. Fiz. 76, 387 (2002)
16. [JETP Lett. 76, 327 (2002)].
17. R. Seznec and J. Zinn-Justin, J. Math. Phys. 20, 1398 (1979).
18. F. David, Nucl. Phys. B 209, 433 (1982);
19. Nucl. Phys. B 234, 237 (1984);
20. Nucl. Phys. B 263, 637 (1986).
21. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed. (McGraw-Hill, New York, 1968; Nauka, Moscow, 1977).
22. M. A. Evgrafov, Analytic Functions, 2nd ed. (Nauka, Moscow, 1968; Saunders, Philadelphia, Pa., 1966).