Higher order corrections to the Lipatov asymptotics in the φ4 theory

Journal of Experimental and Theoretical Physics

Volumn 99, Issue 2, 2004, Pages 234-253

  Lobaskin, D A ^a   Suslov, I M ^a  

^a KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; FUNCTIONS; PERTURBATION TECHNIQUES;

ELEMENTARY INSTANTONS; LIPATOV APPROACH; LOCALIZED FUNCTION; POWER SERIES;

NUMERICAL METHODS;

EID: 33644573225     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1800180     Document Type: Article

References (41)

1. L. N. Lipatov, Zh. Éksp. Teor. Fiz. 72, 411 (1977)
2. [Sov. Phys. JETP 45, 216 (1977)].
3. I. M. Suslov, Zh. Éksp. Teor. Fiz. 117, 659 (2000)
4. [JETP 90, 571 (2000)].
5. C. Itzykson, G. Parisi, and J. B. Zuber, Phys. Rev. Lett. 38, 306 (1977).
6. I. M. Suslov, Usp. Fiz. Nauk 168, 503 (1998)
7. [Phys. Usp. 41, 441 (1998)].
8. G. L. Alfimov, V. M. Elconsky, N. E. Kulagin, et al., Physica D (Amsterdam) 44, 168 (1990);
9. G. L. Alfimov, Mat. Model. 2, 67 (1990);
10. Izv. Ross. Akad. Nauk, Ser. Fiz. 60, 12 (1996).
11. A. G. Ushveridze, Yad. Fiz. 30, 845 (1979)
12. [Sov. J. Nucl. Phys. 30, 436 (1979)];
13. Yad. Fiz. 32, 1446 (1980)
14. [Sov. J. Nucl. Phys. 32, 747 (1980)].
15. G. G. Leptukh and A. G. Ushveridze, J. Phys. A14, 3085 (1981).
16. E. Brézin, G. Parisi, and J. Zinn-Justin, Phys. Rev. D16, 408 (1977).
17. E. B. Bogomolny and V. A. Fateyev, Phys. Lett. B 71, 93 (1977).
18. E. B. Bogomolny, Phys. Lett. B 91, 431 (1980).
19. E. B. Bogomolny, V. A. Fateyev, and L. N. Lipatov, Sov. Sci. Rev., Sect. A 2, 247 (1980).
20. J. Zinn-Justin, Phys. Rep. 70, 109 (1981);
21. J. Math. Phys. 22, 511 (1981);
22. J. Math. Phys. 25, 549 (1984);
23. Nucl. Phys. B 192, 125 (1981);
24. Nucl. Phys. B 218, 333 (1983).
25. E. B. Bogomolny, Phys. Lett. B 67, 193 (1977).
26. G. Parisi, Phys. Lett. B 66, 167 (1977).
27. C. M. Bender and T. T. Wu, Phys. Rev. D 7, 1620 (1973).
28. E. B. Bogomolny and V. A. Fateyev, Phys. Lett. B 76, 210 (1978).
29. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 3rd ed. (Nauka, Moscow, 1976; Pergamon Press, Oxford, 1980).
30. I. M. Suslov, Zh. Éksp. Teor. Fiz. 111, 1896 (1997)
31. [JETP 84, 1036(1997)].
32. I. M. Suslov, Zh. Éksp.Teor. Fiz. 111, 220 (1997)
33. [JETP 84, 120 (1997)].
34. J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967).
35. E. Brezin and G. Parisi, J. Stat. Phys. 19, 269 (1978).
36. I.I. Balitsky, Phys. Lett. B 273, 282 (1991).
37. V. I. Zakharov, Nucl. Phys. B 385, 452 (1992).
38. I. M. Suslov, Zh. Éksp. Teor. Fiz. 106, 560 (1994)
39. [JETP 79, 307 (1994)].
40. M. Hamermesh, Croup Theory and Its Applications to Physical Problems (Addison-Wesley, Reading, Mass., 1962; Mir, Moscow, 1966).
41. N. Ya. Vilenkin, Special Functions and the Theory of Group Representations (Nauka, Moscow, 1965; Am. Math. Soc., Providence, R.I., 1968).