Algebraic self-similar renormalization in the theory of critical phenomena

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 4, 1997, Pages 3983-3999

  Gluzman, S ^a   Yukalov, V I ^a  

^a UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000514951     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.3983     Document Type: Article

References (31)

1. K G. Wilson and J. Kogut, Phys. Rep.12, 75 (1974).
2. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1996).
3. E. Brezin, J. Le Guillou, J. Zinn-Justin and B. Nickel, Phys. Lett.44A, 227 (1973).
4. V I. Yukalov, Phys. Rev. A42, 3324 (1990).
5. V I. Yukalov, J. Math. Phys.32, 1235 (1991).
6. V I. Yukalov, J. Math. Phys.33, 3994 (1992).
7. V I. Yukalov and E P. Yukalova, Physica A206, 553 (1994).
8. V I. Yukalov and E P. Yukalova, Physica A225, 336 (1996).
9. E P. Yukalova and V I. Yukalov, Phys. Lett A175, 27 (1993).
10. E P. Yukalova and V I. Yukalov, J. Phys. A26, 2011 (1993).
11. R.-J. Liu and T.-L. Chen, Phys. Rev. B50, 9169 (1994).
12. G S. Pawley, R H. Swedensen, D J. Wallace and K G. Wilson, Phys. Rev.29, 119 (1974).
13. S K. Gandhi and A J. McKane, Nucl. Phys. B419, 424 (1994).
14. M E. Fisher, Phys. Rev. Lett.30, 679 (1973).
15. D. Stauffer, Bull. Am. Phys. Soc.35, 18 (1973).
16. R. Balian and G. Toulouse, Phys. Rev. Lett.30, 544 (1973).
17. M J. Stephen and E. Abrahams, Phys. Lett. A44, 85 (1973).
18. Sh. Ma, Modern Theory of Critical Phenomena (Benjamin, London, 1976).
19. P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1985).
20. J.C Le Guillou and J. Zinn-Justin, Phys. Rev. Lett.39, 95 (1977).
21. A Z. Patashinski and V L. Pokrovski, Fluctuational Theory of Phase Transitions (Nauka, Moscow, 1982).
22. Y. Okabe and M. Oku, Prog. Theor. Phys.60, 126 (1978).
23. E. Brezin and J. Zinn-Justin, Phys. Rev. Lett.36, 691 (1976)
24. R. Knoebel, Am. Math. Mon.4, 235 (1981).
25. P J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971), Chap. 12.
26. J.C. Le Guillou and J. Zinn-Justin, J. Phys. (Paris)50, 1365 (1989).
27. B. Nienhus, Phys. Rev. Lett.49, 1062 (1982).
28. H. Kleinert, J. Neu, V. Schulte-Frohlinde, K G. Chetyrkin and S A. Larin, Phys. Lett. B272, 39 (1991).
29. R J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).
30. S A. Antonenko and A I. Sokolov, Phys. Rev. E51, 1894 (1995).
31. D I. Kazakov and D V. Shirkov, Fortschr. Phys.28, 465 (1980).