Deviation of Upper Bounds of Critical Temperature of Two-Dimensional O(N) Spin Models

Letters in Mathematical Physics

Volumn 44, Issue 4, 1998, Pages 339-348

  Ito, K R ^a,b   Tamura, H ^c  

^a SETSUNAN UNIVERSITY   (Japan)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^c KANAZAWA UNIVERSITY   (Japan)

Author keywords

Determinant; Polymer (N 1) expansion; Spin model

Indexed keywords

EID: 1842787653     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007491808611     Document Type: Article

References (19)

1. Wilson, K.: Phys. Rev. D 10 (1974), 2445; Rev. Modern Phys. 55 (1983), 583; Polyakov, A.: Phys. Lett. B 59 (1975), 79.
2. Wilson, K.: Phys. Rev. D 10 (1974), 2445; Rev. Modern Phys. 55 (1983), 583; Polyakov, A.: Phys. Lett. B 59 (1975), 79.
3. Wilson, K.: Phys. Rev. D 10 (1974), 2445; Rev. Modern Phys. 55 (1983), 583; Polyakov, A.: Phys. Lett. B 59 (1975), 79.
4. Ito, K. R. Phys. Rev. Lett. 55 (1985), 558; Comm. Math. Phys. 110 (1987), 46; Comm. Math. Phys. 137 (1991), 45.
5. Ito, K. R. Phys. Rev. Lett. 55 (1985), 558; Comm. Math. Phys. 110 (1987), 46; Comm. Math. Phys. 137 (1991), 45.
6. Ito, K. R. Phys. Rev. Lett. 55 (1985), 558; Comm. Math. Phys. 110 (1987), 46; Comm. Math. Phys. 137 (1991), 45.
7. Binder, K.: in: C. Domb and M. S. Green (eds), Phase Transition and Critical Phenomena, vol. 5B, Academic Press, New York, 1976.
8. Seiler, E. and Patraciou, A.: Nuclear Phys. B (Proc. Suppl.) 30 (1993), 184; Phys. Rev. Lett. 608 (1988), 75.
9. Seiler, E. and Patraciou, A.: Nuclear Phys. B (Proc. Suppl.) 30 (1993), 184; Phys. Rev. Lett. 608 (1988), 75.
10. Ito, K. R., Kugo, T. and Tamura, H.: Comm. Math. Phys. 183 (1997), 723.
11. Brydges, D., Fröhlich, J. and Spencer, T.: Comm. Math. Phys. 83 (1982), 123.
12. Brydges, D.: A short course on cluster expansions, in: K. Osterwalder et al. (eds), Les Houch Summer School, Session XLIII (1984), Elsevier, Amsterdam, 1986.
13. Gawedzki, K. and Kupiainen, A.: Comm. Math. Phys. 99 (1985), 197.
14. Rivasseau, V.: Cluster expansion with small/large field conditions, in: J. Feldman et al. (eds), Mathematical Quantum Theory I: Field Theory and Many-Body Theory, CRM Proc. Lecture Notes 7, Amer. Math Soc., Providence, 1994.
15. Ito, K. R. and Tamura, H.: Paper to be published.
16. Ma, S. K.: The 1/n expansion, in: C. Domb and M. S. Green (eds), Phase Transitions and Critical Phenomena 6, Academic Press, London, 1976, p. 249.
17. Caracciolo, S., Edwards, R., Plisetto, A. and Sokal, A.: Phys. Rev. Lett. 74 (1995), 2969; 75 (1996), 1891 and references therein.
18. Caracciolo, S., Edwards, R., Plisetto, A. and Sokal, A.: Phys. Rev. Lett. 74 (1995), 2969; 75 (1996), 1891 and references therein.
19. Fröhlich, J., Israel, R., Lieb, E. H. and Simon, B.: Comm. Math. Phys. 62 (1978), 1.