Hyperscaling in the broken symmetry phase of Dyson's hierarchical model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 11, 2000, Pages 1-11

  Godina, J J ^a   Meurice, Y ^b   Oktay, M B ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044362693     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. M. Caselle, M. Hasenbush, and P. Provero, hep-lat/9907018, to appear in the Proceedings of Lattice 99.
2. P. Cea, M. Consoli, and L. Cosmai, hep-lat/9909055, to appear in the Proceedings of Lattice 99.
3. J. Engels and T. Mendes, hep-lat/9909013, to appear in the Proceedings of Lattice 99.
4. K. Wilson, Phys. Rev. B 4, 3185 (1971); Phys. Rev. D 3, 1818 (1971); K. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974); K. Wilson, Phys. Rev. D 6, 419 (1972).
5. K. Wilson, Phys. Rev. B 4, 3185 (1971); Phys. Rev. D 3, 1818 (1971); K. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974); K. Wilson, Phys. Rev. D 6, 419 (1972).
6. K. Wilson, Phys. Rev. B 4, 3185 (1971); Phys. Rev. D 3, 1818 (1971); K. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974); K. Wilson, Phys. Rev. D 6, 419 (1972).
7. K. Wilson, Phys. Rev. B 4, 3185 (1971); Phys. Rev. D 3, 1818 (1971); K. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974); K. Wilson, Phys. Rev. D 6, 419 (1972).
8. F. Dyson, Commun. Math. Phys. 12, 91 (1969); G. Baker, Phys. Rev. B 5, 2622 (1972).
9. F. Dyson, Commun. Math. Phys. 12, 91 (1969); G. Baker, Phys. Rev. B 5, 2622 (1972).
10. J. J. Godina, Y. Meurice, B. Oktay, and S. Niermann, Phys. Rev. D 57, 6326 (1998).
11. J. J. Godina, Y. Meurice, and B. Oktay, Phys. Rev. D 57, R6581 (1998); 59, 096002 (1999).
12. J. J. Godina, Y. Meurice, and B. Oktay, Phys. Rev. D 57, R6581 (1998); 59, 096002 (1999).
13. H. Koch and P. Wittwer, Math. Phys. Electr. J. 1, Paper No. 6 (1995).
14. M. Fisher and J. Chen, J. Phys. (Paris) 46, 1645 (1985).
15. P. Bleher and Y. Sinai, Commun. Math. Phys. 45, 247 (1975); P. Collet and J. P. Eckmann, ibid. 55, 67 (1977); H. Koch and P. Wittwer, ibid. 106, 495 (1986); 138, 537 (1991); 164, 627 (1994).
16. P. Bleher and Y. Sinai, Commun. Math. Phys. 45, 247 (1975); P. Collet and J. P. Eckmann, ibid. 55, 67 (1977); H. Koch and P. Wittwer, ibid. 106, 495 (1986); 138, 537 (1991); 164, 627 (1994).
17. P. Bleher and Y. Sinai, Commun. Math. Phys. 45, 247 (1975); P. Collet and J. P. Eckmann, ibid. 55, 67 (1977); H. Koch and P. Wittwer, ibid. 106, 495 (1986); 138, 537 (1991); 164, 627 (1994).
18. P. Bleher and Y. Sinai, Commun. Math. Phys. 45, 247 (1975); P. Collet and J. P. Eckmann, ibid. 55, 67 (1977); H. Koch and P. Wittwer, ibid. 106, 495 (1986); 138, 537 (1991); 164, 627 (1994).
19. P. Bleher and Y. Sinai, Commun. Math. Phys. 45, 247 (1975); P. Collet and J. P. Eckmann, ibid. 55, 67 (1977); H. Koch and P. Wittwer, ibid. 106, 495 (1986); 138, 537 (1991); 164, 627 (1994).
20. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, New York, 1971).
21. M. Fisher, in Critical Phenomena, Lecture Notes in Physics Vol. 186, edited by F. Hahne (Springer-Verlag, Berlin, 1983).
22. Y. Meurice and S. Niermann, Phys. Rev. E 60, 2612 (1999).
23. Y. Meurice, G. Ordaz, and V. G. J. Rodgers, Phys. Rev. Lett. 75, 4555 (1995); Y. Meurice, S. Niermann, and G. Ordaz, J. Stat. Phys. 87, 363 (1997).
24. Y. Meurice, G. Ordaz, and V. G. J. Rodgers, Phys. Rev. Lett. 75, 4555 (1995); Y. Meurice, S. Niermann, and G. Ordaz, J. Stat. Phys. 87, 363 (1997).
25. K. Rajagopal and F. Wilczek, Nucl. Phys. B399, 395 (1993).
26. J. Glimm and A. Jaffe, Quantum Physics (Springer-Verlag, New York, 1987).
27. G. Baker and G. Golner, Phys. Rev. B 16, 2801 (1977).