Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 17, 1998, Pages 11552-11569

  Butera, P ^a   Comi, M ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001593883     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.11552     Document Type: Article

References (119)

1. H. E. Stanley, Phys. Rev. Lett. 20, 589 (1968); in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1974), Vol. 3.
2. P. Butera and M. Comi, Phys. Rev. B 54, 15 828 (1996).
3. P. Butera and M. Comi, Phys. Rev. B 56, 8212 (1997).
4. A. J. Guttmann, J. Phys. A 20, 1855 (1987).
5. M. Lüscher and P. Weisz, Nucl. Phys. B 300, 325 (1988).
6. P. Butera, M. Comi, and G. Marchesini, Phys. Rev. B 41, 11 494 (1990).
7. P. ButeraM. ComiG. MarchesiniNucl. Phys. B 300, 1 (1988).
8. F. Englert, Phys. Rev. 129, 567 (1963).
9. Phys. Rev.M. Wortis, D. Jasnow, and M. A. Moore, 185, 805 (1969).
10. M. Wortis, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1974), Vol. 3;
11. S. McKenzie, in Phase Transitions: Cargese 1980, edited by M. Levy, J. C. Le Guillou, and J. Zinn Justin (Plenum, New York, 1982).
12. G. A. Baker, H. E. Gilbert, J. Eve, and G. S. Rushbrooke (unpublished);J. M. Kincaid, G. A. Baker, and L. W. Fullerton (unpublished).
13. G. A. Baker, Quantitative Theory of Critical Phenomena (Academic, Boston, 1990).
14. R. Z. Roskies and P. D. Sackett, J. Stat. Phys. 49, 447 (1987).
15. T. Reisz, Phys. Lett. B 360, 77 (1995).
16. T. ReiszNucl. Phys. B, Proc. Suppl. 53, 841 (1997).
17. S. Mackenzie, Can. J. Phys. 57, 1239 (1979).
18. A. J. Guttmann, Phys. Rev. B 33, 5089 (1986).
19. B. G. Nickel and B. Sharpe, J. Phys. A 12, 1818 (1979).
20. R. Roskies, Phys. Rev. B 23, 6037 (1981).
21. J. W. Essam and D. L. Hunter, J. Phys. C 1, 392 (1968).
22. M. A. Moore, D. Jasnow, and M. Wortis, Phys. Rev. Lett. 22, 940 (1969).
23. H. E. Stanley, Phys. Rev. 176, 718 (1968).
24. G. S. Joyce, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1972), Vol. 2;
25. G. S. JoycePhilos. Trans. R. Soc. London 273, 583 (1973).
26. D. B. Murray and B. G. Nickel (unpublished).
27. R. Guida and J. Zinn-Justin, cond-mat/9803240 (unpublished).
28. G. Parisi (unpublished).
29. J. Stat. Phys. 23, 49 (1980);Statistical Field Theory (Addison Wesley, New York, 1988).
30. G. A. Baker, B. G. Nickel, M. S. Green, and D. I. Meiron, Phys. Rev. Lett. 36, 1351 (1976).
31. G. A. Baker, B. G. Nickel, and D. I. Meiron, Phys. Rev. B 17, 1365 (1978).
32. J. C. Le Guillou and J. Zinn Justin, Phys. Rev. Lett. 39, 95 (1977).
33. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6.
34. J. Zinn Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989);ibid., 3rd. Ed. (1996).
35. C. Itzykson and J. M. Drouffe, Statistical Field Theory (Cambridge University Press, Cambridge, 1989).
36. S. A. Antonenko and A. I. Sokolov, Phys. Rev. E 51, 1894 (1995).
37. D. M. Saul, M. Wortis, and D. Jasnow, Phys. Rev. B 11, 2571 (1975).
38. Phys. Rev. BW. J. Camp, D. M. Saul, J. P. Van Dyke, and M. Wortis, 14, 3990 (1976).
39. W. J. Camp and J. P. Van Dyke, Phys. Rev. B 19, 2579 (1979).
40. Phys. Rev. BJ. Rogiers, M. Ferer, and E. R. Scaggs, 19, 1644 (1979).
41. D. S. Gaunt, in Phase Transitions: Cargese 1980 (Ref. 7).
42. W. J. Camp, in Phase Transitions: Cargese 1980 (Ref. 7).
43. B. G. Nickel, in Phase Transitions: Cargese 1980 (Ref. 7).
44. J. Zinn Justin, J. Phys. (France) 40, 969 (1979).
45. J. Phys. (France)J. Zinn Justin42, 783 (1981).
46. J. Adler, J. Phys. A 16, 3585 (1983).
47. M. Ferer and M. J. Velgakis, Phys. Rev. B 27, 2839 (1983).
48. J. H. Chen, M. E. Fisher, and B. G. Nickel, Phys. Rev. Lett. 48, 630 (1982).
49. M. E. Fisher and J. H. Chen, J. Phys. (France) 46, 1645 (1985).
50. B. G. Nickel and J. J. Rehr, J. Stat. Phys. 61, 1 (1990).
51. A. E. Liu and M. E. Fisher, Physica A 156, 35 (1989).
52. A. E. Liu and M. E. Fisher, J. Stat. Phys. 58, 431 (1990).
53. F. Wegner, Phys. Rev. B 5, 4529 (1972).
54. V. Privman, P. C. Hohenberg, and A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, New York, 1989), Vol. 14;
55. P. C. Hohenberg, A. Aharony, B. I. Halperin, and E. D. Siggia, Phys. Rev. B 13, 2896 (1976).
56. Phys. Rev. BA. Aharony and P. C. Hohenberg, 13, 3081 (1976).
57. M. E. Fisher and K. G. Wilson, Phys. Rev. Lett. 28, 240 (1972).
58. A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Sov. Phys. JETP 50, 521 (1979).
59. K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, Phys. Lett. 99B, 147 (1981).
60. Phys. Lett.K. G. ChetyrkinA. L. KataevF. V. Tkachov101B, 457(E) (1981).
61. K. G. Chetyrkin and F. V. Tkachov, Nucl. Phys. B 192, 159 (1981).
62. K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 132B, 351 (1983).
63. D. I. Kazakov, Phys. Lett. B 133, 406 (1983).
64. S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. 101A, 120 (1984).
65. H. Kleinert, J. Neu, V. Schulte-Frohlinde, and S. A. Larin, Phys. Lett. B 272, 39 (1991).
66. Phys. Lett. BH. KleinertJ. NeuV. Schulte-FrohlindeS. A. Larin319, 545(E) (1993).
67. J. C. Le Guillou and J. Zinn Justin, Phys. Rev. B 21, 3976 (1980).
68. J. C. Le Guillou and J. Zinn Justin, J. Phys. (France) Lett. 46, 137 (1985).
69. J. C. Le GuillouJ. Zinn JustinJ. Phys. (France) 50, 1365 (1989).
70. J. Zinn Justin, in Phase Transitions: Cargese 1980 (Ref. 7).
71. A. Pelissetto and E. Vicari, Nucl. Phys. B 519, 626 (1998).
72. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D 8, 434 (1973).
73. P. G. de Gennes, Phys. Lett. 38A, 339 (1972).
74. S. K. Ma, Phys. Rev. A 10, 1818 (1974).
75. M. E. Fisher and R. J. Burford, Phys. Rev. 156, 583 (1966).
76. A. Fernandez, J. Froehlich, and A. Sokal, Random Walks, Critical Phenomena and Triviality in Quantum Field Theory (Springer Verlag, Berlin, 1992).
77. B. Li, N. Madras, and A. D. Sokal, J. Stat. Phys. 80, 661 (1995).
78. J. D. Gunton and M. J. Buckingam, Phys. Rev. 178, 848 (1969).
79. J. Glimm and A. Jaffe, Ann. Inst. Henri Poincaré, Sect. A 22, 97 (1975).
80. R. Schrader, Phys. Rev. B 14, 172 (1976).
81. M. Aizenman, Commun. Math. Phys. 86, 1 (1982); E. H. Lieb and A. D. Sokal (unpublished), results quoted in Ref. 49.
82. J. Lebowitz, Commun. Math. Phys. 35, 87 (1974).
83. M. Ferer, Phys. Rev. B 16, 419 (1977).
84. A. J. Guttmann and G. S. Joyce, J. Phys. A 5, L81 (1972).
85. D. L. Hunter and G. A. Baker, Phys. Rev. B 19, 3808 (1979).
86. M. E. Fisher and H. Au-Yang, J. Phys. A 12, 1677 (1979).
87. J. Phys. AM. E. FisherH. Au-Yang13, 1517 (1980).
88. J. Phys. AJ. J. Rehr, A. J. Guttmann, and G. S. Joyce, 13, 1587 (1980).
89. A. J. Guttmann, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, New York, 1989), Vol. 13.
90. P. Butera and M. Comi, Phys. Rev. E 55, 6391 (1997).
91. A. I. Sokolov, Fiz. Tverd. Tela (S.-Peterburg) 40, 1284 (1998).
92. R. Roskies, Phys. Rev. B 24, 5305 (1981).
93. J. Adler, M. Moshe, and V. Privman, Phys. Rev. B 26, 3958 (1982).
94. B. G. Nickel and M. Dixon, Phys. Rev. B 26, 3965 (1982).
95. B. G. Nickel, Physica A 117, 189 (1981).
96. G. A. Baker and D. L. Hunter, Phys. Rev. B 7, 3377 (1973).
97. P. de Forcrand, F. Koukiou, and D. Petritis, Phys. Lett. B 189, 341 (1987).
98. P. de ForcrandF. KoukiouD. PetritisJ. Stat. Phys. 49, 223 (1987).
99. C. Domb, The Critical Point (Taylor and Francis, London, 1996).
100. G. A. Baker, Phys. Rev. B 15, 1552 (1977).
101. G. A. Baker and J. M. Kincaid, J. Stat. Phys. 24, 469 (1981).
102. J. J. Rehr, J. Phys. A 12, L179 (1979).
103. M. M. Tsypin, Phys. Rev. Lett. 73, 2015 (1994).
104. J. K. Kim and A. Patrascioiu, Phys. Rev. D 47, 2588 (1993).
105. J. K. Kim and D. P. Landau, Nucl. Phys. B, Proc. Suppl. 53, 706 (1997).
106. G. A. Baker, Jr. and N. Kawashima, Phys. Rev. Lett. 75, 994 (1995).
107. G. A. Baker, Jr.N. KawashimaJ. Phys. A 29, 7183 (1996).
108. S. Caracciolo, M. S. Causo, and A. Pelissetto, Nucl. Phys. B, Proc. Suppl. 63(A-C), 652 (1998).
109. S. Y. Zinn, S. N. Lai, and M. E. Fisher, Phys. Rev. E 54, 1176 (1996).
110. C. Ruge, P. Zhou, and F. Wagner, Physica A 209, 431 (1994).
111. A. P. Gottlob and M. Hasenbusch, Physica A 201, 593 (1993).
112. C. Holm and W. Janke, Phys. Rev. B 48, 936 (1993).
113. M. J. George and J. J. Rehr, Phys. Rev. Lett. 53, 2063 (1984); M. J. George, Ph.D. thesis, Washington University, 1985.
114. M. C. Chang and M. C. Houghton, Phys. Rev. Lett. 44, 785 (1979).
115. M. C. Chang and J. J. Rehr, J. Phys. A 16, 3899 (1983).
116. C. Bagnuls and C. Bervillier, Phys. Rev. B 24, 1226 (1981).
117. C. BagnulsC. BervillierJ. Phys. A 19, L85 (1986).
118. H. W. J. Blöte, E. Luijten, and J. R. Heringa, J. Phys. A 28, 6289 (1995).
119. J. Phys. AA. L. Talapov and H. W. J. Blöte, 29, 5727 (1996).