---

Prog. Theor. Phys. Vol. 57 No. 5 (1977) pp. 1538-1546

Consistency for a Critical Amplitude Ratio R_χ in 1/n and ε Expansions

Ryuzo Abe and Shinobu Hikami^*

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153
^*Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received October 28, 1976)

Abstract:

A critical amplitude ratio R_χ is studied in both 1/n and ε expansions. The terms up to 1/n and ε² are studied in both expansions, and it is shown that the results are consistent in an overlapping region (1/n ≪1, ε≪1).

URL : http://ptp.ipap.jp/link?PTP/57/1538/
DOI : 10.1143/PTP.57.1538

[ Full Text PDF : FREE ACCESS (490K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. K. G. Wilson and J. B. Kogut, Phys. Rep. C 12 (1974), 75[CrossRef].
   S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, 1976, New York).
   M. E. Fisher, Rev. Mod. Phys. 46 (1974), 597[APS].
2. R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
3. R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
4. S. Hikami, Prog. Theor. Phys. 49 (1973), 1096[PTP].
5. M. Suzuki, Prog. Theor. Phys. 49 (1973), 424[PTP]; ibid. 49 (1973), 1106[PTP].
6. S. K. Ma, Phys. Rev. A 7 (1973), 2172[APS].
7. S. Hikami and R. Abe, Prog. Theor. Phys. 53 (1974), 369[PTP].
8. Y. Yamazaki, Phys. Lett. A 49 (1974), 215[CrossRef].
9. M. E. Fisher and A. Aharony, Phys. Rev. Lett. 31 (1973), 1238[APS]; Phys. Rev. B 10 (1974), 2818[APS].
10. A. Aharony, Phys. Lett. A 46 (1973), 287[CrossRef]; Phys. Rev. B 10 (1974), 2934[APS].
11. R. Abe, Prog. Theor. Phys. 53 (1975), 1836[PTP].
12. A. Aharony and P. Hohenberg, Phys. Rev. B 13 (1976), 3081[APS].
13. R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
14. E. Brezin, D. J. Wallace and K. G. Wilson, Phys. Rev. B 7 (1973), 232[APS].
15. R. Abe, Prog. Theor. Phys. 49 (1973), 1877[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 1932-1938 :

   Scaling Function for Equation of State in 1/n and ε Expansions

   Ryuzo Abe and Sinobu Hikami

2. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 386-392 :

   Logarithmic Corrections to a Simple Power Law at d = 4 in 1/n Expansion

   Yutaka Okabe

3. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 672-673 :

   Note on ε Expansion for Critical Amplitude Ratio R_χ

   Ryuzo Abe and Mitiko Masutani

4. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1478-1482 :

   Scaling Function for Equation of State

   Ryuzo Abe

5. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1825-1833 :

   1/n Expansion up to Order 1/n². I

   Yutaka Okabe, Michiyoshi Oku and Ryuzo Abe

6. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1959-1969 :

   Critical Amplitude Ratio ξ₀⁺/ξ₀^T in 1/n and ε Expansions

   Yutaka Okabe and Kazuo Ideura

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.