---

Prog. Theor. Phys. Vol. 65 No. 6 (1981) pp. 1835-1843

d'-Dimensional Defect in d-Dimensional Lattice. II

— Local Exponents β', γ' and ν' in the Limit n→∞ —

Ryuzo Abe

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153

(Received February 20, 1981)

Abstract:

By generalizing a previous treatment, local critical exponents β', γ' and ν' in the defect space are studied in the limit n→∞. Actual calculations are carried out up to the order of λ. It is shown that these exponents satisfy usual scaling law relations up to this order.

URL : http://ptp.ipap.jp/link?PTP/65/1835/
DOI : 10.1143/PTP.65.1835

[ Full Text PDF : FREE ACCESS (264K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. R. Abe, Prog. Theor. Phys. 65 (1981), 1237[PTP].
2. R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
3. R. Abe, Prog. Theor. Phys. 59 (1978), 742[PTP].
4. R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
5. R. J. Baxter, Phys. Rev. Lett. 26 (1971), 832[APS].
   F. W. Wu, Phys. Rev. B 4 (1971), 2312[APS].
   L. P. Kadanoff and F. J. Wegner, Phys. Rev. B 4 (1971), 3989[APS].
6. J. M. Kosterlitz, J. of Phys. C 17 (1974), 1046[IoP STACKS].
7. B. M. McCoy and J. H. H. Perk, Phys. Rev. Lett. 44 (1980), 840[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1604-1611 :

   1/ n Expansion for Weakly Random System with Impurity Correlation

   Kazuhisa Yamamoto and Ryuzo Abe

2. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1947-1958 :

   Two-Dimensional Defect in Three-Dimensional Lattice

   Kazuhisa Yamamoto and Ryuzo Abe

3. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 139-146 :

   Two-Dimensional Defect in Three-Dimensional Lattice

   Ryuzo Abe and Kazuhisa Yamamoto

4. Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 464-479 :

   Higher Order Calculations for d-Dimensional Lattice with d^′-Dimensional Defect

   Ryuzo Abe, Kazuhisa Yamamoto and Kazuo Ideura

5. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 366-371 :

   d'-Dimensional Defect in d-Dimensional Lattice. III

   Ryuzo Abe

6. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1226-1239 :

   The 1/n Expansion for the n-Vector Model in the Semi-Infinite Space

   Kaoru Ohno and Yutaka Okabe

7. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 27-34 :

   d'-Dimensional Defect in d-Dimensional Lattice

   Kazuo Ideura and Ryuzo Abe

8. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 736-745 :

   The 1/n Expansion for the Extraordinary Transition of Semi-Infinite System

   Kaoru Ohno and Yutaka Okabe

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.