Prog. Theor. Phys. Vol. 60 No. 5 (1978) pp. 1277-1286

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1/n Expansion Up to Order 1/n². II

— Critical Exponent β for d=3 —

Yutaka Okabe and Michiyoshi Oku

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

(Received May 6, 1978)

Abstract:

By means of 1/n expansion, the low-temperature critical behavior of the classical n-vector model is studeid. The discussion is restricted to a three-dimensional lattice with a short-range interaction. The critical exponent β is computed up to oreder 1/n².

URL : http://ptp.ipap.jp/link?PTP/60/1277/
DOI : 10.1143/PTP.60.1277

References:

R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
S. Ma, Phys. Rev. A 7 (1973), 2172[APS].
R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
Y. Okabe, M. Oku and R. Abe, Prog. Theor. Phys. 59 (1978), 1825[PTP].
R. Abe, Prog. Theor. Phys. 49 (1973), 1877[PTP].
H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford Univ. Press, New York and Oxford, 1971).
E. Brezin, J. C. Le Guillou, J. Zinn-Justin and B. G. Nickel, Phys. Lett. A 44 (1973), 227[CrossRef].
I. Kondor and T. Temesvári, J. de Phys. Lett. 39 (1978), L99.

Citing Article(s) :

Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1287-1297 :
1/n Expansion Up to Order 1/n². III

Yutaka Okabe and Michiyoshi Oku
Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 443-451 :
1/n Expansion Up to Order1/n². IV

Michiyoshi Oku and Yutaka Okabe
Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 98-106 :
Some Remarks on the n=0 Problem in Critical Phenomena

Ryuzo Abe
Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1528-1540 :
Spherical Limit of Coupled Time-Dependent n-Vector Models. I

Michiyoshi Oku
Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 813-819 :
Modification of 1/n Expansion in Critical Phenomena

Ryuzo Abe
Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1179-1190 :
Higher-Order Calculations for Weakly Random System in 1/n Expansion

Kazuo Ideura, Yutaka Okabe and Ryuzo Abe
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
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
Progress of Theoretical Physics Vol. 95 No. 2 (1996) pp. 409-420 :
The Effectiveness of the Local Potential Approximation in the Wegner-Houghton Renormalization Group

Ken-Ichi Aoki, Keiichi Morikawa, Wataru Souma, Jun-Ichi Sumi and Haruhiko Terao

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