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Prog. Theor. Phys. Vol. 61 No. 2 (1979) pp. 443-451

1/n Expansion Up to Order1/n². IV

— Critical Amplitude Ratio R_χ —

Michiyoshi Oku and Yutaka Okabe

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

(Received October 7, 1978)

Abstract:

As one of the series of papers on 1/n expansion of the classical n-vector model up to O(1/n²), the universal amplitude ratio R_χ=ΓDB^δ-1 is investigated up to O(1/n²) in the present paper. The 1/n² term for R_χ is calculated numerically for d=3. In case of the critical exponent β, γ or ν, the result of the second-order calculation is not satisfactory for small values of n. On the contrary, the situation is much better for R_χ. The numerical value obtained is R_χ=1.20 for n=3 at d=3, which is almost equal to that of high-temperature expansion, R_χ=1.23.

URL : http://ptp.ipap.jp/link?PTP/61/443/
DOI : 10.1143/PTP.61.443

[ Full Text PDF : FREE ACCESS (582K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 98-106 :

   Some Remarks on the n=0 Problem in Critical Phenomena

   Ryuzo Abe

2. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1528-1540 :

   Spherical Limit of Coupled Time-Dependent n-Vector Models. I

   Michiyoshi Oku

3. 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

4. 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

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