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Prog. Theor. Phys. Vol. 59 No. 6 (1978) pp. 1825-1833

[ Full Text PDF : FREE ACCESS (475K) ]

1/n Expansion up to Order 1/n2. I

— Equation of State and Correlation Function —

Yutaka Okabe, Michiyoshi Oku and Ryuzo Abe

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

(Received January 28, 1978)

Abstract:

This paper is concerned with a generalization of Abe and Hikami's theory which deals with the terms up to 1/n in the scheme of 1/n expansion. By extending their calculations by one more order, the general expressions for the equation of state and for the correlation function are derived up to the order 1/n2. Results are expressed by means of a number of diagrams.


URL : http://ptp.ipap.jp/link?PTP/59/1825/
DOI : 10.1143/PTP.59.1825

[ Full Text PDF : FREE ACCESS (475K) ] Citation:

References:

  1. R. Abe, Prog. Theor. Phys. 49 (1973), 113[PTP].
    R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
  2. M. Suzuki, Prog. Theor. Phys. 49 (1973), 424[PTP]; ibid. 49 (1973), 1106[PTP].
  3. R. Abe, Prog. Theor. Phys. 49 (1973), 1877[PTP].
  4. R. Abe and S. Hikami, Prog. Theor. Phys. 51 (1974), 1041[PTP].
  5. R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1197[PTP].
  6. R. Abe and S. Hikami, Prog. Theor. Phys. 57 (1977), 1538[PTP]; ibid. 57 (1977), 1932[PTP].
  7. Y. Okabe, Prog. Theor. Phys. 59 (1978), 386[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1277-1286 :
    1/n Expansion Up to Order 1/n2. II
    Yutaka Okabe and Michiyoshi Oku
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 98-106 :
    Some Remarks on the n=0 Problem in Critical Phenomena
    Ryuzo Abe
  5. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1528-1540 :
    Spherical Limit of Coupled Time-Dependent n-Vector Models. I
    Michiyoshi Oku
  6. 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
  7. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 77-89 :
    Quenched System in the Spherical Limit of the Random n-Vector Model
    Michiyoshi Oku
  8. 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
  9. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1959-1969 :
    Critical Amplitude Ratio ξ0+/ξ0T in 1/n and ε Expansions
    Yutaka Okabe and Kazuo Ideura
  10. 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
  11. 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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