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Prog. Theor. Phys. Vol. 53 No. 1 (1975) pp. 97-110

[ Full Text PDF : FREE ACCESS (1091K) ]

On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model

Masuo Suzuki

Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo

(Received May 16, 1974)

Abstract:

An extended expression of the dynamic self-energy of one-particle Green function is obtained up to order 1/m in m-component Bose systems, by means of a complex unperturbed propagator. As applications of it, dynamic critical exponents of the TDGL model as well as of a Bose system are evaluated to order 1/m, for both short-range and long-range interactions. These confirm the previous results of the TDGL model and of the Bose system for short-range interactions. An effective interaction Veff(p, iωn) is obtained to order 1/m, which is useful for discussion on anomalies of transport coefficients near the λ-transition.


URL : http://ptp.ipap.jp/link?PTP/53/97/
DOI : 10.1143/PTP.53.97

[ Full Text PDF : FREE ACCESS (1091K) ] Citation:

References:

  1. M. Suzuki and G. Igarashi, Phys. Lett. A 47 (1974), 361[CrossRef].
  2. I. Kondor and P. Szépfalusy, Phys. Lett. A 47 (1974), 393[CrossRef].
    See also P. Szépfalusy and I. Kondor, Ann. of Phys. 82 (1974), 1[CrossRef].
  3. M. Suzuki and F. Tanaka, Prog. Theor. Phys. 52 (1974), 344[PTP].
  4. C. DiCastro and G. Jona-Lasinio, Phys. Lett. A 29 (1969), 322[CrossRef].
    K. G. Wilson, Phys. Rev. B 4 (1971), 3174[APS]; ibid. 4 (1971), 3184[APS]; Phys. Rev. Lett. 28 (1972), 548[APS].
    K. G. Wilson and M. E. Fisher, Phys. Rev. Lett. 28 (1972), 240[APS].
    K. G. Wilson and J. Kogut, Phys. Rep. 12 (1974), 75[CrossRef].
    C. DiCastro, Riv. Nuovo Cim. 1 (1971), 199; Lett. Nuovo Cim. 5 (1972), 69.
    E. Brezin, J-C. Le Guillou and J. Zinn-Justin, Phys. Rev. D 8 (1973), 434[APS]; ibid. 8 (1973), 2418[APS]; ibid. 8 (1973), 5330[APS].
  5. T. Matsubara, Prog. Theor. Phys. 14 (1955), 351[PTP].
    A. A. Abrikosov, L. P. Gor'kov and I. Ye. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics (Pergamon Press, 1965).
  6. R. Abe and S. Hikami, Phys. Lett. A 47 (1974), 341 [CrossRef]and preprints.
  7. Y. Yamashita and T. Tsuneto, Prog. Theor. Phys. 51 (1974), 949[PTP]; ibid. 51 (1974), 1644[PTP].
    See also:
    T. Tsuneto and E. Abrahams, Phys. Rev. Lett. 30 (1973), 217[APS].
    M. J. Stephen and E. Abrahams, Phys. Lett. A 44 (1973), 85[CrossRef].
  8. T. Tsuneto and E. Abrahams, private communication.
    See also Ref. 3) in the first paper of Ref. 7).
  9. B. I. Halperin, P. C. Hohenberg and S. Ma, Phys. Rev. Lett. 29 (1972), 1548[APS]; Phys. Rev. B 10 (1974), 139[APS].
  10. M. Suzuki and G. Igarashi, Prog. Theor. Phys. 49 (1973), 1070[PTP].
  11. M. Suzuki, Prog. Theor. Phys. 50 (1973), 1767[PTP]; ibid. 51 (1974), 1254[PTP].
    G. Igarashi, preprint.
    Y. Kuramoto, Prog. Theor. Phys. 52 (1974), 711[PTP].
    H. Yahata, Prog. Theor. Phys. 52 (1974), 871[PTP].
    M. Suzuki and F. Tanaka, Prog. Theor. Phys. 52 (1974), 722[PTP].
    K. Kawasaki, Prog. Theor. Phys. 52 (1974), 359[PTP].
  12. M. E. Fisher, S. Ma and B. G. Nickel, Phys. Rev. Lett. 29 (1972), 917[APS].
    M. Suzuki, Y. Yamazaki, G. Igarashi, Phys. Lett. A 42 (1972), 313[CrossRef].
  13. M. Suzuki, Phys. Lett. A 42 (1972), 5[CrossRef]; Prog. Theor. Phys. 49 (1973), 424[PTP]; ibid. 49 (1973), 1017[PTP]; ibid. 49 (1973), 1106[PTP].
  14. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
  15. K. G. Wilson, Phys. Rev. Lett. 28 (1972), 548[APS].
  16. S. Ma, Phys. Rev. Lett. 29 (1972), 1311[APS]; Phys. Rev. A 7 (1973), 2172[APS]; Rev. Mod. Phys. 45 (1973), 589, [APS]and ibid, (in press).
    R. A. Ferrell and D. J. Scalapino, Phys. Rev. Lett. 29 (1972), 413[APS].
  17. A. M. Polyakov, Sov. Phys.-JETP 30 (1970), 1164.
  18. M. Suzuki, Phys. Rev. Lett. 28 (1972), 507[APS]; Prog. Theor. Phys. 50 (1973), 393[PTP].
  19. R. Abe, Prog. Theor. Phys. 48 (1972), 1414[PTP].
    R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
  20. R. A. Ferrel, N. Menyhard, H. Schmidt, F. Schwabl and P. Szépfalusy, Ann. of Phys. 47 (1968), 565[CrossRef].
    B. I. Haplerin and R. C. Hohenberg, Phys. Rev. 177 (1969), 952[APS].
  21. J. Sak, Phys. Rev. B 8 (1973), 281[APS].
  22. M. Suzuki, Prog. Theor. Phys. 43 (1970), 882[PTP].
  23. M. Suzuki, Phys. Lett. A 48 (1974), 315[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 289-290 :
    Coherent Representation of Dynamical Renormalization Group in Bose Systems
    Fumihiko Tanaka
  2. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1679-1692 :
    Coherent Representation of Dynamical Renormalization Group in Bose Systems
    Fumihiko Tanaka

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