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Prog. Theor. Phys. Vol. 66 No. 1 (1981) pp. 101-117

[ Full Text PDF : FREE ACCESS (662K) ]

The Quantum Sine-Gordon Model and the Fermi-Bose Relation

Satoshi Takada and Susumu Misawa*

Institute of Physics, University of Tsukuba, Ibaraki 305
*Kodama High School, Kodama, Saitama 367-02

(Received December 27, 1980)

Abstract:

The Fermi-Bose relation is examined in detail. By the use of the Fermi-Bose relation we transform the sine-Gordon model into the massive Thirring model and investigate the massive Thirring model from the viewpoint of solid state physics where the momentum is cut off at a constant of the order of the inverse lattice constant. The energies of the soliton and of the soliton-antisoliton bound state are calculated in the weak coupling case and compared with those of Dashen, Hasslacher and Neveu; the results thus obtained agree very well with those of the above authors. It is shown that the soliton-soliton bound state, which has no classical analogue and is thus characteristic of the quantum models, appears in the attractive Fermion case. The correlation function which is connected with the central-peak problem is also calculated for the free soliton case, and the result is shown to be in good agreement with the one derived from the ideal gas approximation in the semiclassical approach. Lastly the transition to the zero mass state corresponding to the Kosterlitz Thouless transition is briefly discussed.


URL : http://ptp.ipap.jp/link?PTP/66/101/
DOI : 10.1143/PTP.66.101

[ Full Text PDF : FREE ACCESS (662K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 60 (1991) pp. 1939-1942 :
    Haldane Gap in the Spin-1/2Double Chain Anisotropic Heisenberg Antiferromagnet
    Kazuo Hida
  2. Journal of the Physical Society of Japan 63 (1994) pp. 1639-1642 :
    Towards the Mott Transition in One Dimension
    Michiyasu Mori, Hidetoshi Fukuyama and Masatoshi Imada
  3. Journal of the Physical Society of Japan 65 (1996) pp. 3604-3614 :
    Charge Excitations in Doped Mott Insulator in One Dimension
    Michiyasu Mori and Hidetoshi Fukuyama
  4. Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 19-28 :
    A Self-Consistent Treatment of the Kosterlitz-Thouless Transition of the Two-Dimensional Classical Sine-Gordon Model
    Toshifumi Sakaguchi, Tsuguhiro Tamaribuchi and Satoshi Takada
  5. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1291-1294 :
    Commensurate-Incommensurate Transition in a Two Dimensional Classical Sine-Gordon System
    Hikaru Yamamoto

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