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Prog. Theor. Phys. Vol. 60 No. 4 (1978) pp. 968-974

[ Full Text PDF : FREE ACCESS (513K) ]

Phase Transition in 2-D Sine-Gordon System

Takao Ohta

Department of Physics, Kyushu University, Fukuoka 812

(Received May 19, 1978)

Abstract:

The renormalization group equations for the sine-Gordon system with a short wave-length cutoff in two dimensions are derived by means of a momentum-shell recursion method. In a special limit they agree with the Kosterlitz renormalization group equations which describe the critical properties of the phase transitions of the two-dimensional (2-D) neutral Coulomb gas with single charges ±1 and of the 2-D isotropic X-Y model in the absence of an external field. The results, therefore, give rise to a possibility that certain classes of phase transitions in low dimensions can be described in a unified way with the sine-Gordon Hamiltonian.


URL : http://ptp.ipap.jp/link?PTP/60/968/
DOI : 10.1143/PTP.60.968

[ Full Text PDF : FREE ACCESS (513K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 65 (1996) pp. 2889-2894 :
    Existence of Critical Disorder and Vanishing of Mass by Replica-Symmetry Breaking in Random Sine-Gordon Model
    Tomohei Sasada
  2. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 74-85 :
    Effects of the Gravitational Field on the Surface Roughening Transition
    Takao Ohta, Motoya Fujio and Kyozi Kawasaki
  3. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 363-364 :
    Exact Relation between the Sine-Gordon System and the Coulomb Gas System
    Hikaru Yamamoto
  4. Progress of Theoretical Physics Vol. 61 No. 5 (1979) pp. 1295-1306 :
    First Order Melting Transition in the Incommensurate Phase
    Hikaru Yamamoto
  5. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 927-935 :
    Magnetic Correlation Function of the Two-Dimensional Planar Spin Model
    Yukio Saito
  6. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 785-796 :
    Phase Transition of a Two-Component Sine-Gordon System in Two Dimensions
    Takao Ohta
  7. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 340-343 :
    Surface Roughening with Screw Dislocations
    Takao Ohta
  8. Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 820-830 :
    The Kosterlitz-Thouless Transition in the Quantum Sine-Gordon Model and the Corresponding Classical Film System
    Satoshi Takada, Toshifumi Sakaguchi and Susumu Misawa
  9. 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

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