中国物理B ›› 1994, Vol. 3 ›› Issue (10): 721-729.doi: 10.1088/1004-423X/3/10/001

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TWO-PARTICLE BOUND STATES IN THE QUANTUM SINE-GORDON FIELD THEORY IN (D+1) DIMENSIONS

卢文发1, 许伯威1, 章豫梅2   

  1. (1)Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; (2)Department of Physics, Tongji University, Shanghai 200092, China
  • 收稿日期:1993-11-19 出版日期:1994-10-20 发布日期:1994-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

TWO-PARTICLE BOUND STATES IN THE QUANTUM SINE-GORDON FIELD THEORY IN (D+1) DIMENSIONS

LU WEN-FA (卢文发)a, XU BO-WEI (许伯威)a, ZHANG YU-MEI (章豫梅)b   

  1. a Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; b Department of Physics, Tongji University, Shanghai 200092, China
  • Received:1993-11-19 Online:1994-10-20 Published:1994-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： The two-particle states of the quantum sine-Gordon fields are studied variationally in (D+1) dimensions using the Gaussian wave functional approach. In both (1+1) and (2+1) dimensions, there exist two-particle bound states for certain ranges of coupling constant, where the vacuum states are stable. In the higher dimensions (D > 2), this approximation indicates that the two-particle states may be only the states consisting of two free particles, which is conformable to the triviality of the sine-Gordon field theory previously obtained in recent literatures.

Abstract: The two-particle states of the quantum sine-Gordon fields are studied variationally in (D+1) dimensions using the Gaussian wave functional approach. In both (1+1) and (2+1) dimensions, there exist two-particle bound states for certain ranges of coupling constant, where the vacuum states are stable. In the higher dimensions (D > 2), this approximation indicates that the two-particle states may be only the states consisting of two free particles, which is conformable to the triviality of the sine-Gordon field theory previously obtained in recent literatures.

中图分类号:  (Nonlinear or nonlocal theories and models)

  • 11.10.Lm
11.10.St (Bound and unstable states; Bethe-Salpeter equations) 03.70.+k (Theory of quantized fields)