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Acta Physica Sinica (Overseas Edition), 1994, Vol. 3(10): 721-729    DOI: 10.1088/1004-423X/3/10/001
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS   Next  

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
a Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; b Department of Physics, Tongji University, Shanghai 200092, China
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.
Received:  19 November 1993      Accepted manuscript online: 
PACS:  11.10.Lm (Nonlinear or nonlocal theories and models)  
  11.10.St (Bound and unstable states; Bethe-Salpeter equations)  
  03.70.+k (Theory of quantized fields)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

LU WEN-FA (卢文发), XU BO-WEI (许伯威), ZHANG YU-MEI (章豫梅) TWO-PARTICLE BOUND STATES IN THE QUANTUM SINE-GORDON FIELD THEORY IN (D+1) DIMENSIONS 1994 Acta Physica Sinica (Overseas Edition) 3 721

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