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:
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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