MASS SCALE IN THE SINE–GORDON MODEL AND ITS REDUCTIONS
MASS SCALE IN THE SINE–GORDON MODEL AND ITS REDUCTIONS
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DOI：
10.1142/s0217751x9500053x
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发表时间：
1995-03
影响因子：
1.6
通讯作者：
A. Zamolodchikov
中科院分区：
文献类型：
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作者：
A. Zamolodchikov
已知的关于正弦-戈登分解散射的 Bethe ansatz 结果根据扰动共形场理论进行了重新解释。我们获得了紫外尺度和渐近尺度之间（即维度耦合常数和孤子质量之间）的精确关系以及真空能量的显式表达式。然后，简化技术允许人们将耦合常数与 Φ13 扰动最小 CFT 模型中的质量尺度精确关联起来。初步讨论了 8π 附近 β2 处的渐近自由情况。
Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory. We obtain an exact relation between the ultraviolet and asymptotic scales (i.e. between the dimensional coupling constant and the soliton mass) and an explicit expression for the vacuum energy. The reduction technique then permits one to relate exactly the coupling constants and the mass scales in the Φ13-perturbed minimal CFT models. The preasymptotically free situation at β2 near 8π is discussed on a preliminary footing.