Angular quantization and form factors in massive integrable models

Angular quantization and form factors in massive integrable models
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大规模可积模型中的角度量化和形状因素

DOI:
10.1016/s0550-3213(97)00713-x
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发表时间:
1997
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
S. Lukyanov
S. Lukyanov
中科院分区:
--
文献类型:
--
作者:
V. A. Brazhnikov;S. Lukyanov;S. Lukyanov

文献摘要

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讨论了角量子化方法在重构大质量可积模型中局域场形状因子中的应用。一般的形式主义说明与克莱因-戈登,辛-戈登和Bullough-Dodd模型的例子。对于后两种模型的角量子化方法使得有可能获得指数算子的形状因子的自由场表示。我们讨论了Virasoro代数的自由场表示和变形之间的有趣关系。与Bullough-Dodd模型相关的变形似乎与已知的变形Virasoro代数不同。
We discuss an application of the method of angular quantization to the reconstruction of form factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form factors of exponential operators. We discuss an intriguing relation between the free field representations and deformations of the Virasoro algebra. The deformation associated with the Bullough-Dodd models appears to be different from the known deformed Virasoro algebra.