Composite branch-point twist fields in the Ising model and their expectation values
Composite branch-point twist fields in the Ising model and their expectation values
复制标题
Ising模型中复合分支点扭曲场及其期望值
DOI：
10.1088/1751-8113/45/27/275401
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
E. Levi
中科院分区：
文献类型：
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作者：
E. Levi
我们研究了n-拷贝伊辛模型的一个特殊的两点函数。也就是说，涉及能量场和分支点扭曲场的相关函数。后者是与对称性的理论下循环排列的副本。我们使用一个形状因子的扩展，以获得一个精确的积分表示，并找到其完整的短程扩展。这使我们能够识别所有的字段在短距离大量OPE的相关函数的检查，并固定其期望值，共形结构常数和大量的修正。大部分贡献是由复合场及其导数给出的。我们发现所有非零的形式因素，这后一个运营商。
We investigate a particular two-point function of the n-copy Ising model. That is, the correlation function involving the energy field and the branch-point twist field. The latter is associated with the symmetry of the theory under cyclic permutations of its copies. We use a form factor expansion to obtain an exact integral representation of and find its complete short-distance expansion. This allows us to identify all the fields contributing in the short-distance massive OPE of the correlation function under examination, and fix their expectation values, conformal structure constants and massive corrections thereof. Most contributions are given by the composite field and its derivatives. We find all non-vanishing form factors of this latter operator.