Correlation functions in a c = 1 boundary conformal field theory
Correlation functions in a c = 1 boundary conformal field theory
复制标题
c = 1 边界共形场理论中的相关函数
DOI：
10.1088/1126-6708/2005/01/047
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发表时间：
2004
影响因子：
5.4
通讯作者：
L. Thorlacius
中科院分区：
文献类型：
--
作者：
K. Kristjánsson;L. Thorlacius
我们获得了标量场与临界周期性边界势相互作用的二维共角场论中主算子相关函数的精确结果。涉及任意体离散主场的振幅以 SU(2) 旋转系数给出，而涉及离散边界场的边界振幅与边界相互作用无关。还可以明确获得涉及体离散场和边界离散场的混合振幅。涉及一般动量场的两点和三点边界振幅由理论开弦部分的能带谱确定，直至乘法常数。
We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete primary fields are given in terms of SU(2) rotation coefficients while boundary amplitudes involving discrete boundary fields are independent of the boundary interaction. Mixed amplitudes involving both bulk and boundary discrete fields can also be obtained explicitly. Two- and three-point boundary amplitudes involving fields at generic momentum are determined, up to multiplicative constants, by the band spectrum in the open-string sector of the theory.