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arXiv 0712.1886hep-thcond-mat.other
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有限体积中的边界形状因子

Boundary form factors in finite volume

M. Kormos, G. Takacs

摘要:

我们描述了局部边界场的矩阵元素的体积依赖性的体积的逆功率的所有订单。以标度边界Lee-Yang模型为例,比较了边界截断共形空间方法提取的矩阵元素和Bootstrap方法得到的精确形状因子。我们得到了坚实的确认边界形状因子自举,这是不同于所有以前可用的测试,因为它是一个非微扰和直接的比较精确的形状因子多粒子矩阵元素的本地运营商,计算从哈密顿制定的量子场论。

英文摘要:

We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary truncated conformal space approach to exact form factors obtained using the bootstrap method. We obtain solid confirmation for the boundary form factor bootstrap, which is different from all previously available tests in that it is a non-perturbative and direct comparison of exact form factors to multi-particle matrix elements of local operators, computed from the Hamiltonian formulation of the quantum field theory.

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