Lüscher公式的场论推导及有限体积形状因子的计算
Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
摘要：
我们提出了一个系统的方法来计算有限体积的能级和形状因子从动量空间有限体积两点函数。通过在体积中展开两点函数，我们提取了对运动粒子态能量和最简单的非对角形状因子的主导指数体积修正。的形状因子修正给出了一个正则化的无限体积3粒子的形状因子和条款有关的动量量子化的Lüsher修正。我们测试了这些结果对二阶拉格朗日和哈密顿微扰理论的sinh-Gordon理论，我们得到完美的协议。
英文摘要：
We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading exponential volume correction both to the energy of a moving particle state and to the simplest non-diagonal form factor. The form factor corrections are given in terms of a regularized infinite volume 3-particle form factor and terms related to the Lüsher correction of the momentum quantization. We tested these results against second order Lagrangian and Hamiltonian perturbation theory in the sinh-Gordon theory and we obtained perfect agreement.
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