Heat-kernel approach for scattering
Heat-kernel approach for scattering
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DOI：
10.1140/epjc/s10052-015-3512-8
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发表时间：
2015-03
期刊：
影响因子：
--
通讯作者：
Wen-Du Li;Wu-Sheng Dai
中科院分区：
文献类型：
--
作者：
Wen-Du Li;Wu-Sheng Dai
基于两种量子场论方法--热核方法和散射谱方法，构造了一种求解散射问题的方法。这种方法将计算热核的方法转化为求解散射问题的方法。这使我们能够建立一个方法的散射问题的方法，从热内核的方法。作为应用，我们构造了一种基于热核展开的协变微扰理论求解散射问题的方法。为了将热核方法应用于散射问题，我们首先在协变微扰理论的框架下计算了非对角热核展开。此外，作为本文提出的热核和分波相移之间的关系的另一种应用，我们给出了一个例子，如何计算一个全球热核从一个已知的散射相移。
An approach for solving scattering problems, based on two quantum field theory methods, the heat-kernel method and the scattering spectral method, is constructed. This approach converts a method of calculating heat kernels into a method of solving scattering problems. This allows us to establish a method of scattering problems from a method of heat kernels. As an application, we construct an approach for solving scattering problems based on the covariant perturbation theory of heat-kernel expansions. In order to apply the heat-kernel method to scattering problems, we first calculate the off-diagonal heat-kernel expansion in the frame of covariant perturbation theory. Moreover, as an alternative application of the relation between heat kernels and partial-wave phase shifts presented in this paper, we give an example of how to calculate a global heat kernel from a known scattering phase shift.