论文标题

计算一环有效作用和真空能量的散射方法

Scattering approach for calculating one-loop effective action and vacuum energy

论文作者

Liu, Yuan-Yuan, Li, Shi-Lin, Chen, Yu-Jie, Li, Wen-Du, Dai, Wu-Sheng

论文摘要

我们提出了一种计算量子场理论中一环有效作用和真空能量的方法。光谱函数是操作员特征值定义的函数。量子场理论中的一环有效作用和真空能,以及量子力学中的散射相位移动和散射幅度,都是光谱函数。如果确定了不同光谱函数之间的转换,我们可以通过转换从另一个角度获得光谱函数。在本文中,我们将用于计算散射相移和散射幅度的量子力学方法转换为量子场理论方法,以计算一环有效作用和真空能量。

We propose an approach for calculating one-loop effective actions and vacuum energies in quantum field theory. Spectral functions are functions defined by the eigenvalues of an operator. One-loop effective actions and vacuum energies in quantum field theory, as well as scattering phase shifts and scattering amplitudes in quantum mechanics, are all spectral functions. If a transformation between different spectral functions is identified, we can obtain a spectral function from another through the transformation. In this paper, we convert quantum mechanical methods for calculating scattering phase shifts and scattering amplitudes into quantum field theory methods for calculating one-loop effective actions and vacuum energies.

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