论文标题
使用光谱正则化对H原子的主要订单贡献的计算
Computation of the leading order contributions to the Lamb shift for the H atom using spectral regularization
论文作者
论文摘要
可以根据UEHLING的潜在函数准确计算对羔羊移位的UEHLING贡献。但是，该功能的推导是复杂的，涉及使用早期量子场理论（QFT）的复杂技术避免差异，否则使用电荷和质量重归于的更现代的方法。在本文中，我们以相当直接的方式得出UEHLING电位函数，而不涉及重新归一化的方式，在这种方式中，真空极化张量被视为Minkowski空间上的Lorentz不变的2张量值。此外，我们计算了电子自能量对羔羊移位的贡献的复杂矩阵有价值的电位函数。所得的潜在函数是以一种概念上的简单方式得出的，而不涉及重新归一化，可用于涉及多个循环的QFT中的高阶计算。
The Uehling contribution to the Lamb shift can be computed exactly in terms of the Uehling potential function. However derivations of this function are complex involving avoiding divergences using intricate techniques from early quantum field theory (QFT) or else more modern approaches using charge and mass renormalization. In the present paper we derive the Uehling potential function in a fairly conceptually straightforward way not involving renormalization in which the vacuum polarization tensor is viewed as a Lorentz invariant 2-tensor valued measure on Minkowski space. Furthermore we compute a complex matrix valued potential function for the electron self-energy contribution to the Lamb shift. The resulting potential function is derived in a conceptually simple way not involving renormalization and can be used for higher order computations in QFT involving multiple loops.
