用光谱正则化方法计算H原子Lamb位移的首级贡献
Computation of the leading order contributions to the Lamb shift for the H atom using spectral regularization
摘要：
利用Uehling势函数可以精确地计算出Uehling对Lamb位移的贡献。然而，这个函数的推导是复杂的，涉及到使用早期量子场论（QFT）的复杂技术或使用电荷和质量重整化的更现代的方法来避免发散。在本文中，我们推导出Uehling势函数在一个相当概念上简单的方式，不涉及重整化，其中真空极化张量被视为一个洛伦兹不变的2-张量值的测量Minkowski空间。此外，我们计算了一个复杂的矩阵值的潜在功能的电子自能贡献的兰姆位移。由此产生的势函数是在概念上简单的方式，不涉及重整化，并可用于高阶计算QFT涉及多个循环。
英文摘要：
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.
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