标题： 路径积分对偶性假设：在量子电动力学中的应用 显示英文标题

标题： Hypothesis of path integral duality: Applications to QED

摘要： 我们使用基于Padmanabhan先前在一篇论文中提出的“路径积分对偶性原理”的修改传播子，来研究QED中的几个结果。 此过程通过引入一个基本长度尺度来修改费曼传播子。 我们使用此修改的传播子来计算狄拉克粒子的一阶辐射修正。 我们发现，修改传播子的额外因子在普朗克尺度上起到调节器的作用，从而消除了传统QED辐射修正计算中出现的发散问题。 我们发现：(i) 所有三个重整化因子$Z_1$、$Z_2$和$Z_3$都获得了有限修正，以及 (ii) 修改的传播子在非常小的水平上破坏了规范不变性，即${\mathcal{O}}(10^{-45})$。 讨论了这一结果对原初种子磁场生成的影响。 显示英文摘要

摘要： We use the modified propagator for quantum field based on a ``principle of path integral duality" proposed earlier in a paper by Padmanabhan to investigate several results in QED. This procedure modifies the Feynman propagator by the introduction of a fundamental length scale. We use this modified propagator for the Dirac particles to evaluate the first order radiative corrections in QED. We find that the extra factor of the modified propagator acts like a regulator at the Planck scales thereby removing the divergences that otherwise appear in the conventional radiative correction calculations of QED. We find that:(i) all the three renormalisation factors $Z_1$, $Z_2$, and $Z_3$ pick up finite corrections and (ii) the modified propagator breaks the gauge invariance at a very small level of ${\mathcal{O}}(10^{-45})$. The implications of this result to generation of the primordial seed magnetic fields are discussed.