A Non-perturbative Estimate of Vacuum Polarization in QED
Abstract
We present a new estimate of the fine structure constant and the β-function of QED at an arbitrary scale. Using the non-perturbative but convergent series expression of the one loop effective action of QED that has been available recently we make a non-perturbative estimate of the running coupling and the β-function, and prove the renormalization group invariance of the effective action. The contrast between our result and the perturbative result is remarkable.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.