A Non-perturbative Estimate of Vacuum Polarization in QED
Y. M. Cho, D. G. Pak
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.
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