A Non-perturbative Estimate of Vacuum Polarization in QED

Details A Non-perturbative Estimate of Vacuum Polarization in QED A Non-perturbative Estimate of Vacuum Polarization in QED

2000-10-11

arxiv.org/abs/hep-th/0010073v3

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 5 figures

Scientific paper

We present a new estimate of the fine structure constant and the $\beta$-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 $\beta$-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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