The Non-Perturbative Quantum Electrodynamics

Abstract: Here, within the Scale-Symmetric Physics, the non-perturbative quantum electrodynamics of electron is presented. We calculated the lower and upper limits for the fine structure constant (1/137.035999053(11194)). The error is equal to the value of the coupling constant for the electron-proton weak interactions. The obtained results are very close to the experimental values which follow from the experimental values of the electron charge and reduced Planck constant (1/137.35999053(12095)). As expected, the error is a little higher than the theoretical value. There appeared papers in which theoretical and experimental values of the fine structure constant have much higher accuracy than the quantities which appear in its definition. In this paper is proven that the higher accuracies are groundless. Using the combined value of the fine structure constant (the experimental central value plus the theoretical limits), 1/137.035999053(11194), we obtain a theoretical value of the electron anomaly 0.001159652191(95). The weak interactions cause that this value cannot have higher accuracy. Within the Scale-Symmetric Physics are calculated physical constants and other quantities which appear in definitions, from the fundamental initial conditions. The initial parameters lead to 1/137.036001 and 0.001159652174. We can see that both results are consistent with the determinations. Emphasize that today the mainstream QED contains the 12,672 diagrams (number of terms is tremendous) whereas presented here non-perturbative QED contains only one diagram with six terms. The difference follows from an improperly understood weak interactions and production of virtual pairs in the Einstein spacetime. To calculate all needed quantities we do not need supercomputers, we used the Microsoft Office Excel with 13 decimal places. 1