No ultra-violet divergences in Quantum Gauge Field theories
and correspondingly no artificial regularizations and infinite
renormalizations from now on!
The usual well known quantum field theories [1-20] suffer from the very
beginning from the so-called ultra-violet divergences when expanding
the S-matrix perturbative series. They arize every time when calculating
different kind of loops, which in essence sound any space and time intervals
and even so-called quantum vacuum which per se is absent in quantum field
theory. There is only the state of quantum vacuum. But to be self-consistent
it has to include also this object too just as it contains not only states of particles
but also their characteristics such as momenta, spins etc. especially at
quantizing when owing to Heisenberg uncertainty principle one probes in
principle any space, time intervals !
Quantum vacuum is assumed to be characterized by some length ℓ which
is accepted to be far less than sizes of particles.
Proceeding from the aforesaid there had been constructed
self-consistent QED and QCD.