  We study the applications of non-extensive Tsallis statistics to high energy
and hadron physics. These applications include studies of $pp$ collisions,
equation of state of QCD, as well as Bose-Einstein condensation. We also
analyze the connections of Tsallis statistics with thermofractals, and address
some of the conceptual aspects of the fractal approach, which are expressed in
terms of the renormalization group equation and the self-energy corrections to
the parton mass. We associate these well-known concepts with the origins of the
fractal structure in the quantum field theory.
