The weakness of fine structure constants

A quantum field theory with very many (boson) fields interacting with Nsub(gen) 'generation' of Weyl fermions is considered. Among the boson fields there is also the Standard Model group S(U2xU3) gauge field. In the spirit of random dynamics philsophy the theory is considered as largely random. The question is how the most likely theory of this kind is, and especially how the fluctuations in the boson fields must be suppressed to avoid 'fundamental scale confinement'. Here it is meant that Wilson loops of the order of the fundamental scale should not already follow the exponent of area of law. If this happens there will namely be no long-range correlations, and that would give no physics observable at long distances. Thus, one must avoid that the total amount of fluctuation for any subspace of Weyl fields gets so large as to cause confinement already on a very short distance scale. (author)