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The Green's Causal Functions of Bilocal Fields
Authors:Sannikov-Proskuryakov  S S
Abstract:On concrete examples it is demonstrated that in quantum field theory with three universal constants c, h, and k suggested in 1], the limiting value k –1 = 0 corresponding to local theory is a bifurcation point: the Green's causal function for finite k bifurcates into 
$$\tilde D_L^c {\text{ }}and{\text{ }}\tilde D_E^c $$
. The natural carrier of the latter is the Euclidean space-time R 4, and its continuation from R 4 to R 3,1 is regular. The former is singular at zero point and on the light cone and hence is rejected.
Keywords:
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