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.
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Sannikov-Proskuryakov, S.S. The Green's Causal Functions of Bilocal Fields. Russian Physics Journal 46, 379–385 (2003). https://doi.org/10.1023/A:1025775909789
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DOI: https://doi.org/10.1023/A:1025775909789