Abstract
It is shown that the dynamical consistency requirements of quantum field theory and the Lorentz-invariant character of particle kinematics and wave equations are compatible with the postulate that physical space is a complex manifold with Euclidean-Gaussian measure in the small. Such a postulate for the microstructure of space introduces a fundamental lengthλ(≲10−16 cm) and leads toΔ-functions that are analytic on the light-cone for a free field, and hence to self-energies and renormaiization constants that are finite for interacting fields.
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Rosen, G. Space-time microstructure and singularity-free quantum field theory. Int J Theor Phys 7, 145–148 (1973). https://doi.org/10.1007/BF00713797
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DOI: https://doi.org/10.1007/BF00713797