Abstract
Proofs have been given that the underlying background of the scale-breaking contributions of the Pauli-Jordan functions and of the Feynman propagators is the existence of an energy dependent dispersion of the canonical scale dimension, respectively. The energy dependence of these dispersions can be established by taking into account the existence of the time dispersion, too. For the interacting fields the above functions are subject to the scale invariance restoration around the underlying proper-time dispersions, in so far as the short space-like space-time region is considered.
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References
E. Papp, inUncertainty Principle and Foundations of Quantum Mechanics, W. C. Price and S. S. Chissick, eds. (John Wiley, London, 1977), p. 35.
E. Papp,Lett. Nuovo Cimento (in print).
E. Papp,Int. J. Theor. Phys. 8, 429 (1973).
A. J. Kálnay and B. P. Toledo,Nuovo Cimento 48, 977 (1967).
A. J. Kálnay, inTachyons, Monopoles and Related Topics, E. Recami, ed. (North-Holland, Amsterdam, 1978), pp. 53–59.
R. Penrose and M. A. H. MacCallum,Phys. Rep. 6C, 243 (1973).
A. Das,J. Math. Phys. 7, 52 (1966).
E. Papp,Found. Phys. 13, 1155 (1983).
J. D. Bjorken and S. D. Drell,Relativistic Quantum Fields (McGraw-Hill, New York, 1965).
N. N. Bogolubov and D. V. Shirkov,Introduction to the Theory of Quantized Fields (Interscience, New York, 1959).
E. Papp,Nuovo Cimento 10B, 471 (1972).
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Papp, E. The scale-breaking contributions of the Pauli-Jordan functions and of the Feynman propagators. Found Phys 13, 999–1011 (1983). https://doi.org/10.1007/BF00729520
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DOI: https://doi.org/10.1007/BF00729520