Abstract
Dyson’s power counting theorem is extended to the case where some of the mass parameters vanish. Weinberg’s ultraviolet convergence conditions are supplemented by infrared convergence conditions which combined are necessary and sufficient for the absolute convergence of Euclidean Feynman integrals.
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References
F.L. Dyson, Phys. Rev. 75, 1736 (1949)
S. Weinberg, Phys. Rev. 118, 838 (1960)
J. Lowenstein and W. Zimmermann, Comm. Math. Phys. 44, 73 (1975)
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G. Mack in: Scale and Conformai Symmetry in Hadron Physics, ed. R. Gatto, J. Wiley, New York (1973)
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© 1976 D. Reidel Publishing Company, Dordrecht-Holland
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Zimmermann, W. (1976). The Power Counting Theorem for Feynman Integrals with Massless Propagators. In: Velo, G., Wightman, A.S. (eds) Renormalization Theory. NATO Advanced Study Institutes Series, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1490-8_5
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DOI: https://doi.org/10.1007/978-94-010-1490-8_5
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