Sufficient condition for the UV finiteness of Feynman graphsJian-Yuan Cheng
School of Physics, Peking University - Beijing 100871, PRC
received 7 January 2006; accepted in final form 2 March 2006
published online 24 March 2006
We introduce an integral expression of Euclidean-space propagators. The Euclidean-space propagators can be expressed as Fourier-Laplace transform of the free-field operator commutator. Based on the integral expression of Euclidean-space propagators, we find a sufficient condition for the ultraviolet (UV) finiteness of Feynman graphs calculated with various modified propagators.
11.25.Db - Properties of perturbation theory.
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