Europhys. Lett.
Volume 74, Number 3, May 2006
Page(s) 411 - 416
Section The physics of elementary particles and fields
Published online 24 March 2006
Europhys. Lett., 74 (3), pp. 411-416 (2006)
DOI: 10.1209/epl/i2006-10010-4

Sufficient condition for the UV finiteness of Feynman graphs

Jian-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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