Abstract
Employing the technique of Mellin transforms to scalar convergent Feynman amplitude in the Schwinger integral representation, we determine its asymptotic expansion for large Euclidean momenta.
The determination of the coefficients of the expansion is effected via the use of generalized Taylor operators.
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Weinberg, S.: Phys. Rev.118, 838 (1960)
Fink, J.P.: J. Math. Phys.9, 1389 (1968)
Similar application of Mellin transform has been used by Zavyalov, O.I., JETP47, 1099 (1964), in connection with Regge behaviour
Bergère, M.C., Zuber, J.B.: Commun. math. Phys.35, 113 (1974)
Important properties of integral representation for Feynman amplitude can be found, for example, in Nakanishi, N., Progr. Theoret. Phys. Kyoto Suppl.18, 1 (1961)
See p. 104 of Courant and Hilbert, Methods of Mathematical Physics, Vol. 1, Berlin-Heidelberg-New York: Springer 1968
For example, Hepp, K., Commun. math. Phys.2, 301 (1966)
Appelquist, T.: Ann. Phys. (N.Y.)54, 27 (1969)
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Communicated by K. Symanzik
Supported in part by DFG.
Attaché de Recherche CNRS; on leave of absence from SPT, CEN Saclay.
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Bergère, M.C., Lam, YM.P. Asymptotic expansion of Feynman amplitudes. Commun.Math. Phys. 39, 1–32 (1974). https://doi.org/10.1007/BF01609168
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DOI: https://doi.org/10.1007/BF01609168