Quick Search:
Prog. Theor. Phys. Vol. 25 No. 3 (1961) pp. 461-466
Transition Amplitudes in Perturbation Theory and Dyson's Integral Representation
Gaku Konisi and
Kunio Yamamoto
Department of Physics, Osaka University, Osaka
(Received November 25, 1960)
Abstract:
It is shown that Dyson's integral representation for the matrix element of a causal commutator between the vacuum and an arbitrary state is closely related to the transition amplitude in the lowest order of perturbation. This relation is used for clarifying physical meanings of the parameters of integration. The integral representation for the absorptive parts of vertex funcions previously introduced by one of the present authors (K. Y.) comes out as a simple example. It can be applied also for the absorptive parts of scattering amplitudes, in which case, however, such a simple connection with perturbation theory is not obtained as is the case with vertex functions.
URL :
http://ptp.ipap.jp/link?PTP/25/461/
DOI : 10.1143/PTP.25.461
References:
- K. Yamamoto, Prog. Theor. Phys. 25 (1961), 361[PTP].
-
F. J. Dyson, Phys. Rev. 110 (1958), 1460[APS].
-
R. Oehme, Phys. Rev. 117 (1950), 1151[APS].
-
H. J. Bremermann, R. Oehme and J. G. Taylor, Phys. Rev. 109 (1958), 2178[APS].
- H. Lehmann, Nuovo Cim. 10 (1958), 579.
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 361-368
:
-
Integral Representation of Absorptive Part of Vertex Function
-
Kunio Yamamoto
-
Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 720-721
:
-
Double Dispersion Representation of Vertex Function
-
Kunio Yamamoto
-
Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 133-138
:
-
Some Analytic Properties of Absorptive Part of Scattering Amplitude
-
Kunio Yamamoto
-
Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 252-263
:
-
Connection between the Absorptive Part of the Scattering Amplitude and That of the Feynman Integral Associated with the Tetrahedron Graph
-
Masatsugu Minami and Hideo Miyata
