TRANSITION AMPLITUDES IN PERTURBATION THEORY AND DYSON'S INTEGRAL REPRESENTATION

Journal Article · Tue Feb 28 23:00:00 EST 1961 · Progr. Theoret. Phys. (Kyoto)

DOI:https://doi.org/10.1143/PTP.25.461· OSTI ID:4832864

Konisi, G; Yamamoto, K

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 to clarify physical meanings of the parameters of integration. A particular integral representation for the absorptive parts of vertex functions may be derived from this relation as an example. The relation can be applied also for the absorptive parts of scattering amplitudes, in which case a more complicated connection with perturbation theory is obtained than is the case with vertex functions. (auth)

• Research Organization: Osaka Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-031785
• OSTI ID: 4832864
• Journal Information: Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 25
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ABSORPTION
DIFFERENTIAL EQUATIONS
FREQUENCY
INTEGRALS
MATRICES
PERTURBATION THEORY
PHYSICS
QUANTUM MECHANICS
SCATTERING
VACUUM