ON THE ASYMPTOTIC AND CAUSALITY CONDITIONS IN QUANTUM FIELD THEORY II

Technical Report · Fri Jan 01 04:00:00 EST 1960

OSTI ID:4096435

Kaschluhn, F

The conclusions reached in a recent paper on tue connection between the interacting field operator approach to quantum field theory of Lehmann, Symanzik, and Zimmermann and the functional derivative approach to quantum field theory of Bogolubov are established in more detail. It is shown that Bogolubov's causality condition is a necessary integrability condition for the retarded and advanced solutions of the inhomogeneous Klein-Gordon equation. Associated with this, the fact is investigated in some detail that the transformation operator which connects the interacting field operator with the incoming or outgoing free-field operator can only be unitary up to a positive renormalization constant smaller than one for real interactions. The differences existing between both approaches with respect to the extrapolation of the reduced S-matrix elements off the mass shell are discussed. Concluding, it is shown that it is without any importance for the analytic behavior of the reduced S-matrix elements in the interacting field operator approach considered in the theory of dispersion relations whether the causality condition for the interacting field operator in the commutator form is fulfilled. (auth)

• Research Organization: Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
• NSA Number: NSA-15-010343
• OSTI ID: 4096435
• Report Number(s): JINR-E-485; E-485
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

COPPER
COSMIC RADIATION
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTEGRALS
INTERACTIONS
KLEIN-GORDON EQUATION
LEVELS
LSZ THEORY
MASS
MATRICES
MESONS
MOTION
MUONS
NUCLEAR EMULSIONS
OPERATORS
PARTICLE TRACKS
PHYSICS
QUANTITY RATIO
QUANTUM MECHANICS
RELATIVITY THEORY
SCATTERING