ON ASYMPTOTIC AND CAUSALITY CONDITION IN QUANTUM FIELD THEORY
It is shown that the mathematical treatment of Lehmann, Symanzik, and Zimmermann leads necessarily to a causal field theory in which the commutators of the field operators vanish for space-like distances. In order to study this fact from a more general point of view, extensive variational derivatives of the S- matrix with respect to the free-field operators as proposed by Bogolubov and co- workers are used. The manner in whcih Lehmann, Symanzik, and Zimmermann define and apply the asymptotic condition is investigated in more detail. Some general statements about the concept of causality in quantum field theory are made. It is indicated that only the causality condition in the form used by Bogolubov and co-workers (and not the commutator condition) is sufficient for a general approach to quantum field theory needed, for instance, in the theory of dispersion relations. (auth)
- Research Organization:
- Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
- NSA Number:
- NSA-13-011971
- OSTI ID:
- 4273925
- Report Number(s):
- NP-7457
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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