AXIOMATIC QUANTUM FIELD THEORY AND SCATTERING OF ELEMENTARY PARTICLES.

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Abstract:

The document is the final report on a research project at the State University of New York at Stony Brook on axiomatic quantum field theory and scattering of elementary particles. The work explored the consequences of the analyticity in quantum field theory that results from strict causality, Lorentz invariance, positivity of energy, unitarity, and other fundamental axioms of quantum field theory. The results include a general proof from the axioms that any quantum field theory with non-trivial scattering must include at some energies non-trivial production as well. A general proof was given of the superconvergence relations and related analytic properties, including the case of particles with spin. Other restrictions on high energy scattering were derived. The results are detailed in 18 published papers and reports.

Author(s):
Toll, John S.
Author Organization(s):
STATE UNIV OF NEW YORK STONY BROOK DEPT OF PHYSICS
Descriptive Note:
Final rept.,
Pagination:
0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-70-1229TR
Contract/Grant Number(s):
AF-AFOSR-1096-66
Task Number(s):
975101
Project Number(s):
AF-9751
Monitor Series:
70-1229TR
 Subject Terms
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*FIELD THEORY, *NUCLEAR SCATTERING, ELEMENTARY PARTICLES, ALGEBRA, ANALYTIC FUNCTIONS
Field(s)/Group(s):
Nuclear Physics and Elementary Particle Physics, Quantum Theory and Relativity
Keyword(s):
PRODUCTION AMPLITUDES, SUPERCONVERGENCE RELATIONS
Report Date:
1970 Mar 31