Axiomatic Quantum Field Theory and Scattering of Elementary Particles

摘要

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.