Izvorni znanstveni članak
Irreducibility, analyticity and unitarity or asymptotic completeness in massive quantum field theory: some general conjectures and results
Daniel Iagolnitzer
; Service de Physique Theorique, CEN-Saclay, 91191 Gif-sur-Yvette, Cedex, France
Sažetak
General conjectures and related results on the momentum-space analytic structure of multiparticle Green functions and collision amplitudes in massive quantum field theory are presented. The first conjecture is a set of formal expansions of Green functions, in each energy region, in terms of (regularized) Feynman-type integrals whose vertices are irreducible kernels. These expansions provide minimal decompositions of the (generally non holonomic) S-matrix and Green functions into elementary (regular, holonomic) contributions with specified analyticity and monodromy properties. Mathematical conjectures on discontinuities of these integrals are then presented and corresponding results are derived, in the sense of formal expansions, for the S-matrix and Green functions: unitarity relations, asymptotic completeness and S-matrix discontinuity formulae such as those needed in multiparticle dispersion relations. The analysis may be relevant, in axiomatic field theory and S-matrix theory (analyticity properties of multiparticle collision amplitudes), in constructive field theory (derivation of asymptotic completeness) and, from the mathematical viewpoint, in microlocal analysis.
Ključne riječi
Hrčak ID:
329866
URI
Datum izdavanja:
6.8.1985.
Posjeta: 217 *