Analyticity Properties and Many Particle Structure in General Quantum Field Theory. 3. Two Particle Irreducibility in One Channel
Jul, 197662 pages
Published in:
- Commun.Math.Phys. 54 (1977) 33
DOI:
Report number:
- Print-76-0755 (ECOLE POLY)
Citations per year
Abstract: (Springer)
In the framework of L.S.Z. field theory in the case of a single massive scalar field, the “two-particle irreducible” parts of then-point functions (in any single channel and for arbitraryn) are defined as the solutions of a system of integral equations suggested by the perturbative framework. These solutions enjoy the analytic and algebraic properties of generaln-point functions (up to possible polar singularities of generalized C.D.D. type). Morever it is shown that the completeness of asymptotic states in the two-particle spectral region is equivalent to the analyticity of the two-particle irreduciblen-point functions in the corresponding regions of complex momentum space.- FIELD THEORY
- MANY-BODY PROBLEM
- MODEL: N-POINT FUNCTION
- ANALYTIC PROPERTIES
- BETHE-SALPETER EQUATION
- MODEL: TWO-PARTICLE
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