Scattering in quantum field theories : the axiomatic and constructive approaches /
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| Author / Creator: | Iagolnitzer, Daniel |
|---|---|
| Imprint: | Princeton, N.J. : Princeton University Press, c1993. |
| Description: | xxi, 290 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Princeton series in physics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1390459 |
Table of Contents:
- 1. Organization of the book. 2. Description of contents. 3. Technical remarks
- I. The Multiparticle S Matrix. 2. General S-matrix formalism. 3. Multiple scattering and Landau surfaces. 4. The physical region macrocausal S matrix. 5. The analytic S matrix. 6. Analysis of Landau singularities. Appendix: The multiparticle S matrix in two-dimensional space-time
- II. Scattering Theory in Axiomatic Field Theory. 2. General formalism. 3. Causality and local analyticity. 4. The analytic N-point functions. 5. The nonlinear program-direct methods. 6. The nonlinear program based on irreducible kernels. 7. Macrocausal properties: further results and conjectures
- III. Euclidean Constructive Field Theory. 2. The perturbative approach. 3. The P([actual symbol not reproducible])[subscript 2]. 4. The massive Gross-Neveu model in dimension two. 5. Bosonic models: complements
- IV. Particle Analysis in Constructive Field Theory. 2. Irreducible kernels in super-renormalizable models. 3. Irreducible kernels in nonsuper-renormalizable theories. 4. Two-particle structure in weakly coupled field theories. 5. Many-particle structure analysis: general results and conjectures. Mathematical Appendix: Distributions, Analytic Functions, and Microlocal Analysis. 1. Microsupport of distributions. 2. Local analyticity properties, general decomposition theorems, generalized edge-of-the-wedge theorems. 3. Products and integrals of distributions, restrictions to submanifolds. 4. Holonomicity (introduction). 5. Phase-space decompositions.
