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LEADER: 04140mam a2200385 a 4500
001 1507039
005 20220602051247.0
008 920417t19931993njua b 001 0 eng
010 $a 92015633
020 $a0691085897 (acid-free paper) :$c$49.50
035 $a(OCoLC)ocm25832955
035 $9AJT0582CU
035 $a(NNC)1507039
035 $a1507039
040 $aDLC$cDLC
050 00 $aQC174.52.S32$bI24 1993
082 00 $a539.7/58$220
100 1 $aIagolnitzer, Daniel.$0http://id.loc.gov/authorities/names/n80060359
245 10 $aScattering in quantum field theories :$bthe axiomatic and constructive approaches /$cDaniel Iagolnitzer.
260 $aPrinceton, N.J. :$bPrinceton University Press,$c[1993], ©1993.
300 $axxi, 290 pages :$billustrations ;$c25 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aPrinceton series in physics
504 $aIncludes bibliographical references (p. 279-286) and index.
505 2 $a1. 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.
505 0 $a3. 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.
520 $aAxiomatic and constructive approaches to quantum field theory first aim to establish it on precise, nonperturbative bases: general axioms and rigorous definition of specific theories respectively. From the viewpoint of particle physics, the goal is then to develop a relativistic scattering theory, including particle analysis and the derivation of general properties of collision amplitudes.
520 8 $aTaking into account successive improvements, this book provides a modern, self-contained, and coherent presentation of important developments from the last twenty years, most of which have not been treated or discussed in detail in earlier books.
520 8 $aThese developments include in particular the axiomatic derivation, in massive theories, of general causal and momentum-space analyticity properties of multiparticle collision amplitudes; the constructive definition, initially in the (unphysical) Euclidean space, of various models including nonsuper-renormalizable theories treated in the 1980s via phase-space expansions; and the subsequent constructive approach to scattering theory, which provides information on the mass spectrum, asymptotic completeness, and multiparticle structure in increasingly higher energy regions.
650 0 $aScattering (Physics)$0http://id.loc.gov/authorities/subjects/sh85118047
650 0 $aQuantum field theory.$0http://id.loc.gov/authorities/subjects/sh85109461
830 0 $aPrinceton series in physics.$0http://id.loc.gov/authorities/names/n42032469
852 00 $boff,phy$hQC174.52.S32$iI24 1993