Analyse structurale des amplitudes de collision: = Structural analysis of collison amplitudes
Gespeichert in:
| Weitere beteiligte Personen: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
North-Holland Publ.
1976
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001479074&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIX, 637 S. |
| ISBN: | 0720405068 |
Internformat
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| 245 | 1 | 0 | |a Analyse structurale des amplitudes de collision |b = Structural analysis of collison amplitudes |c École d'Été de Physique Théorique <LesHouches>; Roger Balian, ed. |
| 246 | 1 | 1 | |a Structural analysis of collison amplitudes |
| 264 | 1 | |a Amsterdam |b North-Holland Publ. |c 1976 | |
| 300 | |a XIX, 637 S. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 75.2004 A 195 |
|---|---|
| DE-BY-TUM_katkey | 1461839 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040020715902 |
| _version_ | 1821933763807936513 |
| adam_text | CONTENTS
Contributors „
Participants v£j
Preface (in French and English) ix
Part I, Axiomatic Quantum Field Theory 1
Introduction 3
Course 1. General Properties of the n Point Functions in toaal
Quantum Field Theory, by B, Epstein, V. Glaser and S. Stova 5
1. Introduction 7
2. General framework 8
3. Definition of chronological products 9
4. Generalized retarded operators 1?
5. Vacuum expectation values 52
6. Linear systems of n point functions (n^ 2) 72
Appendix : Cells and precells 92
References 93
Course 2. An Approach to the Non Linear Program of General Quantum Field
Theory : Many Particle Structure Analysis in Complex Momentum
Space, by J. Bros and U. Lassalle 95
1. Introduction 97
2. The non linear structure of general quantum field theory 101
3. Convolution of n point functions associated with a graph 105
4. One particle irreducible n point functions 113
5. Two particle irreducibility in one channel 117
6. Irreducibility with respect to several channels and structural
equations 121
7, Analyticity properties implied by the structural equations
and outlook 128
References _ 134
Course 3. Generalised Optical Theorems, by K. Cahill 137
Part II, S Matrix Theory
Introduction 159
Course 1. Physical—Region Properties of Multipavticle Collision
Amplitudes, by D, Iagolnitzer 161
1. The S matrix — General properties 163
2. Space time properties and physical region analyticity 171
3. The structure theorem 185
References 189
Course 2. Discontinuity Formulas for MultipavtieZe Amplitudes,
by H,P, Stapp W1
Introduction 195
I. Properties o£ Landau surfaces 195
II. Bubble diagram functions 203
III. The structure theorem . 209
IV. The discontinuity of f around L (D ) 213
V. Derivation of the formula for the discontinuity of f around L (D ) 215
VI. Formal method .226
VII. Basic discontinuities for 6 particle processes 239
VIII. Analytic properties of the good M s 252
IX. Analyticity in the complex mass shell 255
References to proofs of theorems 273
References 273
Course 3. Many—Partiale Dispersion Relations, by E,P. Stapp 275
1. Toller variables , 277
2. Bergman Weil representation 279
3. Accessible boundaries 282
4. Hexagraphs 284
5. Flow graphs 285
6. Theorems on hexagraphs 291
7. Conclusions 294
References 294
Part III. Mathematical Courses s 295
Analytic Structure of Distributions and Essential Support Theory,
by D, Iagolnitzer 295
1. Introduction 297
2. Generalized Fourier transformation and local analyticity . 303
3. Essential support 312
4. Decomposition and edge^of^the wedge theorems 318
5. Products, integrals, restrictions 326
Appendix I 337
Appendix II 35Q
References 358
Part IV. Rigorous Results on Two^Body Scattering Amplitudes 359
Course 1. Sounds on Scattering Amplitudes and Fo rrn Factors, by
G. Mahoux . 361
1. Introduction 363
2. Martin s method, and introduction of algebraic manifolds 364
3. Semi phenomenological bounds on ttit scattering * 370
4. Bounds for the £„ scalar form factor 373
5. Hardy spaces 375
6. Solution of the problem of the K^^ form factor 379
References 384
Course 2. Determination of the Scattering Amplitude from the
Differential Cvoss rSection : 387
Contraction Mapping, by G. Mahoux 389
1. Analyticity in the cos variable, and unitarity equations 391
2. The contraction mapping principle, construction of a suitable
Banach space, and definition of a new mapping 393
3. Contraction conditions on the cross^section 385
4. Many coupled two body channels 398
5. Scattering of particles with spin 400
References 400
theorems on Compactness, by D. Atkinson 403
Course S.A Crossing Symmetric, Unitary^Regge Representation, by
D. Atkinson 415
Part V. Regge Theory and Reggeon Calculus . 427
Introduction 429
Course 1. The Analytic Foundations of Regge Theory, by A.R. Write 431
1. Introduction , 433
2. Background material 436
3. Partial wave expansions, Froissart Gribov continuations, and
Sommerfeld Watson representations 444
4. Cross channel unitarity I t Location of Regge and helicity poles
and factorization of residues 458
5. Multi Regge asymptotic behaviour Structure of vertex functions
and physical region factorization 467
6. Cross channel unitarity II Regge cuts and their discontinuities 476
References 488
Figures . 489
Course 8. The Reggeon Calculus and Diffraction Scattering, by A.R.. White 505
1. Introduction 507
2. Pomeron Green s functions and the Wilson renormalization group
formalism 511
3. Construction of the triple Pomeron theory and calculation of the
diffraction peak in the E expansion 517
4. The lattice analogue high temperature expansions and renormalization
group transformation 531
5. The loop expansion and the Callant Symanzik equation 538
6. Uniqueness of the solution What happens when A A 540
7. S channel unitarity : the bare perturbation expansion, the
asymptotic scale, and production processes 543
Note : Very recent developments . 547
References 551
Figures 553
Course 3. The Perturbative Reggeon Calculus : Building Reggeon Cuts
from Reggeon Tree Graphs ,, by C.B, De Tar 565
1. Introduction 567
2. Derivation of the reggeon calculus from perturbation theory 569
3. The s channel structure of the reggeon. calculus 580
Appendix , 589
References 592
Part VI. Dual Theory 593
Dual Resonanee Models, by S. Mandelstam 595
1. Introduction ¦ 595
i
2. The four point Veneziano amplitude 598
3. The operator formalism ; strings interacting with external fields 602
4. Interacting strings 618
5. Other subjects 633
* References . 636
|
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| genre | (DE-588)1071861417 Konferenzschrift 1975 Les Houches gnd-content |
| genre_facet | Konferenzschrift 1975 Les Houches |
| id | DE-604.BV002250908 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:48:19Z |
| institution | BVB |
| institution_GND | (DE-588)3653-5 |
| isbn | 0720405068 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001479074 |
| oclc_num | 246805352 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | XIX, 637 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | North-Holland Publ. |
| record_format | marc |
| spellingShingle | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes Streuung (DE-588)4058056-8 gnd Elementarteilchen (DE-588)4014413-6 gnd |
| subject_GND | (DE-588)4058056-8 (DE-588)4014413-6 (DE-588)1071861417 |
| title | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes |
| title_alt | Structural analysis of collison amplitudes |
| title_auth | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes |
| title_exact_search | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes |
| title_full | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes École d'Été de Physique Théorique <LesHouches>; Roger Balian, ed. |
| title_fullStr | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes École d'Été de Physique Théorique <LesHouches>; Roger Balian, ed. |
| title_full_unstemmed | Analyse structurale des amplitudes de collision = Structural analysis of collison amplitudes École d'Été de Physique Théorique <LesHouches>; Roger Balian, ed. |
| title_short | Analyse structurale des amplitudes de collision |
| title_sort | analyse structurale des amplitudes de collision structural analysis of collison amplitudes |
| title_sub | = Structural analysis of collison amplitudes |
| topic | Streuung (DE-588)4058056-8 gnd Elementarteilchen (DE-588)4014413-6 gnd |
| topic_facet | Streuung Elementarteilchen Konferenzschrift 1975 Les Houches |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001479074&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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