Current algebras and their applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Pergamon Pr.
1968
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | International series of monographs in natural philosophy
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 177 S. |
Internformat
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| 245 | 1 | 0 | |a Current algebras and their applications |
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| 264 | 1 | |a Oxford [u.a.] |b Pergamon Pr. |c 1968 | |
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Datensatz im Suchindex
| _version_ | 1804135980726222848 |
|---|---|
| adam_text | Contents
Foreword ix
Preface xiii
1. Preliminary Concepts 1
1.1. The Interactions of Subnuclear Particles 1
1.2. The Isospin Symmetry of Strong Interactions 6
1.3. The SUg Symmetry Model 10
1.4. Quarks and the SU6 Model 15
2. The Basic Ideas of Current Algebras 19
2.1. Current Commutators 19
2.2. The SU3XSU3 Algebra 22
2.3. A Quark Model for the SU3XSU3 Algebra 25
2.4. Lepton Scattering Sum Rules 27
2.5. Some Remarks on the Mathematical Description
of Currents and Charges 32
3. Approximate SU3 Symmetry in Current Algebra
Theory 34
3.1. The Description of an Approximate Symmetry 34
3.2. The Momentum Dependence of Direct Sum Rules 38
3.3. Corrections to SU3 Results 41
4. The Dispersion Theory of Current Algebras, I 44
4.1. A Co variant Derivation of Sum Rules 44
4.2. The Relationship between Direct Sum Rules and
Dispersion Sum Rules 49
4.3. Sum Rules for Vertex Functions 57
5. Current Algebra Sum Rules with PCAC 59
5.1. The Principle of PCAC or Pion Pole dominance 59
5.2. The Adler Weisberger Relation 62
5.3. Generalized Adler Weisberger Relations 66
5.4. A Photoproduction Sum Rule for the Nucleon
Magnetic Moments 71
5.5. On the Existence of Axial Vector Mesons 76
vii
Contents
6. Low Energy Theorems 79
6.1. General Considerations 79
6.2. The A meson Leptonic Decays 83
6.3. Scattering Lengths of Mesons 86
6.4. Vector Meson Decays 91
6.5. Non leptonic Weak Decays 95
7. Extensions of the SU3 X SU3 Current Algebra 104
7.1. The Chiral SU6 X SU6 Algebra 104
7.2. The Connections of the Static SU6 Algebra with
SU3 X SU3 107
7.3. The Baryon Magnetic Moments and Mixing
Schemes 110
7.4. The U12 Current Algebra 114
7.5. Other Extensions 117
8. Schwinger Terms 118
8.1. The Existence of Schwinger Terms 118
8.2. Alternative Approaches to Schwinger Terms 122
9. The Dispersion Theory of Current Algebras, II 125
9.1. The Dispersion Theory of Local Current Com¬
mutators 125
9.2. General Sum Rules for Spinless Particles 129
9.3. TheSumRuleofCabibboandRadicati 133
9.4. Sum Rules for Finite Momentum Transfer, Super
convergence Relations 137
9.5. On the Asymptotic Behaviour of Current Com¬
mutator Matrix Elements 140
9.6. Other Classes of Dispersion Sum Rules 145
10. Possible Connections of Current Algebras and
Dynamics 151
Appendix. Some Details on LSZ Reduction Formulae 153
Conventions 157
Bibliography on Current Algebras 159
Selected General References 173
Index 175
viii
|
| adam_txt |
Contents
Foreword ix
Preface xiii
1. Preliminary Concepts 1
1.1. The Interactions of Subnuclear Particles 1
1.2. The Isospin Symmetry of Strong Interactions 6
1.3. The SUg Symmetry Model 10
1.4. Quarks and the SU6 Model 15
2. The Basic Ideas of Current Algebras 19
2.1. Current Commutators 19
2.2. The SU3XSU3 Algebra 22
2.3. A Quark Model for the SU3XSU3 Algebra 25
2.4. Lepton Scattering Sum Rules 27
2.5. Some Remarks on the Mathematical Description
of Currents and Charges 32
3. Approximate SU3 Symmetry in Current Algebra
Theory 34
3.1. The Description of an Approximate Symmetry 34
3.2. The Momentum Dependence of Direct Sum Rules 38
3.3. Corrections to SU3 Results 41
4. The Dispersion Theory of Current Algebras, I 44
4.1. A Co variant Derivation of Sum Rules 44
4.2. The Relationship between Direct Sum Rules and
Dispersion Sum Rules 49
4.3. Sum Rules for Vertex Functions 57
5. Current Algebra Sum Rules with PCAC 59
5.1. The Principle of PCAC or Pion Pole dominance 59
5.2. The Adler Weisberger Relation 62
5.3. Generalized Adler Weisberger Relations 66
5.4. A Photoproduction Sum Rule for the Nucleon
Magnetic Moments 71
5.5. On the Existence of Axial Vector Mesons 76
vii
Contents
6. Low Energy Theorems 79
6.1. General Considerations 79
6.2. The A meson Leptonic Decays 83
6.3. Scattering Lengths of Mesons 86
6.4. Vector Meson Decays 91
6.5. Non leptonic Weak Decays 95
7. Extensions of the SU3 X SU3 Current Algebra 104
7.1. The Chiral SU6 X SU6 Algebra 104
7.2. The Connections of the Static SU6 Algebra with
SU3 X SU3 107
7.3. The Baryon Magnetic Moments and Mixing
Schemes 110
7.4. The U12 Current Algebra 114
7.5. Other Extensions 117
8. Schwinger Terms 118
8.1. The Existence of Schwinger Terms 118
8.2. Alternative Approaches to Schwinger Terms 122
9. The Dispersion Theory of Current Algebras, II 125
9.1. The Dispersion Theory of Local Current Com¬
mutators 125
9.2. General Sum Rules for Spinless Particles 129
9.3. TheSumRuleofCabibboandRadicati 133
9.4. Sum Rules for Finite Momentum Transfer, Super
convergence Relations 137
9.5. On the Asymptotic Behaviour of Current Com¬
mutator Matrix Elements 140
9.6. Other Classes of Dispersion Sum Rules 145
10. Possible Connections of Current Algebras and
Dynamics 151
Appendix. Some Details on LSZ Reduction Formulae 153
Conventions 157
Bibliography on Current Algebras 159
Selected General References 173
Index 175
viii |
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| spelling | Renner, Bruno Verfasser aut Current algebras and their applications 1. ed. Oxford [u.a.] Pergamon Pr. 1968 XIV, 177 S. txt rdacontent n rdamedia nc rdacarrier International series of monographs in natural philosophy 12 Elementaire deeltjes gtt Particules (physique nucléaire) ram Symmetrie gtt Symétrie ram Mathematische Physik Mathematical physics Nuclear physics Particles (Nuclear physics) Symmetry (Physics) Elementarteilchen (DE-588)4014413-6 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Stromalgebra (DE-588)4264242-5 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s DE-604 Theoretische Physik (DE-588)4117202-4 s Stromalgebra (DE-588)4264242-5 s Elementarteilchen (DE-588)4014413-6 s 1\p DE-604 International series of monographs in natural philosophy 12 (DE-604)BV005920811 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015219302&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Renner, Bruno Current algebras and their applications International series of monographs in natural philosophy Elementaire deeltjes gtt Particules (physique nucléaire) ram Symmetrie gtt Symétrie ram Mathematische Physik Mathematical physics Nuclear physics Particles (Nuclear physics) Symmetry (Physics) Elementarteilchen (DE-588)4014413-6 gnd Theoretische Physik (DE-588)4117202-4 gnd Stromalgebra (DE-588)4264242-5 gnd Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4014413-6 (DE-588)4117202-4 (DE-588)4264242-5 (DE-588)4001156-2 |
| title | Current algebras and their applications |
| title_auth | Current algebras and their applications |
| title_exact_search | Current algebras and their applications |
| title_exact_search_txtP | Current algebras and their applications |
| title_full | Current algebras and their applications |
| title_fullStr | Current algebras and their applications |
| title_full_unstemmed | Current algebras and their applications |
| title_short | Current algebras and their applications |
| title_sort | current algebras and their applications |
| topic | Elementaire deeltjes gtt Particules (physique nucléaire) ram Symmetrie gtt Symétrie ram Mathematische Physik Mathematical physics Nuclear physics Particles (Nuclear physics) Symmetry (Physics) Elementarteilchen (DE-588)4014413-6 gnd Theoretische Physik (DE-588)4117202-4 gnd Stromalgebra (DE-588)4264242-5 gnd Algebra (DE-588)4001156-2 gnd |
| topic_facet | Elementaire deeltjes Particules (physique nucléaire) Symmetrie Symétrie Mathematische Physik Mathematical physics Nuclear physics Particles (Nuclear physics) Symmetry (Physics) Elementarteilchen Theoretische Physik Stromalgebra Algebra |
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