Geometry of the standard model of elementary particles:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest
Springer
1992
|
| Schriftenreihe: | Texts and monographs in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI,199 S. graph. Darst. |
| ISBN: | 3540543562 0387543562 |
Internformat
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| 245 | 1 | 0 | |a Geometry of the standard model of elementary particles |c Andrzej Derdzinski |
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| 300 | |a XI,199 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1817318919733510144 |
|---|---|
| adam_text |
CONTENTS
PART I: PARTICLE MODELS
1. PARTICLES AND VECTOR BUNDLES 3
1.1 SPACETIMES 3
1.2 ELEMENTARY PARTICLES 4
1.3 SPINORS 5
1.4 INTERACTIONS 5
1.5 MATTER FIELDS VERSUS INTERACTION CARRIERS 6
1.6 ANTIPARTICLES 7
1.7 C-PARITY* 8
1.8 GENERALIZATIONS OF PARTICLES 9
1.9 GENERALIZED SPIN SYMMETRY* 9
1.10 COMPOSITE PARTICLES 10
1.11 BOSONS AND FERMIONS 11
1.12 CLASSIFICATION OF PARTICLES 11
1.13 ORBITAL ANGULAR MOMENTUM 12
1.14 SPIN AND PARITY 13
1.15 THE LIGHTEST HADRONS 14
1.16 MODELS OF FREE MATTER PARTICLES WITH SPINS 0 AND 1/2 17
1.17 HIGHER SPINS 19
1.18 NATURAL BUNDLES 20
1.19 THE PHYSICAL MEANING OF VECTOR BUNDLE OPERATIONS* 22
2. INVARIANTS O
F
PARTICLES* 24
2.1 REPRESENTATIONS OF SU(2) AND SO(3) 24
2.2 REPRESENTATIONS OF 0(3) 26
2.3 GEOMETRIC REALIZATIONS 27
2.4 NONRELATIVISTIC PARTICLE MODELS 28
2.5 CANONICAL QUANTIZATION 31
2.6 NONRELATIVISTIC SPIN 32
2.7 SPIN AND ANGULAR MOMENTUM 33
2.8 PARITY VERSUS ORBITAL PARITY 35
2.9 ISOSPIN IN NATURE 36
2.10 GEOMETRY OF ISOSPIN 37
2.11 ISOSPIN VERSUS NONRELATIVISTIC SPIN 39
2.12 G-PARITY 39
HTTP://D-NB.INFO/920068162
X CONTENTS
2.13 STRANGENESS AND OTHER GENERALIZED CHARGES 41
2.14 A SUMMARY OF PARTICLE INVARIANTS 43
3. MORE ON RELATIVISTIC PARTICLE MODELS* 46
3.1 REDUCIBLE REPRESENTATIONS OF 0(3) 46
3.2 TENSOR PRODUCTS OF REPRESENTATIONS 47
3.3 THE LORENTZ GROUP 49
3.4 INFINITESIMAL REPRESENTATIONS OF 0(3,1) 50
3.5 THE ROLE OF SL(2, C) 53
3.6 CONJUGATE REPRESENTATIONS 54
3.7 REPRESENTATIONS OF 0^(3,1) 55
3.8 SOME GEOMETRIC EXAMPLES 57
3.9 THE CHOICE OF PARTICLE MODELS 58
PART II: UNIFICATIONS
4. THE ELECTROMAGNETIC INTERACTION 63
4.1 NONRELATIVISTIC ELECTRODYNAMICS 63
4.2 RELATIVISTIC MAXWELL EQUATIONS 64
4.3 FOUR-MOMENTUM AND RELATIVISTIC ENERTY 66
4.4 RELATIVISTIC LORENTZ FORCE LAW 67
4.5 PHOTONS 68
4.6 POTENTIALS 69
4.7 LAGRANGIANS FOR A CHARGED PARTICLE 69
4.8 RELATIVISTIC QUANTIZATION 71
4.9 THE MINIMUM-COUPLING SUBSTITUTION 72
4.10 POTENTIALS AS CONNECTION FORMS 73
4.11 CONSEQUENCES OF INTRODUCING THE ELECTROMAGNETISM BUNDLE 75
4.12 INTERACTION EXPRESSED BY TENSOR MULTIPLICATION 76
4.13 QUANTIZATION OF THE ELECTRIC CHARGE 77
4.14 THE ELECTRIC CHARGE AND ANTIPARTICLES 79
5. T
H
E YANG-MILLS DESCRIPTION O
F
INTERACTIONS 80
5.1 VECTOR BUNDLE OPERATIONS 80
5.2 G-STRUCTURES 81
5.3 CONNECTIONS 83
5.4 YANG-MILLS FIELDS 83
5.5 LACK OF NATURALITY 86
5.6 RESTORING NATURALITY VIA BOUND STATES 86
5.7 BOUND STATES OF INTERACTION CARRIERS* 88
5.8 RESTORING NATURALITY VIA SYMMETRY BREAKING 89
5.9 GAUGE SYMMETRY* 92
5.10 HARMONIC LINE BUNDLES* 94
5.11 THE LORENTZ GAUGE CONDITION* 95
CONTENTS XI
6. T
H
E STANDARD MODEL 97
6.1 GEOMETRY OF ELECTROMAGNETISM 97
6.2 GEOMETRY OF THE QUARK MODEL 98
6.3 MORE ON SPINORS 102
6.4 HERMITIAN PLANES 104
6.5 GEOMETRY OF THE ELECTROWEAK MODEL 106
6.6 REMARKS I
L
L
6.7 THE STANDARD MODEL OF PARTICLES AND INTERACTIONS 113
6.8 INVARIANT INNER PRODUCTS AND COUPLING CONSTANTS* 114
6.9 MASSIVENESS VERSUS MASSLESSNESS* 117
7. GRAND UNIFIED THEORIES 122
7.1 THE SU(5) GRAND UNIFICATION 122
7.2 THE SPIN(10) THEORY* 127
7.3 FURTHER REMARKS 127
8. UNITARY SYMMETRIES O
F
HADRONS* 130
8.1 QUARKS AND QUANTUM NUMBERS 130
8.2 REPRESENTATIONS OF SU(N) 132
8.3 FLAVOR SYMMETRIES 138
8.4 MORE ON SU(N) SYMMETRY 143
8.5 QUARKS AND ISOSPIN 148
8.6 UNITARY SYMMETRY 149
8.7 QUARK COMPOSITION OF HADRONS 150
9. HADRONS AND THE WEAK INTERACTION* 155
9.1 NATURAL SUBSPACES OF DIRECT SUMS 155
9.2 QUARK MIXING AND THE CABIBBO ANGLE 158
9.3 THE KOBAYASHI-MASKAWA PARAMETERS 159
9.4 EXTENSION OF THE ELECTROWEAK MODEL TO QUARKS 161
10. LAGRANGIAN IN CLASSICAL FIELD THEORY* 164
10.1 LANGRANGIAN DENSITIES 164
10.2 ENERGY DENSITY 169
10.3 INTERACTION LAGRANGIANS 171
11. SYMMETRY BREAKING AND POSITIVE MASSES* 176
11.1 VACUUM STATES 176
11.2 LAGRANGIANS AND POTENTIALS 177
11.3 VACUA AND MASSES 181
11.4 THE HIGGS MECHANISM 183
11.5 DYNAMICS OF THE ELECTROWEAK MODEL 186
REFERENCES 193
SUBJECT INDEX 195 |
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| author_facet | Derdzinski, Andrzej |
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| bvnumber | BV025859712 |
| classification_rvk | UO 1000 UO 5000 |
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| discipline | Physik |
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| illustrated | Illustrated |
| indexdate | 2024-12-02T09:06:17Z |
| institution | BVB |
| isbn | 3540543562 0387543562 |
| language | English |
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| physical | XI,199 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
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| series2 | Texts and monographs in physics |
| spelling | Derdzinski, Andrzej Verfasser aut Geometry of the standard model of elementary particles Andrzej Derdzinski Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest Springer 1992 XI,199 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Elementarteilchen (DE-588)4014413-6 gnd rswk-swf Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Standardmodell Elementarteilchenphysik (DE-588)4297710-1 s DE-604 Elementarteilchen (DE-588)4014413-6 s Geometrie (DE-588)4020236-7 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019107452&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Derdzinski, Andrzej Geometry of the standard model of elementary particles Elementarteilchen (DE-588)4014413-6 gnd Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4014413-6 (DE-588)4297710-1 (DE-588)4020236-7 |
| title | Geometry of the standard model of elementary particles |
| title_auth | Geometry of the standard model of elementary particles |
| title_exact_search | Geometry of the standard model of elementary particles |
| title_full | Geometry of the standard model of elementary particles Andrzej Derdzinski |
| title_fullStr | Geometry of the standard model of elementary particles Andrzej Derdzinski |
| title_full_unstemmed | Geometry of the standard model of elementary particles Andrzej Derdzinski |
| title_short | Geometry of the standard model of elementary particles |
| title_sort | geometry of the standard model of elementary particles |
| topic | Elementarteilchen (DE-588)4014413-6 gnd Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Elementarteilchen Standardmodell Elementarteilchenphysik Geometrie |
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