An introduction to particle physics and the standard model:
An Introduction to the Standard Model of Particle Physics familiarizes readers with what is considered tested and accepted and in so doing, gives them a grounding in particle physics in general. Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics t...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
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Boca Raton ; London ; New York
CRC Press
[2010]
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| Schlagworte: | |
| Online-Zugang: | Volltext Volltext Inhaltsverzeichnis |
| Zusammenfassung: | An Introduction to the Standard Model of Particle Physics familiarizes readers with what is considered tested and accepted and in so doing, gives them a grounding in particle physics in general. Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics that most of us have learned in less challenging areas. Dr. Mann reviews special relativity and classical mechanics, symmetries, conservation laws, and particle classification; then working from the tested paradigm of the model itself, he describes the standard model in terms of its electromagnetic, strong, and weak components; explores the experimental tools and methods of particle physics; introduces Feynman diagrams, wave equations, and gauge invariance, building up to the theory of quantum electrodynamics; describes the theories of the strong and electroweak interactions; and uncovers frontier areas and explores what might lie beyond our current concepts of the subatomic world. |
| Beschreibung: | 1 Online-Ressource (XXI, 577 Seiten) Illustrationen |
| ISBN: | 9780429141225 |
| DOI: | 10.1201/9781420083002 |
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| 520 | 3 | |a An Introduction to the Standard Model of Particle Physics familiarizes readers with what is considered tested and accepted and in so doing, gives them a grounding in particle physics in general. Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics that most of us have learned in less challenging areas. Dr. Mann reviews special relativity and classical mechanics, symmetries, conservation laws, and particle classification; then working from the tested paradigm of the model itself, he describes the standard model in terms of its electromagnetic, strong, and weak components; explores the experimental tools and methods of particle physics; introduces Feynman diagrams, wave equations, and gauge invariance, building up to the theory of quantum electrodynamics; describes the theories of the strong and electroweak interactions; and uncovers frontier areas and explores what might lie beyond our current concepts of the subatomic world. | |
| 650 | 4 | |a Particles (Nuclear physics) | |
| 650 | 4 | |a Quark models | |
| 650 | 4 | |a String models | |
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Datensatz im Suchindex
| _version_ | 1804140691550371840 |
|---|---|
| adam_text | Titel: An introduction to particle physics and the standard model
Autor: Mann, Robert
Jahr: 2010
Contents
Preface xiii
Acknowledgments xvii
Further Reading xix
1 Introduction and Overview 1
1.1 Methods of Study......................... 2
1.1.1 Large Accelerators.................... 2
1.1.2 Detectors......................... 3
1.1.3 Precision Measurements................. 3
1.1.4 Cosmological Data.................... 4
1.1.5 Empirical Analysis.................... 6
1.1.6 Model Building...................... 6
1.1.7 Numerical Computation................. 7
1.1.8 Mathematical Foundations................ 7
1.1.9 Units............................ 7
1.2 Overview ............................. 9
1.2.1 Bosons and Fermions................... 9
1.2.2 Forces........................... 11
1.2.3 Matter........................... 15
1.3 The Standard Model ....................... 18
1.4 Questions ............................. 20
2 A Review of Special Relativity 23
2.1 Basic Review of Relativity.................... 23
2.1.1 Relativity of Simultaneity................ 24
2.1.2 Length Contraction.................... 25
2.1.3 Time Dilation....................... 27
2.1.4 Velocity Addition..................... 28
2.2 4-Vector Notation......................... 29
2.3 Spacetime Structure ....................... 31
2.4 Momentum and Energy ..................... 33
2.5 Collisions ............................. 36
2.5.1 Broadside Collision.................... 37
2.5.2 Compton Scattering................... 38
2.5.3 3-Body Decay....................... 39
2.6 Questions ............................. 41
Symmetries 45
3.1 Groups............................... 46
3.1.1 Axioms of a Group.................... 46
3.1.2 Representations...................... 48
3.1.3 Irreducible Representations............... 50
3.1.4 Multiplication Tables................... 51
3.2 Lie Groups ............................ 52
3.3 Algebras.............................. 54
3.3.1 Lie Algebras........................ 54
3.4 The Rotation Group SO(3) ................... 55
3.5 Appendix: Lie Algebras from Lie Groups ........... 58
3.6 Questions ............................. 59
Conservation Laws 63
4.1 The Action Principle....................... 63
4.2 Noether s Theorem........................ 66
4.3 Spacetime Symmetries and Their Noether Currents...... 68
4.3.1 Spatial Translations................... 68
4.3.2 Rotations......................... 68
4.3.3 Time Translations.................... 69
4.4 Symmetries and Quantum Mechanics.............. 70
4.4.1 Spatial Translations................... 71
4.4.2 Rotations......................... 72
4.4.3 Time Translations..................... 73
4.5 Summary ............................. 74
4.6 Questions ............................. 74
Particle Classification 77
5.1 General Considerations...................... 77
5.2 Basic Classification........................ 80
5.3 Spectroscopic Notation...................... 83
5.4 Adding Angular Momenta.................... 84
5.4.1 Examples......................... 86
5.5 Appendix: Tools for Angular Momenta............. 87
5.5.1 Pauli-Matrices ...................... 87
5.5.2 Clebsch-Gordon Tables.................. 88
5.6 Questions ............................. 91
Discrete Symmetries 93
6.1 Parity ............................... 93
6.1.1 Parity of the Photon................... 96
6.1.2 Parity Conservation................... 96
6.2 Time-Reversal............,.............. 97
Vll
6.2.1 Detailed Balance..................... 98
6.3 Charge Conjugation .......................100
6.3.1 Charge Conjugation of the Pion.............101
6.3.2 Charge Conjugation of Fermions............101
6.4 Positronium............................102
6.4.1 A Puzzle with ORTHO ................. 104
6.4.2 Testing Fermion-Antifermion Parity.......... 105
6.5 The CPT Theorem ....................... 107
6.6 Questions ............................. 108
Accelerators 111
7.1 DC Voltage Machines ......................112
7.2 Linacs ...............................115
7.2.1 Focusing the Beam....................116
7.3 Synchrotrons ...........................118
7.3.1 Focusing Beams at Synchrotrons............120
7.4 Colliders..............................123
7.5 The Future of Accelerators ...................132
7.6 Questions .............................133
Detectors 135
8.1 Energy Transfer and Deposition.................135
8.1.1 Charged Particles.....................135
8.1.2 Photons..........................140
8.2 Detector Types ..........................144
8.2.1 Scintillation Counters ..................144
8.2.2 Cloud Chambers.....................146
8.2.3 Bubble Chambers.....................146
8.2.4 Spark Chambers.....................148
8.2.5 Wire Chambers......................148
8.2.6 Time Projection Chambers...............149
8.2.7 Cerenkov Counters....................150
8.2.8 Solid State Detectors...................152
8.2.9 Calorimeters .......................155
8.3 Modern Collider Detectors....................156
8.3.1 Tracking Chambers....................156
8.3.2 Electromagnetic Shower Detectors...........156
8.3.3 Hadron Shower Calorimeters ..............157
8.3.4 Muon Chambers.....................158
8.4 Questions .............................159
vm
9 Scattering 161
9.1 Lifetimes..............................161
9.2 Resonances ............................163
9.3 Cross Sections...........................164
9.4 Matrix Elements .........................168
9.4.1 General Features of Decay Rates and Cross-Sections . 171
9.5 2-Body Formulae .........................172
9.5.1 2-Body Decay Rate....................172
9.5.2 2-Body CM Cross-Section................173
9.5.3 2-Body Lab Cross-Section................173
9.6 Detailed Balance Revisited....................174
9.6.1 Pion Spin.........................175
9.7 Questions .............................176
10 A Toy Theory 179
10.1 Feynman Rules ..........................180
10.2 ,4-Decay..............................185
10.3 Scattering in the Toy Theory ..................187
10.4 Higher-Order Diagrams .....................190
10.5 Appendix: n-Dimensional Integration..............194
10.6 Questions .............................197
11 Wave Equations for Elementary Particles 201
11.1 Klein-Gordon Equation .....................202
11.2 Dirac Equation ..........................203
11.3 Physical Interpretation......................206
11.4 Antiparticles ...........................208
11.5 Appendix: The Lorentz Group and Its Representations .... 210
11.6 Questions .............................215
12 Gauge Invariance 219
12.1 Solutions to the Dirac Equation.................219
12.2 Conserved Current ........................221
12.3 The Gauge Principle .......................222
12.4 The Maxwell-Dirac Equations..................223
12.4.1 Physical Features of the Maxwell-Dirac Equations . . 225
12.5 The Wavefunction of the Photon ................226
12.6 Questions .............................227
13 Quantum Electrodynamics 231
13.1 Feynman Rules for QED.....................234
13.2 Examples .............................236
13.2.1 Electron-Muon Scattering................236
13.2.2 Bhabha Scattering (electron-positron scattering) . . . 238
13.2.3 Compton Scattering...................240
IX
13.3 Obtaining Cross-Sections..................... 241
13.4 Appendix: Mathematical Tools for QED............ 246
13.4.1 The Casimir Trick.................... 246
13.4.2 Dirac 7-Matrices and Their Traces .......... 247
13.5 Questions ............................. 249
14 Testing QED 251
14.1 Basic Features of QED Scattering................ 252
14.1.1 Coupling.......................... 252
14.1.2 Propagator........................ 253
14.1.3 Matrix element...................... 253
14.1.4 Dimensionality...................... 254
14.1.5 Antiparticles ....................... 254
14.2 Major Tests of QED ....................... 255
14.2.1 Scattering Processes................... 255
14.2.2 Anomalous Magnetic Moments............. 256
14.2.3 Lamb Shift........................ 262
14.2.4 Running Coupling Constant............... 264
14.3 Questions ............................. 269
15 From Nuclei to Quarks 271
15.1 Range of the Nuclear Force ................... 271
15.2 Isospin............................... 272
15.3 Strangeness ............................ 279
15.4 Flavor ............................... 281
15.5 Color................................286
15.6 Questions .............................288
16 The Quark Model 291
16.1 Baryons.............................. 292
16.2 Mesons............................... 295
16.3 Mass Relations .......................... 300
16.4 Magnetic Moments ........................ 305
16.5 Questions ............................. 307
17 Testing the Quark Model 309
17.1 Vector-Meson Decay ....................... 309
17.2 Hadron Production........................ 312
17.3 Elastic Scattering of Electrons and Protons .......... 316
17.3.1 The Photon-Proton Vertex ............... 317
17.3.2 The Rosenbluth Formula................. 318
17.4 Deep Inelastic Scattering..................... 320
17.5 Quark Model Predictions .................... 323
17.6 Quark Structure Functions.................... 326
17.7 Questions ............................. 328
X
18 Heavy Quarks and QCD 331
18.1 Charm...............................334
18.1.1 The OZI Rule.......................337
18.2 Bottom ..............................340
18.3 Top ................................341
18.4 QCD................................346
18.4.1 Basic Physical Features of QCD.............349
18.5 Appendix: QCD and Yang-Mills Theory............352
18.5.1 Feynman Rules for QCD.................352
18.5.2 Yang-Mills Theory....................356
18.6 Questions .............................359
19 From Beta Decay to Weak Interactions 361
19.1 Fermi s Theory of Beta-Decay..................363
19.2 Neutrino Properties .......................367
19.3 Kaon Oscillation .........................374
19.4 Questions .............................380
20 Charged Leptonic Weak Interactions 383
20.1 Neutrino-Electron Scattering ..................386
20.2 Muon Decay............................388
20.3 Appendix: Mathematical Tools for Weak Interactions.....392
20.3.1 A Note on the e-Tensor................392
20.4 Appendix: 3-Body Phase Space Decay .............393
20.5 Questions .............................396
21 Charged Weak Interactions of Quarks and Leptons 399
21.1 Neutron Decay ..........................399
21.2 Pion Decay............................403
21.3 Quark and Lepton Vertices ...................406
21.4 The GIM Mechanism.......................412
21.5 The CKM Matrix.........................415
21.6 Questions .............................419
22 Electroweak Unification 423
22.1 Neutral Currents ..........................423
22.2 Electroweak Neutral Scattering Processes ...........426
22.2.1 Neutrino-Electron Neutral Current Scattering.....428
22.2.2 Electron-Positron Neutral Current Scattering.....430
22.3 The SU(2) x U(l) Model ....................433
22.4 Questions .............................435
23 Electroweak Symmetry Breaking 437
23.1 The Higgs Mechanism ...................... 437
23.2 Breaking the SU(2) Symmetry ................. 442
23.2.1 The Gauge Equations.................. 443
23.2.2 Gauge-Field Mixing ................... 445
23.2.3 Gauge Boson Masses................... 447
23.3 Fermion Masses.......................... 448
23.4 Appendix: Feynman Rules for Electroweak Theory ...... 455
23.5 Questions ............................. 464
24 Testing Electroweak Theory 467
24.1 Discovery of the W and Z Bosons ...............467
24.2 Lepton Universality and Running Coupling ..........473
24.3 The Search for the Higgs.....................476
24.4 Questions .............................481
25 Beyond the Standard Model 483
25.1 Neutrino Oscillation .......................485
25.2 Neutrino Experiments ......................488
25.2.1 Solar Neutrinos......................488
25.2.2 Atmospheric Neutrinos..................493
25.2.3 Laboratory Neutrinos ..................495
25.3 Neutrino Masses and Mixing Angles ..............497
25.4 Axions and the Neutron Electric Dipole Moment .......500
25.5 Frontiers..............................506
25.5.1 Dark Matter .......................506
25.5.2 Dark Energy .......................507
25.5.3 Grand Unification ....................508
25.5.4 Supersymmetry and Superstrings............510
25.6 Summing Up ...........................514
25.7 Questions .............................515
A Notation and Conventions 517
A.l Natural Units........................... 517
A.2 Relativistic Notation....................... 518
A.2.1 Metric........................... 518
A.2.2 Momentum and Energy................. 521
A.2.3 Lorentz Transformations................. 521
A.3 Greek Alphabet.......................... 522
B Kronecker Delta and Levi-Civita Symbols 523
B.l Kronecker Delta..........................523
B.2 Levi-Civita Symbol........................524
C Dirac Delta-Functions 527
D Pauli and Dirac Matrices 529
D.l Pauli Matrices ..........................529
D.2 Dirac Matrices ..........................530
D.3 Identities and Trace Theorems .................530
E Cross-Sections and Decay Rates 533
E.l Decays...............................533
E.2 Cross-Sections...........................533
E.2.1 2-Body CMS.......................534
E.2.2 2-Body Lab Frame....................534
F Clebsch-Gordon Coefficients 537
G Fundamental Constants 541
H Properties of Elementary Particles 543
I Feynman Rules for the Standard Model 551
J The Large Hadron Rap 557
References 561
Index 579
|
| any_adam_object | 1 |
| author | Mann, Robert 1955- |
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| dewey-full | 539.7/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7/2 |
| dewey-search | 539.7/2 |
| dewey-sort | 3539.7 12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1201/9781420083002 |
| format | Book |
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Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics that most of us have learned in less challenging areas. 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| id | DE-604.BV035765193 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:00Z |
| institution | BVB |
| isbn | 9780429141225 |
| language | English |
| lccn | 2009026775 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018624995 |
| oclc_num | 226357443 |
| open_access_boolean | 1 |
| owner | DE-703 DE-20 DE-11 DE-91G DE-BY-TUM DE-29 DE-706 DE-19 DE-BY-UBM DE-634 |
| owner_facet | DE-703 DE-20 DE-11 DE-91G DE-BY-TUM DE-29 DE-706 DE-19 DE-BY-UBM DE-634 |
| physical | 1 Online-Ressource (XXI, 577 Seiten) Illustrationen |
| psigel | ZDB-94-OAL ZDB-7-TOA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Mann, Robert 1955- Verfasser (DE-588)140141901 aut An introduction to particle physics and the standard model Robert Mann Particle physics and the standard model Boca Raton ; London ; New York CRC Press [2010] © 2010 1 Online-Ressource (XXI, 577 Seiten) Illustrationen txt rdacontent n rdamedia nc rdacarrier An Introduction to the Standard Model of Particle Physics familiarizes readers with what is considered tested and accepted and in so doing, gives them a grounding in particle physics in general. Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics that most of us have learned in less challenging areas. Dr. Mann reviews special relativity and classical mechanics, symmetries, conservation laws, and particle classification; then working from the tested paradigm of the model itself, he describes the standard model in terms of its electromagnetic, strong, and weak components; explores the experimental tools and methods of particle physics; introduces Feynman diagrams, wave equations, and gauge invariance, building up to the theory of quantum electrodynamics; describes the theories of the strong and electroweak interactions; and uncovers frontier areas and explores what might lie beyond our current concepts of the subatomic world. Particles (Nuclear physics) Quark models String models Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd rswk-swf Elementarteilchenphysik (DE-588)4014414-8 gnd rswk-swf Standardmodell Elementarteilchenphysik (DE-588)4297710-1 s DE-604 Elementarteilchenphysik (DE-588)4014414-8 s Erscheint auch als Druck-Ausgabe, Hardcover 978-1-4200-8298-2 https://doi.org/10.1201/9781420083002 Verlag kostenfrei Volltext https://library.oapen.org/handle/20.500.12657/50882 Aggregator kostenfrei Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018624995&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mann, Robert 1955- An introduction to particle physics and the standard model Particles (Nuclear physics) Quark models String models Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd |
| subject_GND | (DE-588)4297710-1 (DE-588)4014414-8 |
| title | An introduction to particle physics and the standard model |
| title_alt | Particle physics and the standard model |
| title_auth | An introduction to particle physics and the standard model |
| title_exact_search | An introduction to particle physics and the standard model |
| title_full | An introduction to particle physics and the standard model Robert Mann |
| title_fullStr | An introduction to particle physics and the standard model Robert Mann |
| title_full_unstemmed | An introduction to particle physics and the standard model Robert Mann |
| title_short | An introduction to particle physics and the standard model |
| title_sort | an introduction to particle physics and the standard model |
| topic | Particles (Nuclear physics) Quark models String models Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd |
| topic_facet | Particles (Nuclear physics) Quark models String models Standardmodell Elementarteilchenphysik Elementarteilchenphysik |
| url | https://doi.org/10.1201/9781420083002 https://library.oapen.org/handle/20.500.12657/50882 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018624995&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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