Gauge theories in particle physics: a practical introduction
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bristol u.a.
Hilger
1989
|
| Edition: | 2. ed. |
| Series: | Graduate student series in physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 571 S. zahlr. graph. Darst. |
| ISBN: | 0852743297 0852743289 |
Staff View
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Record in the Search Index
| _version_ | 1804116906870833152 |
|---|---|
| adam_text | IMAGE 1
GRADUATE STUDENT SERIES IN PHYSICS
SERIES EDITOR: PROFESSOR DOUGLAS F BREWER, M.A., D.PHIL. PROFESSOR OF
EXPERIMENTAL PHYSICS, UNIVERSITY OF SUSSEX
GAUGE THEORIES
IN PARTICLE PHYSICS A PRACTICAL INTRODUCTION 2ND EDITION
IAN J R AITCHISON DEPARTMENT OF THEORETICAL PHYSICS UNIVERSITY, OF
OXFORD
ANTHONY J G HEY
DEPARTMENT OF ELECTRONICS AND COMPUTER SCIENCE UNIVERSITY OF SOUTHAMPTON
I O: ^ S ?- ; ^Z I
ADAM HILGER, BRISTOL AND PHILADELPHIA
IMAGE 2
CONTENTS
PREFACE
PART I: EXPERIMENTAL AND THEORETICAL ELEMENTS
1 QUARKS AND LEPTONS, AND THE FORCES BETWEEN THEM 3
1.1 THE STANDARD MODEL . 3
1.2 LEVELS OF STRUCTURE: FROM ATOMS TO QUARKS 5
1.3 THE THEORETICAL FRAMEWORK: MATTER AND FORCE IN RELATIVISTIC QUANTUM
FIELD THEORY 23
1.4 UNWANTED COMPLICATIONS 31
2 ELECTROMAGNETISM AS A GAUGE THEORY 41
2.1 INTRODUCTION 41
2.2 THE MAXWELL EQUATIONS: CURRENT CONSERVATION 42
2.3 THE MAXWELL EQUATIONS: GAUGE INVARIANCE 44
2.4 GAUGE INVARIANCE IN QUANTUM MECHANICS 48
2.5 THE ARGUMENT REVERSED: THE GAUGE PRINCIPLE 51
2.6 COMMENTS ON THE GAUGE PRINCIPLE IN ELECTROMAGNETISM 54
3 THE KLEIN-GORDON AND DIRAC WAVE EQUATIONS, AND THE INTERPRETATION OF
THEIR NEGATIVE-ENERGY SOLUTIONS 62
3.1 INTRODUCTION 62
3.2 THE KLEIN-GORDON EQUATION 63
3.3 THE DIRAC EQUATION 66
3.4 THE DIRAC AND FEYNMAN INTERPRETATIONS OF NEGATIVE- ENERGY SOLUTIONS
71
3.5 FEYNMAN INTERPRETATION OF THE NEGATIVE-ENERGY SOLUTIONS OF THE DIRAC
EQUATION 76
3.6 INCLUSION OF ELECTROMAGNETIC INTERACTIONS VIA THE GAUGE 79 PRINCIPLE
4 QUANTUM FIELD THEORY 85
4.1 THE QUANTUM FIELD: (I) DESCRIPTIVE 85
4.2 THE QUANTUM FIELD: (II) LAGRANGE-HAMILTON FORMULATION 94 4.3
INTERACTIONS IN QUANTUM FIELD THEORY 109
IMAGE 3
XII CONTENTS
4.4 THE QUANTUM FIELD THEORY OF THE KLEIN-GORDON FIELD 111 4.5 FERMIONIC
FIELDS AND THE SPIN-STATISTICS CONNECTION 118 4.6 A PREVIEW OF QED 120
PART II: THE BEST THEORY WE HAVE: QUANTUM ELECTRODYNAMICS
5 THE ELECTROMAGNETIC INTERACTIONS OF SPIN-0 PARTICLES: FORCES AND
PARTICLE EXCHANGE PROCESSES 131
5.1 FIRST-ORDER PERTURBATION THEORY 131
5.2 FIRST-ORDER QUANTUM FIELD THEORY 136
5.3 ELECTROMAGNETIC SCATTERING OF CHARGED SPINLESS BOSONS 140 5.4 CROSS
SECTION FOR TWO-PARTICLE SCATTERING 142
5.5 EXPLICIT EVALUATION OF THE ,A + B- A + B CROSS SECTION 144 5.6
SCATTERING AS AN EXCHANGE PROCESS: FORCES IN QUANTUM FIELD THEORY, AND
THE FEYNMAN GRAPH FOR THE MATRIX ELEMENT 150
5.7 MORE EXAMPLES: ELECTROMAGNETIC TT +TT+ AND IR + N~ SCAT- TERING 157
5.8 PION COMPTON SCATTERING: THE PION PROPAGATOR, AND GAUGE INVARIANCE
159
5.9 TREES AND LOOPS: HIGHER-ORDER CALCULATIONS 166
6 THE ELECTROMAGNETIC INTERACTIONS OF SPIN-| PARTICLES 172 6.1
FIRST-ORDER PERTURBATION THEORY 172
6.2 NORMALISATION OF DIRAC SPINORS 174
6.3 ;R + E~ ELASTIC SCATTERING 176
6.4 TRACE TECHNIQUES FOR SPIN SUMMATIONS 179
6.5 CROSS SECTIONS FOR E~N + AND E + N + SCATTERING 183
6.6 THE PION FORM FACTOR AND INVARIANCE ARGUMENTS 185
6.7 ELECTRON-MUON ELASTIC SCATTERING 189
6.8 ELECTRON-PROTON ELASTIC SCATTERING AND NUCLEON FORM FACTORS 191 6.9
ELECTRON COMPTON SCATTERING: THE ELECTRON PROPAGATOR 196 6.10
HIGHER-ORDER CALCULATIONS: RENORMALISATION AND TESTS OF QED 200
7 DEEP INELASTIC ELECTRON-NUCLEON SCATTERING AND THE QUARK PARTON MODEL
220
7.1 INELASTIC E P SCATTERING: KINEMATICS AND STRUCTURE FUNCTIONS 220
7.2 BJORKEN SCALING AND THE PARTON MODEL 223
7.3 THE QUARK PARTON MODEL 232
7.4 THE DRELL-YAN PROCESS 235
7.5 E + E~ ANNIHILATION INTO HADRONS 239
IMAGE 4
CONTENTS XIII
PART III: NON-ABELIAN GAUGE THEORY AND QCD
NON-ABELIAN GAUGE THEORY 249
8.1 NON-ABELIAN GLOBAL PHASE INVARIANCE: INTERNAL SYMMET- RY MULTIPLETS
250
8.2 NON-ABELIAN GLOBAL SYMMETRIES IN LAGRANGIAN QUANTUM FIELD THEORY -
259
8.3 LOCAL NON-ABELIAN PHASE INVARIANCE: NON-ABELIAN GAUGE THEORIES 263
8.4 GAUGE FIELD SELF-INTERACTIONS: (I) HEURISTIC 271
8.5 GAUGE FIELD SELF-INTERACTIONS: (II) LAGRANGIAN APPROACH 278
AN INTRODUCTION TO QUANTUM CHROMODYNAMICS 281 9.1 THE COLOUR DEGREE OF
FREEDOM 281
9.2 THE DYNAMICS OF COLOUR 283
9.3 ASYMPTOTIC FREEDOM * 291
9.4 HARD SCATTERING PROCESSES AND OCD TREE GRAPHS 299 9.5 QCD PREDICTION
FOR THE TOTAL CROSS SECTION A (E + E~ - HADRONS) 318
9.6 QCD PREDICTIONS FOR SCALING VIOLATIONS IN DEEP INELASTIC SCATTERING
322
PART IV: NOT QUITE A THEORY: PHENOMENOLOGY OF WEAK INTERACTIONS
10 INTRODUCTION TO WEAK INTERACTIONS 337
10.1 FERMI THEORY AND INTERMEDIATE VECTOR BOSONS 337 10.2 PARITY
VIOLATION IN WEAK INTERACTIONS 343
10.3 VECTOR AND AXIAL VECTOR CURRENTS 344
10.4 LEFT-HANDED NEUTRINOS 347
10.5 V-A THEORY 350
11 THE HADRONIC WEAK CURRENT AND NEUTRAL CURRENTS 359 11.1 UNIVERSALITY
AND CABIBBO THEORY 359
11.2 DEEP INELASTIC NEUTRINO SCATTERING 362
11.3 NEUTRAL CURRENTS 366
11.4 CHARM AND THE GLASHOW-ILIOPOULOS-MAIANI MECHANISM 369 11.5
CONCLUDING COMMENTS 373
12 DIFFICULTIES WITH WEAK INTERACTION PHENOMENOLOGY 376 12.1 VIOLATION
OF UNITARITY IN THE POINTLIKE FOUR-FERMION MODEL 376 12.2 VIOLATION OF
UNITARITY BOUNDS IN THE IVB MODEL 379 12.3 THE PROBLEM OF
NON-RENORMALISABILITY IN WEAK INTERACTIONS 384
IMAGE 5
XIV CONTENTS
PART V: THEORY OF ELECTROWEAK INTERACTIONS
13 HIDDEN GAUGE INVARIANCE: THE U(L) CASE 393
13.1 INTRODUCTION 393
13.2 SCREENING CURRENTS AND THE GENERATION OF PHOTON MASS 395 13.3 THE
NATURE OF THE PHYSICAL VACUUM: SPONTANEOUS SYMMETRY BREAKDOWN 405
13.4 GAUGE INVARIANCE WHEN THE SYMMETRY IS HIDDEN 411 13.5 T HOOFT S
GAUGES . 416
14 THE GLASHOW-SALAM-WEINBERG GAUGE THEORY OF ELECTROWEAK INTERACTIONS
422
14.1 INTRODUCTION 422
14.2 WEAK ISOSPIN AND HYPERCHARGE: THE SU(2) X U(L) GROUP OF THE
ELECTROWEAK INTERACTIONS 423
14.3 SU(2) L X U(L) AS A LOCAL SYMMETRY: CHARGED CURRENT VERTICES 428
14.4 HIDDEN SU(2) L X U(L) GAUGE INVARIANCE 430
14.5 SIMPLE PHENOMENOLOGICAL IMPLICATIONS 438
14.6 DISCOVERY OF THE W* AND Z AT THE PP COLLIDER, AND THEIR PROPERTIES
451
14.7 FEYNMAN RULES FOR TREE GRAPHS IN THE GSW THEORY AND THE HIGGS
SECTOR 458
14.8 THE PROBLEM OF THE FERMION MASSES 463
PART VI: BEYOND THE TREES
15 FOUR LAST THINGS 471
15.1 GHOST LOOPS AND UNITARITY IN NON-ABELIAN GAUGE THEORIES 471 15.2
GRAND UNIFICATION 481
15.3 CONFINEMENT 488
15.4 LATTICE GAUGE THEORIES . 492
APPENDIX A : QUANTUM MECHANICS, SPECIAL RELATIVITY, AND 5 FUNCTION 507
APPENDIX B : NATURAL UNITS 526
APPENDIX C : MAXWELL S EQUATIONS: CHOICE OF UNITS 529
APPENDIX D : DIRAC AJGEBRA AND TRACE THEOREMS 532
APPENDIX E : EXAMPLE OF A CROSS SECTION CALCULATION 537
APPENDIX F : FEYNMAN RULES FOR TREE GRAPHS IN QED, QCD AND THE
ELECTROWEAK THEORY 542
REFERENCES 551
INDEX 559
|
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| id | DE-604.BV002500553 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:45:57Z |
| institution | BVB |
| isbn | 0852743297 0852743289 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001610794 |
| oclc_num | 55072132 |
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| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-83 |
| physical | XIV, 571 S. zahlr. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Hilger |
| record_format | marc |
| series2 | Graduate student series in physics |
| spelling | Aitchison, Ian Johnston Rhind 1936- Verfasser (DE-588)115885420 aut Gauge theories in particle physics a practical introduction Ian J. R. Aitchison ; Anthony J. G. Hey 2. ed. Bristol u.a. Hilger 1989 XIV, 571 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate student series in physics Feynman diagrams Gauge fields (Physics) Particles (Nuclear physics) Quantum electrodynamics Weak interactions (Nuclear physics) Elementarteilchen (DE-588)4014413-6 gnd rswk-swf Eichtheorie (DE-588)4122125-4 gnd rswk-swf Elementarteilchenphysik (DE-588)4014414-8 gnd rswk-swf Eichtheorie (DE-588)4122125-4 s Elementarteilchenphysik (DE-588)4014414-8 s 1\p DE-604 Elementarteilchen (DE-588)4014413-6 s 2\p DE-604 Hey, Anthony J. G. 1946- Verfasser (DE-588)118166336 aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001610794&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aitchison, Ian Johnston Rhind 1936- Hey, Anthony J. G. 1946- Gauge theories in particle physics a practical introduction Feynman diagrams Gauge fields (Physics) Particles (Nuclear physics) Quantum electrodynamics Weak interactions (Nuclear physics) Elementarteilchen (DE-588)4014413-6 gnd Eichtheorie (DE-588)4122125-4 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd |
| subject_GND | (DE-588)4014413-6 (DE-588)4122125-4 (DE-588)4014414-8 |
| title | Gauge theories in particle physics a practical introduction |
| title_auth | Gauge theories in particle physics a practical introduction |
| title_exact_search | Gauge theories in particle physics a practical introduction |
| title_full | Gauge theories in particle physics a practical introduction Ian J. R. Aitchison ; Anthony J. G. Hey |
| title_fullStr | Gauge theories in particle physics a practical introduction Ian J. R. Aitchison ; Anthony J. G. Hey |
| title_full_unstemmed | Gauge theories in particle physics a practical introduction Ian J. R. Aitchison ; Anthony J. G. Hey |
| title_short | Gauge theories in particle physics |
| title_sort | gauge theories in particle physics a practical introduction |
| title_sub | a practical introduction |
| topic | Feynman diagrams Gauge fields (Physics) Particles (Nuclear physics) Quantum electrodynamics Weak interactions (Nuclear physics) Elementarteilchen (DE-588)4014413-6 gnd Eichtheorie (DE-588)4122125-4 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd |
| topic_facet | Feynman diagrams Gauge fields (Physics) Particles (Nuclear physics) Quantum electrodynamics Weak interactions (Nuclear physics) Elementarteilchen Eichtheorie Elementarteilchenphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001610794&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT aitchisonianjohnstonrhind gaugetheoriesinparticlephysicsapracticalintroduction AT heyanthonyjg gaugetheoriesinparticlephysicsapracticalintroduction |