Introduction to quantum field theory and the standard model:
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| Format: | Buch |
| Sprache: | English |
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New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 242 Seiten Illustrationen, Diagramme (überwiegend farbig) |
| ISBN: | 9789811242175 |
Internformat
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| 100 | 1 | |a Hollik, Wolfgang |d 1951- |e Verfasser |0 (DE-588)121427331 |4 aut | |
| 245 | 1 | 0 | |a Introduction to quantum field theory and the standard model |c Wolfgang Hollik, Max Planck Institute for Physics, Germany |
| 246 | 1 | 3 | |a Quantum field theory and the standard model |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2022] | |
| 264 | 4 | |c © 2022 | |
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Datensatz im Suchindex
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| adam_text | Contents v Preface 1. Special Relativity 1.1 1.2 1.3 1.4 1.5 1.6 1 Notations and Conventions.................................................... Lorentz Transformations ....................................................... 1.2.1 Examples of Lorentz tranformations...................... 1.2.2 General 4-vector....................................................... 1.2.3 Tensor ...................................................................... Mechanics............................................................................... 1.3.1 Covariant equation of motion.................................. Lagrangian Formulation....................................................... 1.4.1 FYee particle............................................................. 1.4.2 Particle in an electromagnetic field......................... Fields and Derivatives.......................................................... 1.5.1 Scalar field................................................................ 1.5.2 Vector field................................................................ 1.5.3 Tensor field................................................................ 1.5.4 Partied derivatives..................................................... Electrodynamics...................................................................... 1.6.1 Potentials................................................................... 1.6.2 Field strengths.......................................................... 1.6.3 Gauge transformations........................................... 1.6.4 Electromagnetic
current........................................... 1.6.5 Maxwell’s equations................................................. 1.6.6 Energy-momentum tensor......................................... vii 1 3 3 5 6 6 8 9 10 11 12 12 13 13 13 14 14 14 15 15 15 16
Introduction to Quantum Field Theory and the Standard Model viii 2. Elements of Relativistic Quantum Field Theory 2.1 2.2 2.3 2.4 3. Klein-Gordon Equation ....................................................... 2.1.1 Relativistic quantum mechanics of spin-0 particles............................................ 20 2.1.2 Quantum field theoretical formulation................... 2.1.3 Current and charge.................................................. 2.1.4 Mechanical observables........................................... Dirac Equation...................................................................... 2.2.1 Relativistic quantum mechanics of spin-1/2 particles .................................................... 2.2.2 Solutions of the Dirac equation............................... 2.2.3 Quantum field theoretical formulation................... Lorentz Symmetry and Dirac Equation............................... 2.3.1 Lorentz transformations and spinors...................... 2.3.2 Covariance of the Dirac equation............................ 2.3.3 Lorentz covariants..................................................... Dirac Particle in an External Electromagnetic Field .... 2.4.1 Electrostatic Coulomb field..................................... 2.4.2 Static magnetic field.................................................. Quantum Electrodynamics 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Free Electromagnetic Field.................................................... 3.1.1 Quantized electromagnetic field ............................. 3.1.2 Mechanical
observables............................................ Interacting Electromagnetic Field........................................ Interacting Dirac-Field.......................................................... Interaction and Time Evolution........................................... S-Matrix Elements and Feynman Graphs............................ 3.5.1 Modus operandi for the calculation of matrix elements......................................... 68 3.5.2 Extension to all fermions........................................ Cross Section......................................................................... 3.6.1 Special case: 2-particle processes............................ 3.6.2 Unpolarized cross section......................................... 3.6.3 Decay width.............................................................. On the Calculation of Cross Sections.................................. 3.7.1 Spinors in matrix elements...................................... 3.7.2 Traces over Dirac matrices...................................... 3.7.3 Polarization sum for photons................................... 19 20 22 24 25 25 26 31 36 41 41 46 49 49 50 51 55 55 56 57 59 61 62 64 70 71 74 76 77 78 78 79 79
Contents 3.8 3.9 4. Lagrangians and Symmetries 4.1 4.2 4.3 4.4 5. Precision Tests of QED.......................................................... 3.8.1 Precision tests at low energies................................ Addendum: Coulomb Gauge and Feynman Graphs .... 3.9.1 Classical solution for the radiation field................. Lagrangian Formalism for Fields........................................... 4.1.1 Scalar field................................................................. 4.1.2 Dirac field ................................................................. 4.1.3 Vector field................................................................. Space-Time Symmetries...................................................... 4.2.1 Translational invariance and 4-momentum .... 4.2.2 Rotational invariance and angular momentum............................................................... Gauge Symmetry and QED................................................. 4.3.1 Local gauge transformations................................... 4.3.2 Summary.................................................................... Non-Abelian Gauge Symmetries........................................... 4.4.1 Global gauge symmetry............................................ 4.4.2 Local gauge symmetry............................................... 4.4.3 Dynamics of the gauge fields................................... 4.4.4 Gauge fixing and ghost fields................................... 4.4.5 Perturbation theory and Feynmangraphs............... Quantum Chromodynamics 5.1 5.2 5.3 5.4 5.5 Formulation of
QCD............................................................. 5.1.1 Feynman rules.......................................................... QCD Processes at High Energies ........................................ 5.2.1 Processes at hadron colliders.................................. Running Coupling Constant................................................. 5.3.1 Fine structure constant of QED............................. 5.3.2 Fine structure constant of QCD............................. Parton Distributions............................................................. 5.4.1 Parton model.............................................................. 5.4.2 Deep-inelastic scattering......................................... 5.4.3 Parton distributions and QCD................................ Hadronic Bound States.......................................................... 5.5.1 Representations of SU(3)......................................... 5.5.2 Hadron states ........................................................... ix 82 83 86 89 91 91 93 94 94 95 96 101 105 107 109 110 Ill 115 117 122 125 127 127 129 131 137 138 139 141 146 146 147 150 157 157 162
Introduction to Quantum Field Theory and the Standard Model x 6. Electroweak Theory 6.1 6.2 6.3 6.4 6.5 6.6 6.7 165 Historical Overview................................................................ 165 Chiral Fermions and Chiral Currents.................................. 166 6.2.1 Chirality.................................................................... 167 V-А Theory and Massive Vector Bosons........................... 168 6.3.1 Formulation for leptons............................................ 168 6.3.2 Muon decay in the Fermi model............................. 169 6.3.3 Intermediate vector bosons...................................... 172 6.3.4 Extension to quarks.................................................. 175 6.3.5 Deficiencies of the V-А theory................................ 177 Electroweak Standard Model................................................. 180 6.4.1 Symmetry group and global gauge invariance . . . 180 6.4.2 Local gauge invariance ............................................ 183 6.4.3 Dynamics of the gauge fields................................... 187 6.4.4 Gauge-boson masses and Higgs mechanism .... 189 6.4.5 Fermion masses and Yukawa interaction................. 199 Phenomenology andTests of the Standard Model............... 204 6.5.1 Neutral currents and neutrino scattering.............. 204 6.5.2 The vector boson masses............................................. 208 6.5.3 Vector bosons in electron-positron annihilation ............................................................. 212 6.5.4 Electroweak precision
tests...................................... 218 Higgs Bosons.......................................................................... 223 6.6.1 Higgs boson production................................................ 225 6.6.2 Higgs boson decays .................................................. 226 6.6.3 Experimental studies ............................................... 229 Open Questions....................................................................... 231 Bibliography 233 Index 239
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| adam_txt |
Contents v Preface 1. Special Relativity 1.1 1.2 1.3 1.4 1.5 1.6 1 Notations and Conventions. Lorentz Transformations . 1.2.1 Examples of Lorentz tranformations. 1.2.2 General 4-vector. 1.2.3 Tensor . Mechanics. 1.3.1 Covariant equation of motion. Lagrangian Formulation. 1.4.1 FYee particle. 1.4.2 Particle in an electromagnetic field. Fields and Derivatives. 1.5.1 Scalar field. 1.5.2 Vector field. 1.5.3 Tensor field. 1.5.4 Partied derivatives. Electrodynamics. 1.6.1 Potentials. 1.6.2 Field strengths. 1.6.3 Gauge transformations. 1.6.4 Electromagnetic
current. 1.6.5 Maxwell’s equations. 1.6.6 Energy-momentum tensor. vii 1 3 3 5 6 6 8 9 10 11 12 12 13 13 13 14 14 14 15 15 15 16
Introduction to Quantum Field Theory and the Standard Model viii 2. Elements of Relativistic Quantum Field Theory 2.1 2.2 2.3 2.4 3. Klein-Gordon Equation . 2.1.1 Relativistic quantum mechanics of spin-0 particles. 20 2.1.2 Quantum field theoretical formulation. 2.1.3 Current and charge. 2.1.4 Mechanical observables. Dirac Equation. 2.2.1 Relativistic quantum mechanics of spin-1/2 particles . 2.2.2 Solutions of the Dirac equation. 2.2.3 Quantum field theoretical formulation. Lorentz Symmetry and Dirac Equation. 2.3.1 Lorentz transformations and spinors. 2.3.2 Covariance of the Dirac equation. 2.3.3 Lorentz covariants. Dirac Particle in an External Electromagnetic Field . 2.4.1 Electrostatic Coulomb field. 2.4.2 Static magnetic field. Quantum Electrodynamics 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Free Electromagnetic Field. 3.1.1 Quantized electromagnetic field . 3.1.2 Mechanical
observables. Interacting Electromagnetic Field. Interacting Dirac-Field. Interaction and Time Evolution. S-Matrix Elements and Feynman Graphs. 3.5.1 Modus operandi for the calculation of matrix elements. 68 3.5.2 Extension to all fermions. Cross Section. 3.6.1 Special case: 2-particle processes. 3.6.2 Unpolarized cross section. 3.6.3 Decay width. On the Calculation of Cross Sections. 3.7.1 Spinors in matrix elements. 3.7.2 Traces over Dirac matrices. 3.7.3 Polarization sum for photons. 19 20 22 24 25 25 26 31 36 41 41 46 49 49 50 51 55 55 56 57 59 61 62 64 70 71 74 76 77 78 78 79 79
Contents 3.8 3.9 4. Lagrangians and Symmetries 4.1 4.2 4.3 4.4 5. Precision Tests of QED. 3.8.1 Precision tests at low energies. Addendum: Coulomb Gauge and Feynman Graphs . 3.9.1 Classical solution for the radiation field. Lagrangian Formalism for Fields. 4.1.1 Scalar field. 4.1.2 Dirac field . 4.1.3 Vector field. Space-Time Symmetries. 4.2.1 Translational invariance and 4-momentum . 4.2.2 Rotational invariance and angular momentum. Gauge Symmetry and QED. 4.3.1 Local gauge transformations. 4.3.2 Summary. Non-Abelian Gauge Symmetries. 4.4.1 Global gauge symmetry. 4.4.2 Local gauge symmetry. 4.4.3 Dynamics of the gauge fields. 4.4.4 Gauge fixing and ghost fields. 4.4.5 Perturbation theory and Feynmangraphs. Quantum Chromodynamics 5.1 5.2 5.3 5.4 5.5 Formulation of
QCD. 5.1.1 Feynman rules. QCD Processes at High Energies . 5.2.1 Processes at hadron colliders. Running Coupling Constant. 5.3.1 Fine structure constant of QED. 5.3.2 Fine structure constant of QCD. Parton Distributions. 5.4.1 Parton model. 5.4.2 Deep-inelastic scattering. 5.4.3 Parton distributions and QCD. Hadronic Bound States. 5.5.1 Representations of SU(3). 5.5.2 Hadron states . ix 82 83 86 89 91 91 93 94 94 95 96 101 105 107 109 110 Ill 115 117 122 125 127 127 129 131 137 138 139 141 146 146 147 150 157 157 162
Introduction to Quantum Field Theory and the Standard Model x 6. Electroweak Theory 6.1 6.2 6.3 6.4 6.5 6.6 6.7 165 Historical Overview. 165 Chiral Fermions and Chiral Currents. 166 6.2.1 Chirality. 167 V-А Theory and Massive Vector Bosons. 168 6.3.1 Formulation for leptons. 168 6.3.2 Muon decay in the Fermi model. 169 6.3.3 Intermediate vector bosons. 172 6.3.4 Extension to quarks. 175 6.3.5 Deficiencies of the V-А theory. 177 Electroweak Standard Model. 180 6.4.1 Symmetry group and global gauge invariance . . . 180 6.4.2 Local gauge invariance . 183 6.4.3 Dynamics of the gauge fields. 187 6.4.4 Gauge-boson masses and Higgs mechanism . 189 6.4.5 Fermion masses and Yukawa interaction. 199 Phenomenology andTests of the Standard Model. 204 6.5.1 Neutral currents and neutrino scattering. 204 6.5.2 The vector boson masses. 208 6.5.3 Vector bosons in electron-positron annihilation . 212 6.5.4 Electroweak precision
tests. 218 Higgs Bosons. 223 6.6.1 Higgs boson production. 225 6.6.2 Higgs boson decays . 226 6.6.3 Experimental studies . 229 Open Questions. 231 Bibliography 233 Index 239 |
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| spelling | Hollik, Wolfgang 1951- Verfasser (DE-588)121427331 aut Introduction to quantum field theory and the standard model Wolfgang Hollik, Max Planck Institute for Physics, Germany Quantum field theory and the standard model New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] © 2022 x, 242 Seiten Illustrationen, Diagramme (überwiegend farbig) txt rdacontent n rdamedia nc rdacarrier bicssc / Particle & high-energy physics Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Standardmodell Elementarteilchenphysik (DE-588)4297710-1 s DE-604 Erscheint auch als Online-Ausgabe 978-981-124-218-2 Erscheint auch als Online-Ausgabe 978-981-124-219-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033193683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hollik, Wolfgang 1951- Introduction to quantum field theory and the standard model bicssc / Particle & high-energy physics Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
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| title | Introduction to quantum field theory and the standard model |
| title_alt | Quantum field theory and the standard model |
| title_auth | Introduction to quantum field theory and the standard model |
| title_exact_search | Introduction to quantum field theory and the standard model |
| title_exact_search_txtP | Introduction to quantum field theory and the standard model |
| title_full | Introduction to quantum field theory and the standard model Wolfgang Hollik, Max Planck Institute for Physics, Germany |
| title_fullStr | Introduction to quantum field theory and the standard model Wolfgang Hollik, Max Planck Institute for Physics, Germany |
| title_full_unstemmed | Introduction to quantum field theory and the standard model Wolfgang Hollik, Max Planck Institute for Physics, Germany |
| title_short | Introduction to quantum field theory and the standard model |
| title_sort | introduction to quantum field theory and the standard model |
| topic | bicssc / Particle & high-energy physics Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | bicssc / Particle & high-energy physics Standardmodell Elementarteilchenphysik Quantenfeldtheorie |
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