Quantum field theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
2013
|
| Schriftenreihe: | De Gruyter studies in mathematical physics
17 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 10 Functional integrals: scalars and spinors Preface; 1 Basics of elementary particles; 1.1 Fundamental particles; 1.1.1 Fermions; 1.1.2 Vector bosons; 1.2 Fundamental interactions; 1.3 The Standard Model and perspectives; 2 Lagrange formalism. Symmetries and gauge fields; 2.1 Lagrange mechanics of a particle; 2.2 Real scalar field. Lagrange equations; 2.3 The Noether theorem; 2.4 Complex scalar and electromagnetic fields; 2.5 Yang-Mills fields; 2.6 The geometry of gauge fields; 2.7 A realistic example -- chromodynamics; 3 Canonical quantization, symmetries in quantum field theory; 3.1 Photons 3.1.1 Quantization of the electromagnetic field3.1.2 Remarks on gauge invariance and Bose statistics; 3.1.3 Vacuum fluctuations and Casimir effect; 3.2 Bosons; 3.2.1 Scalar particles; 3.2.2 Truly neutral particles; 3.2.3 CPT-transformations; 3.2.4 Vector bosons; 3.3 Fermions; 3.3.1 Three-dimensional spinors; 3.3.2 Spinors of the Lorentz group; 3.3.3 The Dirac equation; 3.3.4 The algebra of Dirac's matrices; 3.3.5 Plane waves; 3.3.6 Spin and statistics; 3.3.7 C, P, T transformations for fermions; 3.3.8 Bilinear forms; 3.3.9 The neutrino 4 The Feynman theory of positron and elementary quantum electrodynamics4.1 Nonrelativistic theory. Green's functions; 4.2 Relativistic theory; 4.3 Momentum representation; 4.4 The electron in an external electromagnetic field; 4.5 The two-particle problem; 5 Scattering matrix; 5.1 Scattering amplitude; 5.2 Kinematic invariants; 5.3 Unitarity; 6 Invariant perturbation theory; 6.1 Schroedinger and Heisenberg representations; 6.2 Interaction representation; 6.3 S-matrix expansion; 6.4 Feynman diagrams for electron scattering in quantum electrodynamics; 6.5 Feynman diagrams for photon scattering 6.6 Electron propagator6.7 The photon propagator; 6.8 The Wick theorem and general diagram rules; 7 Exact propagators and vertices; 7.1 Field operators in the Heisenberg representation and interaction representation; 7.2 The exact propagator of photons; 7.3 The exact propagator of electrons; 7.4 Vertex parts; 7.5 Dyson equations; 7.6 Ward identity; 8 Some applications of quantum electrodynamics; 8.1 Electron scattering by static charge: higher order corrections; 8.2 The Lamb shift and the anomalous magnetic moment; 8.3 Renormalization -- how it works; 8.4 "Running" the coupling constant 8.5 Annihilation of e+e~ into hadrons. Proof of the existence of quarks8.6 The physical conditions for renormalization; 8.7 The classification and elimination of divergences; 8.8 The asymptotic behavior of a photon propagator at large momenta .; 8.9 Relation between the "bare" and "true" charges; 8.10 The renormalization group in QED; 8.11 The asymptotic nature of a perturbation series; 9 Path integrals and quantum mechanics; 9.1 Quantum mechanics and path integrals; 9.2 Perturbation theory; 9.3 Functional derivatives; 9.4 Some properties of functional integrals This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The work illustrates the unity of modern theoretical physics by combining approaches and concepts of the quantum field theory and modern condensed matter theory. The inductive approach allows a deep understanding of ideas and methods used for solving problems in this field Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (x, 409 pages) |
| ISBN: | 1299723535 3110270358 9781299723535 9783110270358 |
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| 500 | |a 10 Functional integrals: scalars and spinors | ||
| 500 | |a Preface; 1 Basics of elementary particles; 1.1 Fundamental particles; 1.1.1 Fermions; 1.1.2 Vector bosons; 1.2 Fundamental interactions; 1.3 The Standard Model and perspectives; 2 Lagrange formalism. Symmetries and gauge fields; 2.1 Lagrange mechanics of a particle; 2.2 Real scalar field. Lagrange equations; 2.3 The Noether theorem; 2.4 Complex scalar and electromagnetic fields; 2.5 Yang-Mills fields; 2.6 The geometry of gauge fields; 2.7 A realistic example -- chromodynamics; 3 Canonical quantization, symmetries in quantum field theory; 3.1 Photons | ||
| 500 | |a 3.1.1 Quantization of the electromagnetic field3.1.2 Remarks on gauge invariance and Bose statistics; 3.1.3 Vacuum fluctuations and Casimir effect; 3.2 Bosons; 3.2.1 Scalar particles; 3.2.2 Truly neutral particles; 3.2.3 CPT-transformations; 3.2.4 Vector bosons; 3.3 Fermions; 3.3.1 Three-dimensional spinors; 3.3.2 Spinors of the Lorentz group; 3.3.3 The Dirac equation; 3.3.4 The algebra of Dirac's matrices; 3.3.5 Plane waves; 3.3.6 Spin and statistics; 3.3.7 C, P, T transformations for fermions; 3.3.8 Bilinear forms; 3.3.9 The neutrino | ||
| 500 | |a 4 The Feynman theory of positron and elementary quantum electrodynamics4.1 Nonrelativistic theory. Green's functions; 4.2 Relativistic theory; 4.3 Momentum representation; 4.4 The electron in an external electromagnetic field; 4.5 The two-particle problem; 5 Scattering matrix; 5.1 Scattering amplitude; 5.2 Kinematic invariants; 5.3 Unitarity; 6 Invariant perturbation theory; 6.1 Schroedinger and Heisenberg representations; 6.2 Interaction representation; 6.3 S-matrix expansion; 6.4 Feynman diagrams for electron scattering in quantum electrodynamics; 6.5 Feynman diagrams for photon scattering | ||
| 500 | |a 6.6 Electron propagator6.7 The photon propagator; 6.8 The Wick theorem and general diagram rules; 7 Exact propagators and vertices; 7.1 Field operators in the Heisenberg representation and interaction representation; 7.2 The exact propagator of photons; 7.3 The exact propagator of electrons; 7.4 Vertex parts; 7.5 Dyson equations; 7.6 Ward identity; 8 Some applications of quantum electrodynamics; 8.1 Electron scattering by static charge: higher order corrections; 8.2 The Lamb shift and the anomalous magnetic moment; 8.3 Renormalization -- how it works; 8.4 "Running" the coupling constant | ||
| 500 | |a 8.5 Annihilation of e+e~ into hadrons. Proof of the existence of quarks8.6 The physical conditions for renormalization; 8.7 The classification and elimination of divergences; 8.8 The asymptotic behavior of a photon propagator at large momenta .; 8.9 Relation between the "bare" and "true" charges; 8.10 The renormalization group in QED; 8.11 The asymptotic nature of a perturbation series; 9 Path integrals and quantum mechanics; 9.1 Quantum mechanics and path integrals; 9.2 Perturbation theory; 9.3 Functional derivatives; 9.4 Some properties of functional integrals | ||
| 500 | |a This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The work illustrates the unity of modern theoretical physics by combining approaches and concepts of the quantum field theory and modern condensed matter theory. The inductive approach allows a deep understanding of ideas and methods used for solving problems in this field | ||
| 500 | |a Includes bibliographical references and index | ||
| 648 | 7 | |a Geschichte 1959-1975 |2 gnd |9 rswk-swf | |
| 650 | 7 | |a SCIENCE / Waves & Wave Mechanics |2 bisacsh | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804175495412056064 |
|---|---|
| any_adam_object | |
| author | Sadovskiĭ, M. V. , (Mikhail Vissarionovich) |
| author_facet | Sadovskiĭ, M. V. , (Mikhail Vissarionovich) |
| author_role | aut |
| author_sort | Sadovskiĭ, M. V. , (Mikhail Vissarionovich) |
| author_variant | m v m v s mvmv mvmvs |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| era | Geschichte 1959-1975 gnd |
| era_facet | Geschichte 1959-1975 |
| format | Electronic eBook |
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| id | DE-604.BV043092867 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:12Z |
| institution | BVB |
| isbn | 1299723535 3110270358 9781299723535 9783110270358 |
| language | English |
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| series2 | De Gruyter studies in mathematical physics |
| spelling | Sadovskiĭ, M. V. , (Mikhail Vissarionovich) Verfasser aut Quantum field theory Berlin De Gruyter 2013 1 Online-Ressource (x, 409 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematical physics 17 10 Functional integrals: scalars and spinors Preface; 1 Basics of elementary particles; 1.1 Fundamental particles; 1.1.1 Fermions; 1.1.2 Vector bosons; 1.2 Fundamental interactions; 1.3 The Standard Model and perspectives; 2 Lagrange formalism. Symmetries and gauge fields; 2.1 Lagrange mechanics of a particle; 2.2 Real scalar field. Lagrange equations; 2.3 The Noether theorem; 2.4 Complex scalar and electromagnetic fields; 2.5 Yang-Mills fields; 2.6 The geometry of gauge fields; 2.7 A realistic example -- chromodynamics; 3 Canonical quantization, symmetries in quantum field theory; 3.1 Photons 3.1.1 Quantization of the electromagnetic field3.1.2 Remarks on gauge invariance and Bose statistics; 3.1.3 Vacuum fluctuations and Casimir effect; 3.2 Bosons; 3.2.1 Scalar particles; 3.2.2 Truly neutral particles; 3.2.3 CPT-transformations; 3.2.4 Vector bosons; 3.3 Fermions; 3.3.1 Three-dimensional spinors; 3.3.2 Spinors of the Lorentz group; 3.3.3 The Dirac equation; 3.3.4 The algebra of Dirac's matrices; 3.3.5 Plane waves; 3.3.6 Spin and statistics; 3.3.7 C, P, T transformations for fermions; 3.3.8 Bilinear forms; 3.3.9 The neutrino 4 The Feynman theory of positron and elementary quantum electrodynamics4.1 Nonrelativistic theory. Green's functions; 4.2 Relativistic theory; 4.3 Momentum representation; 4.4 The electron in an external electromagnetic field; 4.5 The two-particle problem; 5 Scattering matrix; 5.1 Scattering amplitude; 5.2 Kinematic invariants; 5.3 Unitarity; 6 Invariant perturbation theory; 6.1 Schroedinger and Heisenberg representations; 6.2 Interaction representation; 6.3 S-matrix expansion; 6.4 Feynman diagrams for electron scattering in quantum electrodynamics; 6.5 Feynman diagrams for photon scattering 6.6 Electron propagator6.7 The photon propagator; 6.8 The Wick theorem and general diagram rules; 7 Exact propagators and vertices; 7.1 Field operators in the Heisenberg representation and interaction representation; 7.2 The exact propagator of photons; 7.3 The exact propagator of electrons; 7.4 Vertex parts; 7.5 Dyson equations; 7.6 Ward identity; 8 Some applications of quantum electrodynamics; 8.1 Electron scattering by static charge: higher order corrections; 8.2 The Lamb shift and the anomalous magnetic moment; 8.3 Renormalization -- how it works; 8.4 "Running" the coupling constant 8.5 Annihilation of e+e~ into hadrons. Proof of the existence of quarks8.6 The physical conditions for renormalization; 8.7 The classification and elimination of divergences; 8.8 The asymptotic behavior of a photon propagator at large momenta .; 8.9 Relation between the "bare" and "true" charges; 8.10 The renormalization group in QED; 8.11 The asymptotic nature of a perturbation series; 9 Path integrals and quantum mechanics; 9.1 Quantum mechanics and path integrals; 9.2 Perturbation theory; 9.3 Functional derivatives; 9.4 Some properties of functional integrals This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The work illustrates the unity of modern theoretical physics by combining approaches and concepts of the quantum field theory and modern condensed matter theory. The inductive approach allows a deep understanding of ideas and methods used for solving problems in this field Includes bibliographical references and index Geschichte 1959-1975 gnd rswk-swf SCIENCE / Waves & Wave Mechanics bisacsh Quantum field theory fast Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1998 Ringberg Tegernsee gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content 3\p (DE-588)4135952-5 Quelle gnd-content Quantenfeldtheorie (DE-588)4047984-5 s Geschichte 1959-1975 z 4\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 3-11-027029-3 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-11-027029-7 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=604344 Aggregator Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sadovskiĭ, M. V. , (Mikhail Vissarionovich) Quantum field theory SCIENCE / Waves & Wave Mechanics bisacsh Quantum field theory fast Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)1071861417 (DE-588)4123623-3 (DE-588)4135952-5 |
| title | Quantum field theory |
| title_auth | Quantum field theory |
| title_exact_search | Quantum field theory |
| title_full | Quantum field theory |
| title_fullStr | Quantum field theory |
| title_full_unstemmed | Quantum field theory |
| title_short | Quantum field theory |
| title_sort | quantum field theory |
| topic | SCIENCE / Waves & Wave Mechanics bisacsh Quantum field theory fast Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | SCIENCE / Waves & Wave Mechanics Quantum field theory Quantenfeldtheorie Konferenzschrift 1998 Ringberg Tegernsee Lehrbuch Quelle |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=604344 |
| work_keys_str_mv | AT sadovskiimvmikhailvissarionovich quantumfieldtheory |