Quantum electrodynamics: Gribov lectures on theoretical physics
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
| Edition: | digitaly print., 1. paperback version |
| Series: | Cambridge monographs on particle physics, nuclear physics and cosmology
13 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 270 S. graph. Darst. |
| ISBN: | 0521675693 9780521675697 |
Staff View
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| 100 | 1 | |a Gribov, Vladimir Naumovich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum electrodynamics |b Gribov lectures on theoretical physics |c V. N. Gribov and J. Nyiri |
| 250 | |a digitaly print., 1. paperback version | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2005 | |
| 300 | |a XI, 270 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Record in the Search Index
| _version_ | 1804137577434841088 |
|---|---|
| adam_text | Contents
Foreword
xi
1
Particles and their interactions in relativistic quantum
mechanics
1
1.1
The propagator
1
1.2
The Green function
5
1.2.1
The Green function for a system of particles
7
1.2.2
The momentum representation
8
1.2.3
Virtual particles
12
1.3
The scattering amplitude
13
1.3.1
How to calculate physical
observables
13
1.3.2
Poles in the scattering amplitude and the bound states
16
1.4
The electromagnetic field
17
1.5
Photons in an external field
25
1.5.1
Relativistic propagator
25
1.5.2
Relativistic interaction
27
1.5.3
Relativistic Green function
30
1.5.4
Propagation of vector photons
33
1.6
Free massive relativistic particles
36
1.7
Interactions of spinless particles
38
1.8
Interaction of spinless particles with the electromagnetic field
46
1.9
Examples of the simplest electromagnetic processes
51
1.9.1
Scattering of charged particles
52
1.9.2
The Compton effect (phokMwt-meson scattering)
54
1.10
Diagrams and amplitudes in momentum representation
56
1.10.1
Photon emission amplitude in momentum space
56
1.10.2
Meson-meson scattering via photon exchange
57
1.10.3
Feynman rules
58
vii
viii Contents
1.11
Amplitudes
of physical processes
59
1.11.1
The unitarity condition
61
1.11.2
S-matrix
61
1.11.3
Invariant scattering amplitude
65
1.11.4
Cross section
65
1.11.5 2 -» 2
scattering
67
1.11.6
π~π~
scattering
68
1.11.7
π+π~
scattering
71
1.12
The
Mandelstam
plane
75
1.13
The Compton effect (for
π
-mesons)
80
2
Particles with spin |. Basic quantum electrodynamic
processes
85
2.1
Free particles with spin
85
2.2
The Green function of the electron
98
2.3
Matrix elements of electron scattering amplitudes
100
2.4
Electron-photon interaction
102
2.5
Electron-electron scattering
105
2.5.1
Connection between spin and statistics
106
2.5.2
Electron charge 111
2.6
The Compton effect
112
2.6.1
Compton scattering at small energies
121
2.6.2
Compton scattering at high energies
123
2.7
Electron-positron annihilation into two photons
125
2.7.1
Annihilation near threshold
128
2.7.2
e+e~ annihilation at very high energies
128
2.8
Electron scattering in an external field
130
2.9
Electron bremsstrahlung in an external field
132
2.9.1
Emission of a soft photon by a low energy electron
133
2.9.2
Soft radiation off a high energy electron
135
2.10
The
Weizsäcker-Williams
formula
137
3
General properties of the scattering amplitude
144
3.1
Symmetries in quantum electrodynamics
144
3.1.1
P-conservation
144
3.1.2
T-invariance
147
3.1.3
C-invariance
150
3.2
The CPT theorem
153
3.2.1
PT-invariant amplitudes
155
3.3
Causality and unitarity
156
3.3.1
Causality
156
3.3.2
Analytic properties of the Born amplitudes
160
3.3.3
Scattering amplitude as an analytic function
162
Contents ix
3.3.4 Unitarity 164
3.3.5 Born
amplitudes and
unitarity 167
3.3.6
How to restore perturbation theory on the basis of
unitarity and analyticity, or perturbation theory with¬
out Feynman graphs
170
4
Radiative corrections. Renormalization
174
4.1
Higher order corrections to the electron and photon Green
functions
174
4.1.1
Multiloop contributions to the electron Green function
174
4.1.2
Multiloop contributions to the photon Green function
179
4.2
Renormalization of the electron mass and wave function
182
4.3
Renormalization of the photon Green function
187
4.4
Feynman rules for multiloop scattering amplitudes
192
4.5
Renormalization of the vertex part
193
4.6
The generalized Ward identity
199
4.7
Radiative corrections to electron scattering in an external field
202
4.7.1
One-loop polarization operator
204
4.7.2
One-loop vertex part
213
4.8
The Dirac equation in an external field
221
4.8.1
Electron in the field of a supercharged nucleus
230
4.9
Radiative corrections to the energy levels of hydrogen-like
atoms. The Lamb shift
234
5
Difficulties of quantum electrodynamics
241
5.1
Renormalization and divergences
241
5.1.1
Divergences of Feynman diagrams
242
5.1.2
Renormalization
249
5.2
The zero charge problem in quantum electrodynamics
258
References
267
Index
268
|
| adam_txt |
Contents
Foreword
xi
1
Particles and their interactions in relativistic quantum
mechanics
1
1.1
The propagator
1
1.2
The Green function
5
1.2.1
The Green function for a system of particles
7
1.2.2
The momentum representation
8
1.2.3
Virtual particles
12
1.3
The scattering amplitude
13
1.3.1
How to calculate physical
observables
13
1.3.2
Poles in the scattering amplitude and the bound states
16
1.4
The electromagnetic field
17
1.5
Photons in an 'external field'
25
1.5.1
Relativistic propagator
25
1.5.2
Relativistic interaction
27
1.5.3
Relativistic Green function
30
1.5.4
Propagation of vector photons
33
1.6
Free massive relativistic particles
36
1.7
Interactions of spinless particles
38
1.8
Interaction of spinless particles with the electromagnetic field
46
1.9
Examples of the simplest electromagnetic processes
51
1.9.1
Scattering of charged particles
52
1.9.2
The Compton effect (phokMwt-meson scattering)
54
1.10
Diagrams and amplitudes in momentum representation
56
1.10.1
Photon emission amplitude in momentum space
56
1.10.2
Meson-meson scattering via photon exchange
57
1.10.3
Feynman rules
58
vii
viii Contents
1.11
Amplitudes
of physical processes
59
1.11.1
The unitarity condition
61
1.11.2
S-matrix
61
1.11.3
Invariant scattering amplitude
65
1.11.4
Cross section
65
1.11.5 2 -» 2
scattering
67
1.11.6
π~π~
scattering
68
1.11.7
π+π~
scattering
71
1.12
The
Mandelstam
plane
75
1.13
The Compton effect (for
π
-mesons)
80
2
Particles with spin |. Basic quantum electrodynamic
processes
85
2.1
Free particles with spin \
85
2.2
The Green function of the electron
98
2.3
Matrix elements of electron scattering amplitudes
100
2.4
Electron-photon interaction
102
2.5
Electron-electron scattering
105
2.5.1
Connection between spin and statistics
106
2.5.2
Electron charge 111
2.6
The Compton effect
112
2.6.1
Compton scattering at small energies
121
2.6.2
Compton scattering at high energies
123
2.7
Electron-positron annihilation into two photons
125
2.7.1
Annihilation near threshold
128
2.7.2
e+e~ annihilation at very high energies
128
2.8
Electron scattering in an external field
130
2.9
Electron bremsstrahlung in an external field
132
2.9.1
Emission of a soft photon by a low energy electron
133
2.9.2
Soft radiation off a high energy electron
135
2.10
The
Weizsäcker-Williams
formula
137
3
General properties of the scattering amplitude
144
3.1
Symmetries in quantum electrodynamics
144
3.1.1
P-conservation
144
3.1.2
T-invariance
147
3.1.3
C-invariance
150
3.2
The CPT theorem
153
3.2.1
PT-invariant amplitudes
155
3.3
Causality and unitarity
156
3.3.1
Causality
156
3.3.2
Analytic properties of the Born amplitudes
160
3.3.3
Scattering amplitude as an analytic function
162
Contents ix
3.3.4 Unitarity 164
3.3.5 Born
amplitudes and
unitarity 167
3.3.6
How to restore perturbation theory on the basis of
unitarity and analyticity, or perturbation theory with¬
out Feynman graphs
170
4
Radiative corrections. Renormalization
174
4.1
Higher order corrections to the electron and photon Green
functions
174
4.1.1
Multiloop contributions to the electron Green function
174
4.1.2
Multiloop contributions to the photon Green function
179
4.2
Renormalization of the electron mass and wave function
182
4.3
Renormalization of the photon Green function
187
4.4
Feynman rules for multiloop scattering amplitudes
192
4.5
Renormalization of the vertex part
193
4.6
The generalized Ward identity
199
4.7
Radiative corrections to electron scattering in an external field
202
4.7.1
One-loop polarization operator
204
4.7.2
One-loop vertex part
213
4.8
The Dirac equation in an external field
221
4.8.1
Electron in the field of a supercharged nucleus
230
4.9
Radiative corrections to the energy levels of hydrogen-like
atoms. The Lamb shift
234
5
Difficulties of quantum electrodynamics
241
5.1
Renormalization and divergences
241
5.1.1
Divergences of Feynman diagrams
242
5.1.2
Renormalization
249
5.2
The zero charge problem in quantum electrodynamics
258
References
267
Index
268 |
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| index_date | 2024-07-02T20:34:01Z |
| indexdate | 2024-07-09T21:14:30Z |
| institution | BVB |
| isbn | 0521675693 9780521675697 |
| language | English |
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| physical | XI, 270 S. graph. Darst. |
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| publisher | Cambridge Univ. Press |
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| series | Cambridge monographs on particle physics, nuclear physics and cosmology |
| series2 | Cambridge monographs on particle physics, nuclear physics and cosmology |
| spelling | Gribov, Vladimir Naumovich Verfasser aut Quantum electrodynamics Gribov lectures on theoretical physics V. N. Gribov and J. Nyiri digitaly print., 1. paperback version Cambridge [u.a.] Cambridge Univ. Press 2005 XI, 270 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics and cosmology 13 Quantenelektrodynamik (DE-588)4047982-1 gnd rswk-swf Quantenelektrodynamik (DE-588)4047982-1 s DE-604 Nyiri, Julia Verfasser aut Cambridge monographs on particle physics, nuclear physics and cosmology 13 (DE-604)BV005321866 13 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016451368&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gribov, Vladimir Naumovich Nyiri, Julia Quantum electrodynamics Gribov lectures on theoretical physics Cambridge monographs on particle physics, nuclear physics and cosmology Quantenelektrodynamik (DE-588)4047982-1 gnd |
| subject_GND | (DE-588)4047982-1 |
| title | Quantum electrodynamics Gribov lectures on theoretical physics |
| title_auth | Quantum electrodynamics Gribov lectures on theoretical physics |
| title_exact_search | Quantum electrodynamics Gribov lectures on theoretical physics |
| title_exact_search_txtP | Quantum electrodynamics Gribov lectures on theoretical physics |
| title_full | Quantum electrodynamics Gribov lectures on theoretical physics V. N. Gribov and J. Nyiri |
| title_fullStr | Quantum electrodynamics Gribov lectures on theoretical physics V. N. Gribov and J. Nyiri |
| title_full_unstemmed | Quantum electrodynamics Gribov lectures on theoretical physics V. N. Gribov and J. Nyiri |
| title_short | Quantum electrodynamics |
| title_sort | quantum electrodynamics gribov lectures on theoretical physics |
| title_sub | Gribov lectures on theoretical physics |
| topic | Quantenelektrodynamik (DE-588)4047982-1 gnd |
| topic_facet | Quantenelektrodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016451368&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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