Quantum field theory
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
2010
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| Ausgabe: | 2. ed. |
| Schriftenreihe: | A Wiley-Interscience publication
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| 008 | 031105s2010 xx d||| |||| 00||| eng d | ||
| 020 | |a 9780471496830 |9 978-0-471-49683-0 | ||
| 020 | |z 9780471496847 |9 978-0-471-49684-7 | ||
| 035 | |a (OCoLC)460050759 | ||
| 035 | |a (DE-599)BVBBV017627302 | ||
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| 100 | 1 | |a Mandl, Franz |d 1923-2009 |e Verfasser |0 (DE-588)116728175 |4 aut | |
| 245 | 1 | 0 | |a Quantum field theory |c Franz Mandl and Graham Shaw |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 2010 | |
| 300 | |a XII, 478 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a A Wiley-Interscience publication | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Shaw, Graham |d 1942- |e Verfasser |0 (DE-588)13653189X |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010602620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010602620 | |
Datensatz im Suchindex
| _version_ | 1819643558138740736 |
|---|---|
| adam_text | Contents
Preface
xi
Notes xiii
1 Photons
and the Electromagnetic Field
1
1.1
Particles and Fields
1
1.2
The Electromagnetic Field in the Absence of Charges
2
1.2.1
The classical field
2
1.2.2
Harmonic oscillator
5
1.2.3
The quantized radiation field
7
1.3
The Electric
Dipole
Interaction
9
1.4
The Electromagnetic Field in the Presence of Charges
14
1.4.1
Classical electrodynamics
14
1.4.2
Quantum electrodynamics
16
1.4.3
Radiative transitions in atoms
17
1.4.4
Thomson scattering
18
1.5
Appendix: The
Schrödinger, Heisenberg
and Interaction Pictures
20
Problems
22
2
Lagrangian Field Theory
25
2.1
Relativistic Notation
26
2.2
Classical Lagrangian Field Theory
27
2.3
Quantized Lagrangian Field Theory
30
2.4
Symmetries and Conservation Laws
31
Problems
37
3
The Klein-Gordon Field
39
3.1
The Real Klein-Gordon Field
39
3.2
The Complex Klein-Gordon Field
43
3.3
Covariant Commutation Relations
46
3.4
The Meson Propagator
48
Problems
53
The Dirac Field 5S
4.1
The Number Representation for
Fermions
55
4.2
The Dirac Equation
57
4.3
Second Quantization
61
4.3.1
The spin-statistics theorem
65
4.4
The Fermion Propagator
66
4.5
The Electromagnetic Interaction and Gauge
Invariance
70
Problems
71
Photons: Covariant Theory
73
5.1
The Classical Fields
73
5.2
Covariant Quantization
77
5.3
The Photon Propagator
81
Problems
84
The S-Matrix Expansion
87
6.1
Natural Dimensions and Units
88
6.2
The S-Matrix Expansion
90
6.3
Wick s Theorem
94
Feynman Diagrams and Rules in QED
99
7.1
Feynman Diagrams in Configuration Space
100
7.2
Feynman Diagrams in Momentum Space
110
7.2.1
The first-order terms
5a*
112
7.2.2
Compton scattering
113
7.2.3
Electron-electron scattering
116
7.2.4
Closed loops
117
7.3
Feynman Rules for QED
118
7.4
Leptons
121
Problems
124
i QED
Processes in Lowest Order
127
8.1
The Cross-Section
128
8.2
Spin Sums
131
8.3
Photon Polarization Sums
133
8.4
Lepton
Pair Production in
(ел е
)
Collisions
135
8.5
Bhabha Scattering
139
8.6
Compton Scattering
142
8.7
Scattering by an External Field
147
8.8 Bremsstrahlung 153
8.9
The Infrared Divergence
155
Problems
158
9
Radiative Corrections
161
9.1
The Second-Order Radiative Corrections of QED
162
9.2
The Photon Self-Energy
167
9.3
The Electron
Self-Energy
172
9.4
External Line Renormalization
176
9.5
The Vertex Modification
178
9.6
Applications
183
9.6.1
The anomalous magnetic moments
183
9.6.2
The Lamb shift
187
9.7
The Infrared Divergence
191
9.8
Higher-Order Radiative Corrections
193
9.9
Renormalizability
198
Problems
200
10
Regularization
203
10.1
Mathematical Preliminaries
204
10.1.1
Some standard integrals
204
10.1.2
Feynman parameterization
205
10.2
Cut-Off Regularization: The Electron Mass Shift
206
10.3
Dimensional Regularization
208
10.3.1
Introduction
208
10.3.2
General results
210
10.4
Vacuum Polarization
211
10.5
The Anomalous Magnetic Moment
214
Problems
217
11
Gauge Theories
219
11.1
The Simplest Gauge Theory: QED
220
11.2
Quantum Chromodynamics
222
11.2.1
Colour and confinement
222
11.2.2
Global phase
invariance
and colour conservation
225
11.2.3
SU(3) gauge
invariance
227
11.2.4
Quantum chromodynamics
229
11.3
Alternative Interactions?
230
11.3.1
Non-minimal interactions
230
11.3.2
Renormalizability
233
11.4
Appendix: Two Gauge Transformation Results
235
11.4.1
The transformation law
( 11
.26b)
236
11.4.2
The SU(3) gauge
invariance
of Eq.
(11.34) 237
Problems
238
12
Field Theory Methods
241
12.1
Green Functions
241
12.2
Feynman Diagrams and Feynman Rules
246
12.2.1
The perturbation expansion
246
12.2.2
The vacuum amplitude
248
12.2.3
The photon propagator
249
12.2.4
Connected Green functions
252
12.3 Relation
to
S-Matrix Elements 254
12.3.1 Crossing 255
12.4 Functionals and Grassmann
Fields
256
12.4.1 Functionals 257
12.4.2 Grassmann
algebras and
Grassmann
fields
259
12.5
The Generating Functional
263
12.5.1
The free-field case
267
12.5.2
The perturbation expansion
270
Problems
272
13
Path Integrals
275
13.1
Functional Integration
275
13.1.1
Classical fields
276
13.1.2 Grassmann
generators
281
13.1.3 Grassmann
fields
283
13.2
Path Integrals
285
13.2.1
The generating functional
286
13.2.2
Free and interacting fields
287
13.2.3
The free electromagnetic field
289
13.2.4
The free spinor fields
291
13.3
Perturbation Theory
292
13.3.1
Wick s theorem
292
13.3.2
Interactions
294
13.4
Gauge Independent Quantization?
297
Problems
298
14
Quantum Chromody
namies
299
14.1
Gluon Fields
299
14.1.1
The generating functional
300
14.1.2
A mathematical analogy
301
14.1.3
The Faddeev-Popov Method
303
14.1.4
Gauge fixing and ghosts
304
14.1.5
The electromagnetic field revisited
306
14.2
Including Quarks
307
14.2.1
The QCD Lagrangian
307
14.2.2
The generating functional
309
14.2.3
Free fields
310
14.3
Perturbation Theory
3
1
2
14.3.1
Wick s theorem and propagators
312
14.3.2
The perturbation expansion
313
14.3.3
The vertex factors
313
14.4
Feynman Rules for QCD
318
14.5
Renormalizability of QCD
321
Problems
323
15
Asymptotic Freedom
325
15.1
Electron-Positron Annihilation
325
15.1.1
Two-jet events
326
15.1.2
Three-jet events
328
15.2
The Renormalization Scheme
330
15.2.1
The electron propagator
331
15.2.2
The photon propagator
333
15.2.3
Charge renormalization
335
15.3
The Renormalization Group
336
15.3.1
The renormalization group equations
337
15.3.2
Scale transformations
339
15.3.3
The running charge
341
15.4
The Strong Coupling Constant
343
15.4.1
Colour factors
344
15.4.2
Null diagrams
345
15.4.3
Renormalization of the coupling constant
346
15.4.4
The running coupling
351
15.5
Applications
352
15.6
Appendix: Some Loop Diagrams in QCD
357
15.6.1
The gluon self-energy graphs
357
15.6.2
The quark-gluon vertex corrections
360
Problems
362
16
Weak Interactions
363
16.1
Introduction
363
16.2
Leptonic Weak Interactions
365
16.3
The Free Vector Boson Field
369
16.4
The Feynman Rules for the IVB Theory
371
16.5
Decay Rates
372
16.6
Applications of the IVB Theory
373
16.6.1
Muon decay
373
16.6.2
Neutrino scattering
379
16.6.3
The leptonic decay of the
W
boson
380
16.7
Neutrino Masses
381
16.7.1
Neutrino oscillations
381
16.7.2
Dirac or
Majorana
neutrinos?
383
16.8
Difficulties with the IVB Theory
385
Problems
387
17
A Gauge Theory of Weak Interactions
389
17.1
QED Revisited
389
17.2
Global Phase Transformations and Conserved
Weak Currents
391
17.3
The Gauge-Invariant Electroweak Interaction
395
17.4
Properties of the Gauge Bosons
399
17.5
Lepton
and Gauge Boson Masses
401
18
Spontaneous Symmetry Breaking
403
18.1
The
Goldstone
Model
404
18.2
The Higgs Model
408
18.3
The Standard Electroweak Theory
412
19
The Standard Electroweak Theory
419
19.1
The Lagrangian Density in the Unitary Gauge
420
19.2
Feynman Rules
424
19.3
Elastic Neutrino-Electron Scattering
432
19.4
Electron-Positron Annihilation
435
19.5
The Higgs Boson
442
19.5.1
Higgs boson decays
444
19.5.2
Higgs boson searches
446
Problems
448
451
451
453
453
455
456
456
458
460
462
Appendix
В
Feynman Rules and Formulae for Perturbation Theory
463
Index
473
Appendix
A The Dirac Equation
A.I
The Dirac Equation
A.2
Contraction Identities
A.3
Traces
A.4
Plane Wave Solutions
A.5
Energy Projection Operators
A.6
Helicity
and Spin Projection Operators
A.7
Relativistic Properties
A.8
Particular Representations of the ^-Matrices
Problems
|
| any_adam_object | 1 |
| author | Mandl, Franz 1923-2009 Shaw, Graham 1942- |
| author_GND | (DE-588)116728175 (DE-588)13653189X |
| author_facet | Mandl, Franz 1923-2009 Shaw, Graham 1942- |
| author_role | aut aut |
| author_sort | Mandl, Franz 1923-2009 |
| author_variant | f m fm g s gs |
| building | Verbundindex |
| bvnumber | BV017627302 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.45 |
| callnumber-search | QC174.45 |
| callnumber-sort | QC 3174.45 |
| callnumber-subject | QC - Physics |
| classification_rvk | UO 4000 |
| ctrlnum | (OCoLC)460050759 (DE-599)BVBBV017627302 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| 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 |
| edition | 2. ed. |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV017627302 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T16:24:50Z |
| institution | BVB |
| isbn | 9780471496830 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010602620 |
| oclc_num | 460050759 |
| open_access_boolean | |
| owner | DE-20 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-20 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-11 |
| physical | XII, 478 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication |
| spellingShingle | Mandl, Franz 1923-2009 Shaw, Graham 1942- Quantum field theory Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4123623-3 |
| title | Quantum field theory |
| title_auth | Quantum field theory |
| title_exact_search | Quantum field theory |
| title_full | Quantum field theory Franz Mandl and Graham Shaw |
| title_fullStr | Quantum field theory Franz Mandl and Graham Shaw |
| title_full_unstemmed | Quantum field theory Franz Mandl and Graham Shaw |
| title_short | Quantum field theory |
| title_sort | quantum field theory |
| topic | Quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Quantum field theory Quantenfeldtheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010602620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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