Quantum field theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Edition: | Second edition, 10th printing |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XVIII, 487 Seiten Illustrationen |
| ISBN: | 9780521478144 0521478146 9780521472425 0521472423 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quantum field theory |c Lewis H. Ryder, University of Kent at Canterbury |
| 250 | |a Second edition, 10th printing | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2010 | |
| 300 | |a XVIII, 487 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
| _version_ | 1804143342768881664 |
|---|---|
| adam_text | Contents
Preface
to the first edition
xvii
Preface to the second edition
xix
1
Introduction: synopsis of particle physics
1
1.1
Quantum field theory
1
1.2
Gravitation
2
1.3
Strong interactions
3
1.4
Weak interactions
4
1.5
Leptonic quantum numbers
5
1.6
Hadronic quantum numbers
7
1.7
Resonances
8
1.8
The quark model
9
1.9
5t/(2), 5t/(3), SU(4),
... 12
1.10
Dynamical evidence for quarks
15
1.11
Colour
18
1.12
QCD
22
1.13
Weak interactions
23
Guide to further reading
24
2
Single-particle relativistic wave equations
25
2.1
Relativistic notation
25
2.2
Klein-Gordon equation
27
2.3
Dirac equation
29
SU(2) and the rotation group
30
SL(2, C) and the
Lorentz
group
36
2.4
Prediction of antiparticles
42
2.5
Construction of Dirac spinors: algebra of
y
matrices
46
2.6
Non-relativistic limit and the electron magnetic moment
52
2.7
The relevance of the
Poincaré
group: spin operators and the zero
mass limit
55
2.8
Maxwell and
Proca
equations
64
2.9
Maxwell s equations and differential geometry
69
Summary
77
Guide to further reading
77
xii Contents
3 Lagrangian
formulation,
symmetries and gauge fields
79
3.1
Lagrangian formulation of particle mechanics
80
3.2
The real scalar field: variational principle and Noether s theorem
81
3.3
Complex scalar fields and the electromagnetic field
90
3.4
Topology and the vacuum: the Bohm-Aharonov effect
98
3.5
The Yang-Mills field
105
3.6
The geometry of gauge fields
112
Summary
124
Guide to further reading
125
4
Canonical quantisation and particle interpretation
126
4.1
The real Klein-Gordon field
126
4.2
The complex Klein-Gordon field
135
4.3
The Dirac field
137
4.4
The electromagnetic field
140
Radiation gauge quantisation
142
Lorentz
gauge quantisation
145
4.5
The massive vector field
150
Summary
152
Guide to further reading
153
5
Path integrals and quantum mechanics
154
5.1
Path-integral formulation of quantum mechanics
154
5.2
Perturbation theory and the
5
matrix
161
5.3
Coulomb scattering
170
5.4
Functional calculus: differentiation
172
5.5
Further properties of path integrals
174
Appendix: some useful integrals
179
Summary
181
Guide to further reading
181
б
Path-integral quantisation and Feynman rules:
scalar and spinor fields
182
6.1
Generating functional for scalar fields
182
6.2
Functional integration
186
6.3
Free particle Green s functions
189
6.4
Generating functionals for interacting fields
196
Contents xiii
6.5
φ4
theory
200
Generating functional
200
2-point function
202
4-point function
204
6.6
Generating functional for connected diagrams
207
6.7
Fermions
and functional methods
210
6.8
The
S
matrix and reduction formula
217
6.9
Pion-nucleon scattering amplitude
224
6.10
Scattering cross section
232
Summary
238
Guide to further reading
239
7
Path-integral quantisation: gauge fields
240
7.1
Propagators and gauge conditions in QED
240
Photon propagator
-
canonical formalism
240
Photon propagator
-
path-integral method
242
Gauge-fixing terms
242
Propagator for transverse photons
243
7.2
Non-Abelian gauge fields and the Faddeev-Popov method
245
Feynman rules in the
Lorentz
gauge
250
Gauge-field propagator in the axial gauge
254
7.3
Self-energy operator and vertex function
255
Geometrical interpretation of the Legendre transformation
260
Thermodynamic analogy
262
7.4
Ward-Takahashi identities in QED
263
7.5
Becchi-Rouet-Stora transformation
270
7.6
Slavnov-Taylor identities
273
7.7
A note on ghosts and unitarity
276
Summary
280
Guide to further reading
281
8
Spontaneous symmetry breaking and the Weinberg-Salam model
282
8.1
What is the vacuum?
282
8.2
The
Goldstone
theorem
287
8.3
Spontaneous breaking of gauge symmetries
293
8.4
Superconductivity
296
8.5
The Weinberg-Salam model
298
Summary
306
Guide to further reading
307
xiv
Contents
9
Renormalisation
308
9.1
Divergences in
φ4
theory
308
Dimensional analysis
311
9.2
Dimensional
régularisation
of
φ4
theory
313
Loop expansion
317
9.3
Renormalisation
of
φ4
theory
318
Counter-terms
321
9.4
Renormalisation
group
324
9.5
Divergences and dimensional
régularisation
of QED
329
9.6
1-loop renormalisation of QED
337
Anomalous magnetic moment of the electron
343
Asymptotic behaviour
345
9.7
Renormalisability of QED
347
9.8
Asymptotic freedom of Yang-Mills theories
353
9.9
Renormalisation of pure Yang-Mills theories
362
9.10
Chiral anomalies
366
Cancellation of anomalies
373
9.11
Renormalisation of Yang-Mills theories with spontaneous
symmetry breakdown
375
t Hooft s gauges
375
The effective potential
377
Loop expansion of the effective potential
380
Appendix A: integration in
d
dimensions
382
Appendix B: the gamma function
385
Summary
387
Guide to further reading
388
10
Topological objects in field theory
390
10.1
The sine-Gordon kink
391
10.2
Vortex lines
395
10.3
The Dirac
monopole
402
10.4
The
t Hooft-Polyakov monopole
406
10.5
Instantons
414
Quantum tunnelling,
Ö-vacua
and symmetry breaking
420
Summary
424
Guide to further reading
424
11
Supersymmetry
426
11.1
Introduction
426
11.2
Lorentz
transformations: Dirac, Weyl and
Majorana
spinors
427
Some further relations
436
Contents xv
11.3 Simple Lagrangian
model
440
Digression:
Fierz
rearrangement formula
444
11.4 Simple Lagrangian
model (cont.):
closure of commutation
relations
446
Mass term
450
11.5
Towards
a super-Poincaré
algebra
452
11.6
Superspace
459
11.7
Superfields
464
Chiral superfield
467
11.8
Recovery of the Wess-Zumino model
470
Appendix: some 2-spinor conventions
473
Summary
475
Guide to further reading
475
References
476
Index
482
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/2 |
| dewey-search | 530.1/2 |
| dewey-sort | 3530.1 12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | Second edition, 10th printing |
| format | Book |
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| isbn | 9780521478144 0521478146 9780521472425 0521472423 |
| language | English |
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| spelling | Ryder, Lewis H. 1941- Verfasser (DE-588)141504676 aut Quantum field theory Lewis H. Ryder, University of Kent at Canterbury Second edition, 10th printing Cambridge Cambridge University Press 2010 XVIII, 487 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020620790&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 |
| spellingShingle | Ryder, Lewis H. 1941- 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 Lewis H. Ryder, University of Kent at Canterbury |
| title_fullStr | Quantum field theory Lewis H. Ryder, University of Kent at Canterbury |
| title_full_unstemmed | Quantum field theory Lewis H. Ryder, University of Kent at Canterbury |
| title_short | Quantum field theory |
| title_sort | quantum field theory |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Quantenfeldtheorie Lehrbuch |
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