A first book of quantum field theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford, U.K.
Alpha Science International
2007
|
| Ausgabe: | 2. ed., 2. reprint |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes index |
| Beschreibung: | XVII, 380 S. graph. Darst. |
| ISBN: | 9781842652497 |
Internformat
MARC
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| 003 | DE-604 | ||
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| 007 | t | ||
| 008 | 090928s2007 d||| |||| 00||| eng d | ||
| 020 | |a 9781842652497 |9 978-1-84265-249-7 | ||
| 035 | |a (OCoLC)254581588 | ||
| 035 | |a (DE-599)HBZHT014997908 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 050 | 0 | |a QC174.45 | |
| 082 | 0 | |a 530.14/3 | |
| 084 | |a UO 4000 |0 (DE-625)146237: |2 rvk | ||
| 100 | 1 | |a Lahiri, Amitabha |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A first book of quantum field theory |c Amitabha Lahiri ; Palash B. Pal |
| 250 | |a 2. ed., 2. reprint | ||
| 264 | 1 | |a Oxford, U.K. |b Alpha Science International |c 2007 | |
| 300 | |a XVII, 380 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes index | ||
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Pal, Palash B. |d 1955- |e Verfasser |0 (DE-588)13127290X |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018603461 | |
Datensatz im Suchindex
| _version_ | 1815423617671888896 |
|---|---|
| adam_text |
Contents
Preface
to the second edition
v
Preface to the first edition
vii
Notations
xi
1
Preliminaries
1
1.1
Why Quantum Field Theory
. 1
1.2
Creation and annihilation operators
. 3
1.3
Special relativity
. 5
1.4
Space and time in relativistic quantum theory
. 8
1.5
Natural units
. 9
2
Classical Field Theory
12
2.1
A quick review of particle mechanics
. 12
2.1.1
Action principle and Euler-Lagrange equations
. 12
2.1.2
Hamiltonian formalism and
Poisson
brackets
. 14
2.2
Euler-Lagrange equations in field theory
. 15
2.2.1
Action functional and Lagrangian
. 15
2.2.2
Euler-Lagrange equations
. 17
2.3
Hamiltonian formalism
. 19
2.4
Noether's theorem
. 21
S
Quantization of scalar fields
28
3.1
Equation of motion
. 28
3.2
The field and its canonical quantization
. 29
3.3
Fourier decomposition of the field
. 30
3.4
Ground state of the Hamiltonian and normal ordering
. 34
3.5
Fock space
. 36
3.6
Complex scalar field
. 37
3.6.1
Creation and annihilation operators
. 37
3.6.2
Particles and antiparticles
. 39
3.6.3
Ground state and Hamiltonian
. 40
3.7
Propagator
. 41
ХШ
xiv Contents
4
Quantization of Dirac fields
47
4.1
Dirac Hamiltonian
. 47
4.2
Dirac equation
. 51
4.3
Plane wave solutions of Dirac equation
. 54
4.3.1
Positive and negative energy spinors
. 54
4.3.2
Explicit solutions in Dirac-Pauli representation
. 56
4.4
Projection operators
. 59
4.4.1
Projection operators for positive and negative energy
states
. 59
4.4.2
Helicity
projection operators
. 60
4.4.3
Chirality projection operators
. 61
4.4.4
Spin projection operators
. 62
4.5
Lagrangian for a Dirac field
. 63
4.6
Fourier decomposition of the field
. 65
4.7
Propagator
. 69
5
The S-matrix expansion
72
5.1
Examples of interactions
. 73
5.2
Evolution operator
. 75
5.3
S-matrix
. 80
5.4
Wick's theorem
. 82
6
Prom Wick expansion to Feynman diagrams
87
6.1
Yukawa interaction
:
decay of a scalar
. 87
6.2
Normalized states
. · . 94
6.3
Sample calculation of a matrix element
. 97
6.4
Another example: fermion scattering
. 101
6.5
Feynman amplitude
. 105
6.6
Feynman rules
. 106
6.7
Virtual particles
. 110
6.8
Amplitudes which are not S-matrix elements
. 112
7
Cross sections and decay rates
115
7.1
Decay rate
. 115
7.2
Examples of decay rate calculation
. 117
7.2.1
Decay of a scalar into a fermion-antifermion pair
. . 117
7.2.2
Muon decay with 4-fermion interaction
. 122
7.3
Scattering cross section
. 130
7.4
Generalities of
2-ÍO-2
scattering
. 133
7.4.1
CM frame
. 135
7.4.2
Lab frame
. 137
7.5
Inelastic scattering with 4-fermion interaction
. 140
7.5.1
Cross-section in CM frame
. 142
7.5.2
Cross-section in Lab frame
. 143
7.6
Mandelstam
variables
. 144
Contents xv
8
Quantization of the electromagnetic field
146
8.1
Classical theory of electromagnetic fields
. 146
8.2
Problems with quantization
. 149
8.3
Modifying the classical Lagrangian
. 150
8.4
Propagator
. 153
8.5
Fourier decomposition of the field
. 156
8.6
Physical states
. 158
8.7
Another look at the propagator
. 162
8.8
Feynman rules for photons
. 164
9
Quantum electrodynamics
166
9.1
Local gauge
invariance
. 166
9.2
Interaction Hamiltonian
. 170
9.3
Lowest order processes
. 172
9.4
Electron-electron scattering
. 174
9.5
Electron-positron scattering
. 180
9.6
e-e*
-»
μ~μ+
. 182
9.7
Consequence of gauge
invariance
. 184
9.8
Compton scattering
. 185
9.9
Scattering by an external field
. 194
9.10 Bremsstrahlung. 197
10
P, T, C
and their combinations
200
10.1
Motivations from classical physics
. 200
10.2
Parity
. 201
10.2.1
Free scalar fields
. 201
10.2.2
Free Dirac field
. 202
10.2.3
Free photon field
. 204
10.2.4
Interacting fields
. 205
10.3
Charge conjugation
. 207
10.3.1
Free fields
. 207
10.3.2
Interactions
. 211
10.4
Time reversal
. 212
10.4.1
Antilinearity
. 212
10.4.2
Free fields
. 213
10.4.3
Interactions
. 216
10.5
CP
. 217
10.6
CPT
.■. 218
11
Electromagnetic form factors
222
11.1
General electromagnetic vertex
. 222
11.2
Physical interpretation of form factors
. 224
11.2.1
Charge form factor
Fi
. 224
11.2.2
Anomalous magnetic moment Fa
. 228
11.2.3
Electric
dipole
moment F2
. 228
xvi
Contents
11.2.4 Anapole
moment F3
. 229
11.3
Anomalous magnetic moment of the electron
. 230
11.4
Charge form factor
. 239
11.5
Electron-proton scattering
. 241
12
Renormalization
245
12.1
Degree of divergence of a diagram
. 245
12.1.1
Superficial degree of divergence
. 245
12.1.2
Superficial vs. real degree of divergence
. 248
12.2
Specific examples in QED
. 250
12.3
Outline of the program
. 252
12.4
Ward-Takahashi identity
. 253
12.5
General forms for divergent amplitudes
. 256
12.5.1
Fermion self-energy
. 256
12.5.2
Vacuum polarization
. 257
12.5.3
Vertex function^
. 259
12.6
Regularization of self-energy diagrams
. 260
12.6.1
Vacuum polarization diagram
. 260
12.6.2
Fermion self-energy diagram
. 265
12.7
Counterterms
. 267
12.7.1
Vacuum polarization diagram
. 267
12.7.2
Fermion self-energy diagram
. 270
12.7.3
Vertex function
. 272
12.8
Full Lagrangian
. 273
12.9
Observable effects of renormalization
. 275
12.9.1
Modification of Coulomb interaction
. 275
12.9.2
Running coupling constant
. 276
12.9.3
Cancellation of infra-red divergences
. 279
13
Symmetries and symmetry breaking
283
13.1
Classification of symmetries
. 283
13.2
Groups and symmetries
. 284
13.2.1
Symmetry group
. 284
13.2.2
Examples of continuous symmetry groups
. 286
13.2.3
Generators of continuous groups
. 289
13.2.4
Representations
. 292
13.3
Approximate symmetries
. 293
13.4
Spontaneous breaking of symmetries
. 294
13.4.1
Discrete symmetry
. 295
13.4.2
U(l) symmetry
. . 299
13.4.3
Non-Abelian symmetry
. . . . 300
13.5
Goldstone's theorem
. 301
13.5.1
Appearance of masskss states
. . . . 301
13.5.2
Examples of Nambu-Goldstone bosons
. . 303
Contents xvii
13.5.3
Interaction
of
Goldstone
bosons
. 305
13.6
Higgs mechanism
. 308
1Ą
Yang-Mills theory of non-Abelian gauge fields
312
14.1
Gauge fields of non-Abelian symmetry
. 312
14.2
Pure gauge Lagrangian
. 315
14.3
Interactions of non-Abelian gauge fields
. 318
14.3.1
Gauge interactions of other particles
. 318
14.3.2
Self-interactions of gauge bosons
. 319
14.4
Equations of motion and conserved currents
. 321
14.5
Quantization of non-Abelian gauge fields
. 322
14.6
Quantum Chromodynamics
. 323
15
Standard electroweak theory
326
15.1
Gauge group
. 326
15.1.1
Choice of gauge group
. 326
15.1.2
Pure gauge Lagrangian
. 328
15.2
Spontaneous symmetry breaking
. 330
15.2.1
Introducing the Higgs boson
multiplet
.: . . 330
15.2.2
Gauge boson masses
. 332
15.2.3
Scalar modes
. 333
15.3
Fermions
in the theory
. 335
15.3.1
Gauge interactions
. 335
15.3.2
Electron mass
. 338
15.3.3
Yukawa couplings
. 339
15.3.4
Other
fermions
in the model
. 340
15.4
Gauge boson decay
. 342
15.5
Scattering processes
. 346
15.5.1
Forward-backward asymmetry
. 346
15.5.2
Low energy weak interactions
. 349
15.5.3
High energy scattering
. 351
15.6
Propagator for unstable particles
. 355
15.7
Global symmetries of the model
. 356
A Useful formulas
358
A.1 Representation of 7-matrices
. 358
A.2 Traces of 7-matrices
. 360
A.3 The antisymmetric tensor
. 363
A.4 Useful integration formulas
. 364
A.4.1 Angular integrations in iV-dimensional space
. 364
A.4.2 Momentum integration in loops
. 366
В
Answers to selected exercises
368
Index
371 |
| any_adam_object | 1 |
| author | Lahiri, Amitabha Pal, Palash B. 1955- |
| author_GND | (DE-588)13127290X |
| author_facet | Lahiri, Amitabha Pal, Palash B. 1955- |
| author_role | aut aut |
| author_sort | Lahiri, Amitabha |
| author_variant | a l al p b p pb pbp |
| building | Verbundindex |
| bvnumber | BV035743273 |
| 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)254581588 (DE-599)HBZHT014997908 |
| 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., 2. reprint |
| format | Book |
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| id | DE-604.BV035743273 |
| illustrated | Illustrated |
| indexdate | 2024-11-11T11:01:17Z |
| institution | BVB |
| isbn | 9781842652497 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018603461 |
| oclc_num | 254581588 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XVII, 380 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Alpha Science International |
| record_format | marc |
| spelling | Lahiri, Amitabha Verfasser aut A first book of quantum field theory Amitabha Lahiri ; Palash B. Pal 2. ed., 2. reprint Oxford, U.K. Alpha Science International 2007 XVII, 380 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes index Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Pal, Palash B. 1955- Verfasser (DE-588)13127290X aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lahiri, Amitabha Pal, Palash B. 1955- A first book of quantum field theory Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 |
| title | A first book of quantum field theory |
| title_auth | A first book of quantum field theory |
| title_exact_search | A first book of quantum field theory |
| title_full | A first book of quantum field theory Amitabha Lahiri ; Palash B. Pal |
| title_fullStr | A first book of quantum field theory Amitabha Lahiri ; Palash B. Pal |
| title_full_unstemmed | A first book of quantum field theory Amitabha Lahiri ; Palash B. Pal |
| title_short | A first book of quantum field theory |
| title_sort | a first book of quantum field theory |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Quantenfeldtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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