Modern quantum field theory: a concise introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 271 S. graph. Darst. |
| ISBN: | 9780521850827 0521850827 |
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MARC
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| 100 | 1 | |a Banks, Tom |d 1949- |e Verfasser |0 (DE-588)137339518 |4 aut | |
| 245 | 1 | 0 | |a Modern quantum field theory |b a concise introduction |c Tom Banks |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
| 300 | |a VII, 271 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1
Introduction page
1
1.1
Preface
and conventions
1
1.2
Why quantum field theory?
3
2
Quantum theory of free scalar fields
8
2.1
Local fields
10
2.2
Problems for Chapter
2 13
3
Interacting field theory
17
3.1
Schwinger-Dyson equations and functional integrals
17
3.2
Functional integral solution of the SD equations
20
3.3
Perturbation theory
24
3.4
Connected and
l-P(article) I(rreducible)
Green functions
26
3.5
Legendre
s
trees
28
3.6
The
Källen-Lehmann
spectral representation
30
3.7
The scattering matrix and the LSZ formula
32
3.8
Problems for Chapter
3 36
4
Particles of spin
1,
and gauge
invariance
38
4.
1 Massive spinning particles
38
4.2
Massless particles with
helicity
39
4.3
Field theory for massive spin-1 particles
40
4.4
Problems for Chapter
4 43
5
Spin-1 particles and Fermi statistics
44
5.1
Dirac,
Majorana,
and Weyl fields: discrete symmetries
49
5.2
The functional formalism for fermion fields
56
5.3
Feynman rules for Dirac
fermions
58
5.4
Problems for Chapter
5 59
6
Massive quantum electrodynamics
62
6.1
Free the longitudinal gauge bosons!
64
6.2
Heavy-fermion production in electron-positron annihilation
65
6.3
Interaction with heavy
fermions:
particle paths and
external fields
68
vi
Contents
6.4
The magnetic moment of a weakly coupled charged particle
69
6.5
Problems for Chapter
6 74
7
Symmetries, Ward identities, and Nambu-Goldstone bosons
76
7.1
Space-time symmetries
78
7.2
Spontaneously broken symmetries
81
7.3
Nambu-Goldstone bosons in the semi-classical expansion
84
7.4
Low-energy effective field theory of Nambu-Goldstone bosons
85
7.5
Problems for Chapter
7 89
8
Non-abelian gauge theory
93
8.1
The non-abelian Higgs phenomenon
96
8.2
BRST
symmetry
97
8.3
A brief history of the physics of non-abelian gauge theory
99
8.4
The Higgs model, duality, and the phases of gauge theory
101
8.5
Confinement of
monopoles
in the Higgs phase
103
8.6
The electro-weak sector of the standard model
113
8.7
Symmetries and symmetry breaking in the strong interactions
116
8.8
Anomalies
118
8.9
Quantization of gauge theories in the Higgs phase
130
8.10
Problems for Chapter
8 132
9
Renormalization and effective field theory
137
9.1
Divergences in Feynman graphs
139
9.2
Cut-offs
142
9.3
Renormalization and critical phenomena
145
9.4
The renormalization (semi-)group in field theory
148
9.5
Mathematical (Lorentz-invariant, unitary) quantum field theory
154
9.6
Renormalization of
φ4
field theory
156
9.7
Renormalization-group equations in dimensional regularization
161
9.8
Renormalization of QED at one loop
164
9.9
Renormalization-group equations in QED
173
9.10
Why is QED IR-free?
178
9.11
Coupling renormalization in non-abelian gauge theory
181
9.12
Renormalization-group equations for masses and the hierarchy
problem
188
9.13
Renormalization-group equations for the S-matrix
191
9.14
Renormalization and symmetry I93
9.15
The standard model through the lens of renormalization
201
9.16
Problems for Chapter
9 203
10
instantons
and solitons
206
10.1
The most probable escape path
206
10.2
Instantons
in quantum mechanics
207
vii
Contents
10.3
Instantons and solitons
in field theory
213
10.4
Instantons
in the two-dimensional Higgs model
216
10.5 Monopole
instantons
in three-dimensional Higgs models
221
10.6
Yang-Mills mstantons
226
10.7
Solitons
232
10.8
t Hooft-Polyakov
monopoles
236
10.9
Problems for Chapter
10 239
11
Concluding remarks
242
Appendix A Books
245
Appendix
В
Cross sections
247
Appendix
C Diracology
248
Appendix
D
Feynman rules
25
1
Appendix
E
Group theory and Lie algebras
256
Appendix
F
Everything else
260
References
262
Author index
268
Subject index
269
|
| adam_txt |
Contents
1
Introduction page
1
1.1
Preface
and conventions
1
1.2
Why quantum field theory?
3
2
Quantum theory of free scalar fields
8
2.1
Local fields
10
2.2
Problems for Chapter
2 13
3
Interacting field theory
17
3.1
Schwinger-Dyson equations and functional integrals
17
3.2
Functional integral solution of the SD equations
20
3.3
Perturbation theory
24
3.4
Connected and
l-P(article) I(rreducible)
Green functions
26
3.5
Legendre
s
trees
28
3.6
The
Källen-Lehmann
spectral representation
30
3.7
The scattering matrix and the LSZ formula
32
3.8
Problems for Chapter
3 36
4
Particles of spin
1,
and gauge
invariance
38
4.
1 Massive spinning particles
38
4.2
Massless particles with
helicity
39
4.3
Field theory for massive spin-1 particles
40
4.4
Problems for Chapter
4 43
5
Spin-1 particles and Fermi statistics
44
5.1
Dirac,
Majorana,
and Weyl fields: discrete symmetries
49
5.2
The functional formalism for fermion fields
56
5.3
Feynman rules for Dirac
fermions
58
5.4
Problems for Chapter
5 59
6
Massive quantum electrodynamics
62
6.1
Free the longitudinal gauge bosons!
64
6.2
Heavy-fermion production in electron-positron annihilation
65
6.3
Interaction with heavy
fermions:
particle paths and
external fields
68
vi
Contents
6.4
The magnetic moment of a weakly coupled charged particle
69
6.5
Problems for Chapter
6 74
7
Symmetries, Ward identities, and Nambu-Goldstone bosons
76
7.1
Space-time symmetries
78
7.2
Spontaneously broken symmetries
81
7.3
Nambu-Goldstone bosons in the semi-classical expansion
84
7.4
Low-energy effective field theory of Nambu-Goldstone bosons
85
7.5
Problems for Chapter
7 89
8
Non-abelian gauge theory
93
8.1
The non-abelian Higgs phenomenon
96
8.2
BRST
symmetry
97
8.3
A brief history of the physics of non-abelian gauge theory
99
8.4
The Higgs model, duality, and the phases of gauge theory
101
8.5
Confinement of
monopoles
in the Higgs phase
103
8.6
The electro-weak sector of the standard model
113
8.7
Symmetries and symmetry breaking in the strong interactions
116
8.8
Anomalies
118
8.9
Quantization of gauge theories in the Higgs phase
130
8.10
Problems for Chapter
8 132
9
Renormalization and effective field theory
137
9.1
Divergences in Feynman graphs
139
9.2
Cut-offs
142
9.3
Renormalization and critical phenomena
145
9.4
The renormalization (semi-)group in field theory
148
9.5
Mathematical (Lorentz-invariant, unitary) quantum field theory
154
9.6
Renormalization of
φ4
field theory
156
9.7
Renormalization-group equations in dimensional regularization
161
9.8
Renormalization of QED at one loop
164
9.9
Renormalization-group equations in QED
173
9.10
Why is QED IR-free?
178
9.11
Coupling renormalization in non-abelian gauge theory
181
9.12
Renormalization-group equations for masses and the hierarchy
problem
188
9.13
Renormalization-group equations for the S-matrix
191
9.14
Renormalization and symmetry I93
9.15
The standard model through the lens of renormalization
201
9.16
Problems for Chapter
9 203
10
instantons
and solitons
206
10.1
The most probable escape path
206
10.2
Instantons
in quantum mechanics
207
vii
Contents
10.3
Instantons and solitons
in field theory
213
10.4
Instantons
in the two-dimensional Higgs model
216
10.5 Monopole
instantons
in three-dimensional Higgs models
221
10.6
Yang-Mills mstantons
226
10.7
Solitons
232
10.8
't Hooft-Polyakov
monopoles
236
10.9
Problems for Chapter
10 239
11
Concluding remarks
242
Appendix A Books
245
Appendix
В
Cross sections
247
Appendix
C Diracology
248
Appendix
D
Feynman rules
25
1
Appendix
E
Group theory and Lie algebras
256
Appendix
F
Everything else
260
References
262
Author index
268
Subject index
269 |
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| index_date | 2024-07-02T21:31:42Z |
| indexdate | 2024-07-09T21:18:19Z |
| institution | BVB |
| isbn | 9780521850827 0521850827 |
| language | English |
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| spelling | Banks, Tom 1949- Verfasser (DE-588)137339518 aut Modern quantum field theory a concise introduction Tom Banks 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2008 VII, 271 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Champs, Théorie des (physique) - Manuels d'enseignement supérieur ram Champs, Théorie quantique des ram Champs, Théorie quantique relativiste des ram Théorie quantique des champs Quantum field theory Quantum field theory / Problems, exercises, etc Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf (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=016605564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Banks, Tom 1949- Modern quantum field theory a concise introduction Champs, Théorie des (physique) - Manuels d'enseignement supérieur ram Champs, Théorie quantique des ram Champs, Théorie quantique relativiste des ram Théorie quantique des champs Quantum field theory Quantum field theory / Problems, exercises, etc Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4123623-3 |
| title | Modern quantum field theory a concise introduction |
| title_auth | Modern quantum field theory a concise introduction |
| title_exact_search | Modern quantum field theory a concise introduction |
| title_exact_search_txtP | Modern quantum field theory a concise introduction |
| title_full | Modern quantum field theory a concise introduction Tom Banks |
| title_fullStr | Modern quantum field theory a concise introduction Tom Banks |
| title_full_unstemmed | Modern quantum field theory a concise introduction Tom Banks |
| title_short | Modern quantum field theory |
| title_sort | modern quantum field theory a concise introduction |
| title_sub | a concise introduction |
| topic | Champs, Théorie des (physique) - Manuels d'enseignement supérieur ram Champs, Théorie quantique des ram Champs, Théorie quantique relativiste des ram Théorie quantique des champs Quantum field theory Quantum field theory / Problems, exercises, etc Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Champs, Théorie des (physique) - Manuels d'enseignement supérieur Champs, Théorie quantique des Champs, Théorie quantique relativiste des Théorie quantique des champs Quantum field theory Quantum field theory / Problems, exercises, etc Quantenfeldtheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016605564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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