Classical theory of gauge fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | X, 444 S. Ill., graph. Darst. |
| ISBN: | 0691059276 |
Internformat
MARC
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| 100 | 1 | |a Rubakov, Valerij A. |d 1955-2022 |e Verfasser |0 (DE-588)128387408 |4 aut | |
| 240 | 1 | 0 | |a Klassičeskie kalibrovočnye polja |
| 245 | 1 | 0 | |a Classical theory of gauge fields |c Valery Rubakov |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2002 | |
| 300 | |a X, 444 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 4 | |a Gauge fields (Physics) | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-009758717 | ||
Datensatz im Suchindex
| _version_ | 1804129119963709440 |
|---|---|
| adam_text | Contents
Preface ix
Part I 1
1 Gauge Principle in Electrodynamics 3
1.1 Electromagnetic field action in vacuum 3
1.2 Gauge invariance 5
1.3 General solution of Maxwell s equations in vacuum 6
1.4 Choice of gauge 8
2 Scalar and Vector Fields 11
2.1 System of units h = c=l 11
2.2 Scalar field action 12
2.3 Massive vector field 15
2.4 Complex scalar field 17
2.5 Degrees of freedom 18
2.6 Interaction of fields with external sources 19
2.7 Interacting fields. Gauge invariant interaction in scalar
electrodynamics 21
2.8 Noether s theorem 26
3 Elements of the Theory of Lie Groups and Algebras 33
3.1 Groups 33
3.2 Lie groups and algebras 41
3.3 Representations of Lie groups and Lie algebras 48
3.4 Compact Lie groups and algebras 53
4 Non Abelian Gauge Fields 57
4.1 Non Abelian global symmetries 57
4.2 Non Abelian gauge invariance and gauge fields: the group
SU(2) 63
4.3 Generalization to other groups 69
vi
4.4 Field equations 75
4.5 Cauchy problem and gauge conditions 81
5 Spontaneous Breaking of Global Symmetry 85
5.1 Spontaneous breaking of discrete symmetry 86
5.2 Spontaneous breaking of global £7(1) symmetry. Nambu
Goldstone bosons 91
5.3 Partial symmetry breaking: the 50(3) model 94
5.4 General case. Goldstone s theorem 99
6 Higgs Mechanism 105
6.1 Example of an Abelian model 105
6.2 Non Abelian case: model with complete breaking of SU(2)
symmetry 112
6.3 Example of partial breaking of gauge symmetry: bosonic
sector of standard electroweak theory 116
Supplementary Problems for Part I 127
Part II 135
7 The Simplest Topological Solitons 137
7.1 Kink 138
7.2 Scale transformations and theorems on the absence of
solitons 149
7.3 The vortex 155
7.4 Soliton in a model of n field in (2 + l) dimensional
space time 165
8 Elements of Homotopy Theory 173
8.1 Homotopy of mappings 173
8.2 The fundamental group 176
8.3 Homotopy groups 179
8.4 Fiber bundles and homotopy groups 184
8.5 Summary of the results 189
9 Magnetic Monopoles 193
9.1 The soliton in a model with gauge group SU{2) 193
9.2 Magnetic charge 200
9.3 Generalization to other models 207
9.4 The limit mH/mv » 0 208
9.5 Dyons 212
vii
10 Non Topological Solitons 215
11 Tunneling and Euclidean Classical Solutions in
Quantum Mechanics 225
11.1 Decay of a metastable state in quantum mechanics of one
variable 226
11.2 Generalization to the case of many variables 232
11.3 Tunneling in potentials with classical degeneracy 240
12 Decay of a False Vacuum in Scalar Field Theory 249
12.1 Preliminary considerations 249
12.2 Decay probability: Euclidean bubble (bounce) 253
12.3 Thin wall approximation 259
13 Instantons and Sphalerons in Gauge Theories 263
13.1 Euclidean gauge theories 263
13.2 Instantons in Yang Mills theory 265
13.3 Classical vacua and # vacua 272
13.4 Sphalerons in four dimensional models with the Higgs
mechanism 280
Supplementary Problems for Part II 287
Part III 293
14 Fermions in Background Fields 295
14.1 Free Dirac equation 295
14.2 Solutions of the free Dirac equation. Dirac sea 302
14.3 Fermions in background bosonic fields 308
14.4 Fermionic sector of the Standard Model 318
15 Fermions and Topological External Fields in
Two dimensional Models 329
15.1 Charge fractionalization 329
15.2 Level crossing and non conservation of fermion quantum
numbers 336
16 Fermions in Background Fields of Solitons and Strings
in Four Dimensional Space Time 351
16.1 Fermions in a monopole background field: integer angular
momentum and fermion number fractionalization 352
viii
16.2 Scattering of fermions off a monopole: non conservation of
fermion numbers 359
16.3 Zero modes in a background field of a vortex:
superconducting strings 364
17 Non Conservation of Fermion Quantum Numbers in
Four dimensional Non Abelian Theories 373
17.1 Level crossing and Euclidean fermion zero modes 374
17.2 Fermion zero mode in an instanton field 378
17.3 Selection rules 385
17.4 Electroweak non conservation of baryon and lepton numbers
at high temperatures 392
Supplementary Problems for Part III 397
Appendix. Classical Solutions and the Functional Integral 403
A.I Decay of the false vacuum in the functional integral
formalism 404
A.2 Instanton contributions to the fermion Green s functions . . 411
A.3 Instantons in theories with the Higgs mechanism.
Integration along valleys 418
A.4 Growing instanton cross sections 423
Bibliography 429
Index 441
|
| any_adam_object | 1 |
| author | Rubakov, Valerij A. 1955-2022 |
| author_GND | (DE-588)128387408 |
| author_facet | Rubakov, Valerij A. 1955-2022 |
| author_role | aut |
| author_sort | Rubakov, Valerij A. 1955-2022 |
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| building | Verbundindex |
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| callnumber-first | Q - Science |
| callnumber-label | QC793 |
| callnumber-raw | QC793.3.G38 |
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| callnumber-sort | QC 3793.3 G38 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 UO 4060 |
| ctrlnum | (OCoLC)48931234 (DE-599)BVBBV014234977 |
| dewey-full | 530.14/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/35 |
| dewey-search | 530.14/35 |
| dewey-sort | 3530.14 235 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV014234977 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:00:05Z |
| institution | BVB |
| isbn | 0691059276 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009758717 |
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| owner_facet | DE-20 DE-19 DE-BY-UBM DE-83 DE-11 DE-384 |
| physical | X, 444 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| spelling | Rubakov, Valerij A. 1955-2022 Verfasser (DE-588)128387408 aut Klassičeskie kalibrovočnye polja Classical theory of gauge fields Valery Rubakov Princeton [u.a.] Princeton Univ. Press 2002 X, 444 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Russ. übers. Gauge fields (Physics) Eichtheorie (DE-588)4122125-4 gnd rswk-swf Eichtheorie (DE-588)4122125-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009758717&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rubakov, Valerij A. 1955-2022 Classical theory of gauge fields Gauge fields (Physics) Eichtheorie (DE-588)4122125-4 gnd |
| subject_GND | (DE-588)4122125-4 |
| title | Classical theory of gauge fields |
| title_alt | Klassičeskie kalibrovočnye polja |
| title_auth | Classical theory of gauge fields |
| title_exact_search | Classical theory of gauge fields |
| title_full | Classical theory of gauge fields Valery Rubakov |
| title_fullStr | Classical theory of gauge fields Valery Rubakov |
| title_full_unstemmed | Classical theory of gauge fields Valery Rubakov |
| title_short | Classical theory of gauge fields |
| title_sort | classical theory of gauge fields |
| topic | Gauge fields (Physics) Eichtheorie (DE-588)4122125-4 gnd |
| topic_facet | Gauge fields (Physics) Eichtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009758717&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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