Gauge theory and variational principles:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Mineola, New York
Dover Publications
2005
|
| Edition: | This Dover edition, first published in 2005, is an unabridged republication of the work originally published by Addison-Wesley, in 1981 as part of the Global analysis series... a new errata section.. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiv, 181 Seiten Illustrationen, Diagramme |
| ISBN: | 0486445461 9780486445465 |
Staff View
MARC
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| 100 | 1 | |a Bleecker, David |d 1948- |e Verfasser |0 (DE-588)1017094063 |4 aut | |
| 245 | 1 | 0 | |a Gauge theory and variational principles |c David Bleecker, Department of Mathematics, University ob Hawaii |
| 250 | |a This Dover edition, first published in 2005, is an unabridged republication of the work originally published by Addison-Wesley, in 1981 as part of the Global analysis series... a new errata section.. | ||
| 264 | 1 | |a Mineola, New York |b Dover Publications |c 2005 | |
| 264 | 4 | |c © 1981 | |
| 300 | |a xiv, 181 Seiten |b Illustrationen, Diagramme | ||
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| 650 | 4 | |a Variational principles | |
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Record in the Search Index
| _version_ | 1804140870032687104 |
|---|---|
| adam_text | Contents
Preface
........................................ ix
Chapter
0.
Preliminaries
...........................1
O.I. Multilinear Algebra and Forms
...............2
0.2.
Manifolds and Tensor Analysis
...............6
0.3.
Lie Groups and Lie Algebras
................18
Chapter
1.
Principat
Fiber Bundles and Connections
23
1.1.
Principal Fiber Bundles
....................26
1.2.
Connections
...........................29
Chapter
2.
Curvature and 3-Valued Differential Forms
34
2.1.
Graded Lie Algebra of ^-Valued Forms
........35
2.2.
Curvature
.............................37
Vi
CONTENTS
Chapter
3.
Particle Fields, Lagrangians, Gauge
Invariance
...........................
3.1.
Particle Fields
..........................43
3.2.
Gauge Transformations
...................46
3.3.
Lagrangians and Gauge
Invariance
............50
Chapter
4. Lagrange
s
Equation for Particle Fields
......54
4.1.
The Principle of Least Action
...............55
4.2.
Some Machinery
........................56
4.3.
Lagrange s Equation
......................60
Chapter
5.
The Inhomogeneous Field Equation
........64
5.1.
The Current
............................65
5.2.
Inhomogeneous Field Equation
..............68
Chapter
6.
Free Dirac Electron Fields
................71
6.1.
Covering the
Lorentz
Group
................73
6.2.
The Levi-Cevita Connection
................77
6.3.
Spin Structures and the Lagrangian
...........81
6.4.
Dirac s Equation
........................84
Chapter
7.
Interactions
...........................89
7.1.
Bundle Splicing
.........................90
7.2.
The (Nonfree) Dirac Electron Field
...........95
7.3.
The
Nucleón
in a Yang-Mills Potential
........99
Chapter
8.
Calculus on Frame Bundle
...............106
8.1.
Tensor Fields on L{M)
...................107
8.2.
Pseudo-
Riemannian Geometry
..............109
8.3.
Metric Variations
.......................116
CONTENTS
vii
Chapter
9.
Unification of Gauge Fields and
Gravitation
...........................120
9.1.
Gradients of Metric-Dependent Functional
....122
9.2.
Conservation Laws from External Symmetry
.... 127
9.3.
The Einstein-Yang-Mills Action Principle
.....133
Chapter
10.
Additional Topics
......................141
10.1.
Geodesies and Forces on Classical Particles
.....141
10.2.
Utiyama s Theorem
.....................147
10.3.
Spontaneous Symmetry Breaking
............154
10.4.
Characteristic Classes,
Monopoles,
and
Instantons
............................161
References
.....................................171
Selected Bibliography
.............................173
Index of Notation
................................175
Index
.........................................177
Errata
........................................181
|
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| callnumber-first | Q - Science |
| callnumber-label | QC793 |
| callnumber-raw | QC793.3.G38 |
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| callnumber-subject | QC - Physics |
| classification_rvk | UO 4060 SK 370 |
| ctrlnum | (OCoLC)60835675 (DE-599)BVBBV035893790 |
| 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 |
| edition | This Dover edition, first published in 2005, is an unabridged republication of the work originally published by Addison-Wesley, in 1981 as part of the Global analysis series... a new errata section.. |
| format | Book |
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| id | DE-604.BV035893790 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:50Z |
| institution | BVB |
| isbn | 0486445461 9780486445465 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018751247 |
| oclc_num | 60835675 |
| open_access_boolean | |
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| owner_facet | DE-19 DE-BY-UBM DE-11 DE-20 DE-355 DE-BY-UBR |
| physical | xiv, 181 Seiten Illustrationen, Diagramme |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Dover Publications |
| record_format | marc |
| spelling | Bleecker, David 1948- Verfasser (DE-588)1017094063 aut Gauge theory and variational principles David Bleecker, Department of Mathematics, University ob Hawaii This Dover edition, first published in 2005, is an unabridged republication of the work originally published by Addison-Wesley, in 1981 as part of the Global analysis series... a new errata section.. Mineola, New York Dover Publications 2005 © 1981 xiv, 181 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Gauge fields (Physics) Variational principles Variationsprinzip (DE-588)4062354-3 gnd rswk-swf Eichtheorie (DE-588)4122125-4 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Eichtheorie (DE-588)4122125-4 s DE-604 Variationsprinzip (DE-588)4062354-3 s Variationsrechnung (DE-588)4062355-5 s Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018751247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bleecker, David 1948- Gauge theory and variational principles Gauge fields (Physics) Variational principles Variationsprinzip (DE-588)4062354-3 gnd Eichtheorie (DE-588)4122125-4 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4062354-3 (DE-588)4122125-4 (DE-588)4062355-5 |
| title | Gauge theory and variational principles |
| title_auth | Gauge theory and variational principles |
| title_exact_search | Gauge theory and variational principles |
| title_full | Gauge theory and variational principles David Bleecker, Department of Mathematics, University ob Hawaii |
| title_fullStr | Gauge theory and variational principles David Bleecker, Department of Mathematics, University ob Hawaii |
| title_full_unstemmed | Gauge theory and variational principles David Bleecker, Department of Mathematics, University ob Hawaii |
| title_short | Gauge theory and variational principles |
| title_sort | gauge theory and variational principles |
| topic | Gauge fields (Physics) Variational principles Variationsprinzip (DE-588)4062354-3 gnd Eichtheorie (DE-588)4122125-4 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Gauge fields (Physics) Variational principles Variationsprinzip Eichtheorie Variationsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018751247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bleeckerdavid gaugetheoryandvariationalprinciples |