Geometry of the fundamental interactions: on Riemann's legacy to high energy physics and cosmology
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2011
|
| Subjects: | |
| Online Access: | Geometry of Gauge fields Inhaltsverzeichnis |
| Physical Description: | IX, 179 S. graph. Darst. |
| ISBN: | 9781441982728 1441982728 |
Staff View
MARC
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| 245 | 1 | 0 | |a Geometry of the fundamental interactions |b on Riemann's legacy to high energy physics and cosmology |c M. D. Maia |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2011 | |
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Record in the Search Index
| _version_ | 1804148493179158528 |
|---|---|
| adam_text | CONTENTS
1 THE FUNDAMENTAL INTERACTIONS
................................. 1
2 THE PHYSICAL MANIFOLD
........................................ 9
2.1 MANIFOLDS
.............................................. 9
2.2 GEOMETRY OF MANIFOLDS
................................... 18
2.3 THE RIEMANN CURVATURE
.................................. 21
3 SYMMETRY
................................................... 25
3.1 GROUPS AND SUBGROUPS
................................... 25
3.2 GROUPS OF TRANSFORMATIONS
................................ 27
3.3 LIE GROUPS
............................................. 29
3.4 LIE ALGEBRAS
............................................ 31
3.4.1 INTHNITESIMAL COORDINATE TRANSFORMATIONS
........... 31
3.4.2 INTHNITESIMAL TRANSFORMATIONS ON VECTOR BUNDLES
..... 33
4 THE ALGEBRA OF OBSERVABLES
................................... 43
4.1 LINEAR FORM FIELDS
...................................... 44
4.2 TENSORS
................................................ 48
4.3 EXTERIOR ALGEBRA
........................................ 50
5 GEOMETRY OF SPACE*TIMES
..................................... 57
5.1 GALILEAN SPACE*TIME
.................................... 57
5.2 NEWTON S SPACE*TIME
................................... 61
5.2.1 THE CURVATURE OF NEWTON S SPACE*TIME
............ 62
5.3 THE MINKOWSKI SPACE*TIME
.............................. 64
5.4 SPACE*TIMES IN GENERAL RELATIVITY
......................... 67
6 SCALAR FIELDS
................................................. 73
6.1 CLASSIC SCALAR FIELDS
..................................... 77
6.2 NON-LINEAR SCALAR FIELDS
.................................. 82
VII
VIII CONTENTS
7 VECTOR, TENSOR, AND SPINOR FIELDS
............................... 89
7.1 VECTOR FIELDS
........................................... 89
7.1.1 THE ELECTROMAGNETIC FIELD
....................... 89
7.1.2 THE MAXWELL TENSOR
............................ 93
7.1.3 THE NIELSEN*OLESEN MODEL
....................... 96
7.2 SPINOR FIELDS
........................................... 100
7.2.1 SPINOR TRANSFORMATIONS
.......................... 104
8 NOETHER S THEOREM
........................................... 107
8.1 NOETHER S THEOREM FOR COORDINATE SYMMETRY
................ 107
8.2 NOETHER S THEOREM FOR GAUGE SYMMETRIES
.................. 114
9 BUNDLES AND CONNECTIONS
..................................... 125
9.1 FIBER BUNDLES
........................................... 125
9.2 BASE MORPHISMS
........................................ 127
9.3 PRINCIPAL FIBER BUNDLES
.................................. 130
9.4 CONNECTIONS
............................................ 132
10 GAUGE FIELDS
................................................. 139
10.1 GAUGE CURVATURE
........................................ 139
10.2 THE U
(
1
)
GAUGE FIELD
................................... 142
10.3 THE SU
(
2
)
GAUGE FIELD
.................................. 146
10.4 THE SU
(
3
)
GAUGE FIELD
.................................. 153
11 GRAVITATION
.................................................. 157
11.1 THE RIEMANN CURVATURE
.................................. 157
11.2 GAUGE GRAVITY
.......................................... 159
11.3 LOOP GRAVITY
........................................... 163
11.4 DEFORMABLE GRAVITY
..................................... 164
11.5 KALUZA*KLEIN GRAVITY
.................................... 169
REFERENCES
........................................................ 171
INDEX
............................................................ 177
|
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| id | DE-604.BV039639223 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:08:00Z |
| institution | BVB |
| isbn | 9781441982728 1441982728 |
| language | English |
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| physical | IX, 179 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
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| spelling | Maia, Marcos Duarte Verfasser (DE-588)1015599818 aut Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology M. D. Maia New York [u.a.] Springer 2011 IX, 179 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantentheorie Field theory (Physics) Geometry Quantum theory Physics Erscheint auch als Online-Ausgabe Maia, Marcos Duarte Geometry of the fundamental interactions http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=4191666&custom_att_2=simple_viewer Verlagsdaten Springer Geometry of Gauge fields SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024489176&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maia, Marcos Duarte Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology Quantentheorie Field theory (Physics) Geometry Quantum theory Physics |
| title | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology |
| title_auth | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology |
| title_exact_search | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology |
| title_full | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology M. D. Maia |
| title_fullStr | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology M. D. Maia |
| title_full_unstemmed | Geometry of the fundamental interactions on Riemann's legacy to high energy physics and cosmology M. D. Maia |
| title_short | Geometry of the fundamental interactions |
| title_sort | geometry of the fundamental interactions on riemann s legacy to high energy physics and cosmology |
| title_sub | on Riemann's legacy to high energy physics and cosmology |
| topic | Quantentheorie Field theory (Physics) Geometry Quantum theory Physics |
| topic_facet | Quantentheorie Field theory (Physics) Geometry Quantum theory Physics |
| url | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=4191666&custom_att_2=simple_viewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024489176&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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