On the gauge structure and covariant gauge fixing of metric-affine gravity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 124 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Gronwald, Frank |d 1968- |e Verfasser |0 (DE-588)115015434 |4 aut | |
| 245 | 1 | 0 | |a On the gauge structure and covariant gauge fixing of metric-affine gravity |c vorgelegt von Frank Gronwald |
| 264 | 1 | |c 1996 | |
| 300 | |a IV, 124 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Köln, Univ., Diss., 1996 | ||
| 650 | 0 | 7 | |a Gravitationstheorie |0 (DE-588)4158117-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eichtheorie |0 (DE-588)4122125-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Affine Gruppe |0 (DE-588)4141568-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
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Datensatz im Suchindex
| _version_ | 1807501799631880192 |
|---|---|
| adam_text |
CONTENTS
EINLEITUNG
UND
ZUSAMMENFASSUNG
1
INTRODUCTION
AND
SUMMARY
4
I
THE
GAUGE
STRUCTURE
OF
METRIC-AFFINE
GRAVITY
7
1
REFERENCE
FRAMES
AND
GAUGE
SYSTEMS
ILLUSTRATED
BY
MEANS
OF
SU(N)
YANG
MILLS
THEORY
7
1.1
GENERAL
REMARKS
.
7
1.2
THE
GAUGING
OF
SU(N)
.
8
1.3
FIELD
STRENGTHS
AND
LAGRANGIAN
.
10
2
GAUGING
THE
AFFINE
GROUP
12
2.1
AFFINE
GEOMETRY
.
12
2.2
AFFINE
FRAMES
AND
PHYSICAL
FIELDS
.
16
2.3
THE
GAUGE
PROCEDURE
.
17
2.4
THE
BREAKING
OF
TRANSLATIONAL
INVARIANCE
.
18
2.5
DIFFEOMORPHISM
INVARIANCE
AND
LIE
DERIVATIVES
.
21
2.6
ANHOLONOMIC
FRAMES
.
22
2.7
INTRODUCING
A
METRIC:
ORTHONORMAL
FRAMES
.
24
3
METRIC-AFFINE
GRAVITY
AS
A
CLASSICAL
FIELD
THEORY
27
3.1
LAGRANGIAN
FORMULATION
.
27
3.2
GENERAL
MODEL
BUILDING
.
28
3.3
FIELD
EQUATIONS
.
32
3.4
NOETHER
IDENTITIES
.
32
3.4.1
TRANSLATION
INVARIANCE
AND
FIRST
NOETHER
IDENTITIES
.
33
3.4.2
GENERAL
LINEAR
INVARIANCE
AND
SECOND
NOETHER
IDENTITIES
.
35
3.5
SUBCASES
OF
MAG
BY
REDUCING
THE
AFFINE
GROUP
.
36
3.5.1
FULL
MAG
.
37
3.5.2
MAG
WITH
RESTRICTED
CONNECTION
.
38
3.5.3
AFFINE-ORTHOGONAL
GRAVITY:
POINCARE
GAUGE
THEORY
.
38
3.5.4
TRANSLATIONAL
GAUGING
.
38
3.5.5
GRAVITY
WITHOUT
GAUGING
.
39
4
PURE
TRANSLATION
INVARIANCE
AND
THE
REDUCTION
FROM
MAG
TO
TELEPAR
ALLELISM
AND
GR
41
4.1
MOTIVATION
.
41
4.2
EINSTEINIAN
TELEPARALLELISM:
TRANSLATION
GAUGE
POTENTIAL
AND
LAGRANGIAN
.
42
4.3
TRANSITION
TO
GR
.
46
5
STRUCTURE
OF
THE
GROUP
OF
GAUGE
TRANSFORMATIONS
IN
MAG
48
5.1
THE
GAUGE
ALGEBRA
OF
A
GENERAL
GAUGE
THEORY
.
48
5.1.1
EXAMPLE:
GAUGE
ALGEBRA
AND
NOETHER
IDENTITY
OF
YANG-MILLS
THEORY
50
5.2
THE
GAUGE
ALGEBRA
OF
MAG
.
52
5.2.1
CASE
1:
TRANSLATIONS
GENERATED
BY
ORDINARY
LIE
DERIVATIVES
.
53
5.2.2
CASE
2:
TRANSLATIONS
GENERATED
BY
COVARIANT
LIE
DERIVATIVES
.
56
5.3
IRREDUCIBLE
AND
REDUCIBLE
GAUGE
THEORIES
.
59
5.3.1
SOME
EXAMPLES
.
59
5.3.2
IRREDUCIBILITY
OF
MAG
.
61
II
II
COVARIANT
GAUGE
FIXING
OF
MAG
62
6
MOTIVATION:
GAUGE
SYSTEMS
AND
THE
TRANSITION
FROM
CLASSICAL
TO
QUAN
TUM
FIELD
THEORY
62
6.1
CLASSICAL
GAUGE
SYSTEMS
AND
GAUGE
FIXING
CONDITIONS
.
62
6.2
CANONICAL
QUANTIZATION
OF
FREE
FIELD
THEORIES
.
63
6.3
INTERACTING
FIELD
THEORIES:
THE
S-MATRIX
AND
GREEN
'
S
FUNCTIONS
.
64
6.4
PATH
INTEGRAL
QUANTIZATION:
THE
GENERATING
FUNCTIONAL
.
66
6.5
PATH
INTEGRAL
QUANTIZATION
AND
FADDEEV-POPOV
TRICK
.
67
6.6
BRST-SYMMETRY
.
69
7
BRST-SYMMETRY
OF
MAG
71
7.1
GEOMETRIC
AND
ALGEBRAIC
CONSTRUCTION
OF
THE
BRST-DIFFERENTIAL
.
71
7.1.1
STATIONARY
SURFACE
AND
GAUGE
INVARIANCE
.
71
7.1.2
OBSERVABLES
.
71
7.1.3
GRADINGS,
DEGREES,
AND
IDEALS
.
72
7.1.4
DERIVATIONS
AND
DIFFERENTIALS
.
73
7.1.5
HOMOLOGIES
.
74
7.1.6
DIFFERENTIAL
MODULO
5
.
75
7.1.7
RESOLUTION
.
76
7.1.8
THE
BRST-DIFFERENTIAL
.
77
7.2
CONSTRUCTION
OF
THE
BRST-OPERATOR
.
78
7.2.1
KOSZUL-TATE
DIFFERENTIAL
AND
ANTIFIELDS
.
78
7.2.2
LONGITUDINAL
EXTERIOR
DERIVATIVE
AND
GHOSTS
.
81
7.2.3
PUTTING
6
K
T
AND
DR
TOGETHER:
THE
BRST-DIFFERENTIAL
.
82
7.2.4
A
NOTE
ON
OPEN
ALGEBRAS
.
87
7.2.5
CLASSICAL
BRST-TRANSFORMATIONS
OF
YANG-MILLS
THEORY
.
88
7.2.6
CLASSICAL
BRST-TRANSFORMATIONS
OF
MAG
(CASE
1)
.
89
III
7.2.7
CLASSICAL
BRST-TRANSFONNATIONS
OF
MAG
(CASE
2)
.
92
8
ANTIFIELD
FORMALISM
AND
MAG
93
8.1
REALIZATION
OF
THE
BRST-DIFFERENTIAL
.
93
8.1.1
THE
ANTIBRACKET
.
93
8.1.2
MASTER
EQUATION
AND
EXTENDED
ACTION
.
94
8.1.3
EXTENDED
ACTION
OF
YANG-MILLS
THEORY
.
96
8.1.4
EXTENDED
ACTION
OF
MAG
(CASE
1)
.
97
8.1.5
EXTENDED
ACTION
OF
MAG
(CASE
2)
.
97
8.1.6
SOME
COMMENTS
AND
REMARKS
.
98
8.2
ELIMINATION
OF
THE
ANTIFIELDS:
GAUGE
FIXING
.
100
8.2.1
GAUGE
INVARIANCES
OF
S
AND
GAUGE-FIXING
FERMION
.
100
8.2.2
GAUGE
FIXING
OF
YANG-MILLS
THEORY
.
103
8.2.3
GAUGE
FIXING
OF
THE
BOSONIC
STRING
AS
A
SPECIAL
CASE
OF
MAG
.
.
.
104
8.2.4
GAUGE
FIXING
OF
TWO-DIMENSIONAL
MAG
(CASE
1)
.
108
8.2.5
GAUGE
FIXING
OF
TWO-DIMENSIONAL
MAG
(CASE
2)
.
112
A
FORMAL
STRUCTURE
OF
A
GAUGE
THEORY
114
FIBRE
BUNDLES
.
114
CONNECTION
AND
CURVATURE
ON
A
FIBRE
BUNDLE
.
115
GAUGE
THEORETICAL
NOMENCLATURE
.
117
REFERENCES
118
IV |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV011332528 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T00:27:22Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007614289 |
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| physical | IV, 124 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| spelling | Gronwald, Frank 1968- Verfasser (DE-588)115015434 aut On the gauge structure and covariant gauge fixing of metric-affine gravity vorgelegt von Frank Gronwald 1996 IV, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Köln, Univ., Diss., 1996 Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Eichtheorie (DE-588)4122125-4 gnd rswk-swf Affine Gruppe (DE-588)4141568-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gravitationstheorie (DE-588)4158117-9 s Eichtheorie (DE-588)4122125-4 s Affine Gruppe (DE-588)4141568-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614289&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gronwald, Frank 1968- On the gauge structure and covariant gauge fixing of metric-affine gravity Gravitationstheorie (DE-588)4158117-9 gnd Eichtheorie (DE-588)4122125-4 gnd Affine Gruppe (DE-588)4141568-1 gnd |
| subject_GND | (DE-588)4158117-9 (DE-588)4122125-4 (DE-588)4141568-1 (DE-588)4113937-9 |
| title | On the gauge structure and covariant gauge fixing of metric-affine gravity |
| title_auth | On the gauge structure and covariant gauge fixing of metric-affine gravity |
| title_exact_search | On the gauge structure and covariant gauge fixing of metric-affine gravity |
| title_full | On the gauge structure and covariant gauge fixing of metric-affine gravity vorgelegt von Frank Gronwald |
| title_fullStr | On the gauge structure and covariant gauge fixing of metric-affine gravity vorgelegt von Frank Gronwald |
| title_full_unstemmed | On the gauge structure and covariant gauge fixing of metric-affine gravity vorgelegt von Frank Gronwald |
| title_short | On the gauge structure and covariant gauge fixing of metric-affine gravity |
| title_sort | on the gauge structure and covariant gauge fixing of metric affine gravity |
| topic | Gravitationstheorie (DE-588)4158117-9 gnd Eichtheorie (DE-588)4122125-4 gnd Affine Gruppe (DE-588)4141568-1 gnd |
| topic_facet | Gravitationstheorie Eichtheorie Affine Gruppe Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614289&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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