Knots and quantum gravity:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1994
|
| Schriftenreihe: | Oxford lecture series in mathematics and its applications
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 229 S. graph. Darst. |
| ISBN: | 0198534906 |
Internformat
MARC
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| 245 | 1 | 0 | |a Knots and quantum gravity |c ed. by John C. Baez |
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Datensatz im Suchindex
| _version_ | 1804124273472700416 |
|---|---|
| adam_text | Contents
The Loop Formulation of Gauge Theory and Gravity 1
Renate Loll
1 Introduction 1
2 Yang Mills theory and general relativity as dynamics on
connection space 1
3 Introducing loops! 6
4 Equivalence between the connection and loop formula¬
tions 8
5 Some lattice results on loops 11
6 Quantization in the loop approach 13
Representation Theory of Analytic Holonomy
C* algebras 21
Abhay Ashtekar and Jerzy Lewandowski
1 Introduction 21
2 Preliminaries 26
3 The spectrum 30
4 Integration on A/Q 39
5 Discussion 49
Appendix A: C1 loops and U(l) connections 51
Appendix B: C loops, U(N) and SU(N) connections 56
The Gauss Linking Number in Quantum Gravity 63
Rodolfo Gambini and Jorge Pullin
1 Introduction 63
2 The Wheeler DeWitt equation in terms of loops 67
3 The Gauss (self ) linking number as a solution 71
4 Discussion 73
Vassiliev Invariants and the Loop States in Quantum
Gravity 77
Louis H. Kauffman
1 Introduction 77
2 Quantum mechanics and topology 78
3 Links and the Wilson loop 78
4 Graph invariants and Vassiliev invariants 87
5 Vassiliev invariants from the functional integral 89
6 Quantum gravity—loop states 92
xi
xii Contents
Geometric Structures and Loop Variables in (2+1)
Dimensional Gravity 97
Steven Carlip
1 Introduction 97
2 Prom geometry to holonomies 98
3 Geometric structures: from holonomies to geometry 104
4 Quantization and geometrical observables 107
Prom Chern Simons to WZW via Path Integrals 113
Dana S. Fine
1 Introduction 113
2 The main result 114
3 A/Gn as a bundle over Q.2G 115
4 An explicit reduction from Chern Simons to WZW 118
Topological Field Theory as the Key to Quantum
Gravity 121
Louis Crane
1 Introduction 121
2 Quantum mechanics of the universe. Categorical physics 123
3 Ideas from TQFT 125
4 Hilbert space is dead—long live Hilbert space
or the observer gas approximation 128
5 The problem of time 129
6 Matter and symmetry 130
Strings, Loops, Knots, and Gauge Fields 133
John C. Baez
1 Introduction 133
2 String field/gauge field duality 136
3 Yang Mills theory in 2 dimensions 142
4 Quantum gravity in 3 dimensions 153
5 Quantum gravity in 4 dimensions 158
BF Theories and 2 knots 169
Paolo Cotta Ramusino and Maurizio Martellini
1 Introduction 169
2 BF theories and their geometrical significance 170
3 2 knots and their quantum observables 175
4 Gauss constraints 177
5 Path integrals and the Alexander invariant of a 2 knot 180
6 First order perturbative calculations and higher dimensional
linking numbers 181
7 Wilson channels 182
Contents xiii
8 Integration by parts 184
Knotted Surfaces, Braid Movies, and Beyond 191
J. Scott Carter and Masahico Saito
1 Introduction 191
2 Movies, surface braids, charts, and isotopies 192
3 The permutohedral and tetrahedral equations 204
4 2 categories and the movie moves 214
5 Algebraic interpretations of braid movie moves 218
|
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| genre_facet | Konferenzschrift 1994 Riverside Calif. |
| id | DE-604.BV009910008 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:43:03Z |
| institution | BVB |
| isbn | 0198534906 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006564305 |
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| physical | XIII, 229 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Clarendon Press |
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| series | Oxford lecture series in mathematics and its applications |
| series2 | Oxford lecture series in mathematics and its applications Oxford science publications |
| spelling | Knots and quantum gravity ed. by John C. Baez Oxford Clarendon Press 1994 XIII, 229 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford lecture series in mathematics and its applications 1 Oxford science publications Champs de jauge (Physique) - Congrès ram Gravité quantique - Congrès ram Knopentheorie gtt Kwantumgravitatie gtt Noeuds, théorie des - Congrès ram Gauge fields (Physics) Knot theory Quantum gravity Quantengravitation (DE-588)4124012-1 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1994 Riverside Calif. gnd-content Quantengravitation (DE-588)4124012-1 s Knotentheorie (DE-588)4164318-5 s DE-604 Gravitationstheorie (DE-588)4158117-9 s Baez, John C. 1961- Sonstige (DE-588)138491178 oth Oxford lecture series in mathematics and its applications 1 (DE-604)BV009910017 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006564305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Knots and quantum gravity Oxford lecture series in mathematics and its applications Champs de jauge (Physique) - Congrès ram Gravité quantique - Congrès ram Knopentheorie gtt Kwantumgravitatie gtt Noeuds, théorie des - Congrès ram Gauge fields (Physics) Knot theory Quantum gravity Quantengravitation (DE-588)4124012-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd Knotentheorie (DE-588)4164318-5 gnd |
| subject_GND | (DE-588)4124012-1 (DE-588)4158117-9 (DE-588)4164318-5 (DE-588)1071861417 |
| title | Knots and quantum gravity |
| title_auth | Knots and quantum gravity |
| title_exact_search | Knots and quantum gravity |
| title_full | Knots and quantum gravity ed. by John C. Baez |
| title_fullStr | Knots and quantum gravity ed. by John C. Baez |
| title_full_unstemmed | Knots and quantum gravity ed. by John C. Baez |
| title_short | Knots and quantum gravity |
| title_sort | knots and quantum gravity |
| topic | Champs de jauge (Physique) - Congrès ram Gravité quantique - Congrès ram Knopentheorie gtt Kwantumgravitatie gtt Noeuds, théorie des - Congrès ram Gauge fields (Physics) Knot theory Quantum gravity Quantengravitation (DE-588)4124012-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Champs de jauge (Physique) - Congrès Gravité quantique - Congrès Knopentheorie Kwantumgravitatie Noeuds, théorie des - Congrès Gauge fields (Physics) Knot theory Quantum gravity Quantengravitation Gravitationstheorie Knotentheorie Konferenzschrift 1994 Riverside Calif. |
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