Quantum gravity in four dimensions: canonical quantization and dynamical triangulations
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Enth. 20 Sonderabdr. aus verschiedenen Zeitschr.. - Potsdam, Univ., Habil.-Schr., 1996 |
| Physical Description: | 199 S. in getr. Zählung graph. Darst. |
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CONTENTS
1 INTRODUCTION
1.1 ACKNOWLEDGEMENTS
2
CANONICAL QUANTUM GRAVITY AND THE LOOP REPRESENTATION
2.1 WHAT WE MEAN BY CANONICAL QUANTUM GRAVITY.
2.2 OUTLINE .
2.3 HISTORY OF LOOPS.
2.3.1 LOOPS IN THE WORK OF FARADAY AND GAUSS.
2.3.2 KNOT THEORY . . .'
2.3.3 GAUGE THEORY .
2.4 QUANTUM GRAVITY.
2.4.1 BEFORE 1984.
2.4.2 AFTER 1984.
2.5 LOOP REPRESENTATION OF CANONICAL QUANTUM GRAVITY.
2.5.1 ALGEBRAIC QUANTIZATION .
2.5.2 LOOP VARIABLES.
2.5.3 CONSTRAINTS FROM LOOP VARIABLES.
2.5.4 CONSTRAINT OPERATORS .
2.5.5 ANALYTIC KNOT INVARIANTS .
2.5.6 KNOT INVARIANTS AS SOLUTIONS TO THE CONSTRAINTS.
2.6 DISCUSSION.
2.6.1 SIMPLE LOOP REPRESENTATIONS.
2.6.2 STATUS OF THE LOOP REPRESENTATIONS FOR QUANTUM GRAVITY
2.7 CONCLUSION .
REFERENCES.
4
. 4
. 5
. 6
. 6
. 7
. 10
. 12
. 12
. 12
. 15
. 15
. 17
. 19
. 21
. 22
. 24
. 26
. 26
. 27
. 29
. 29
3
MONTE CARLO SIMULATIONS OF 4D SIMPLICIAL QUANTUM GRAVITY
3.1 INTRODUCTION.
3.2 SIMPLICIAL QUANTUM GRAVITY IN FOUR DIMENSIONS.
3.2.1 THE MODEL .
3.2.2 MONTE CARLO SIMULATIONS OF THE MODEL.
3.2.3 BASIC RESULTS.
3.3 IS THE PARTITION FUNCTION WELL-DEFINED? .
3.4 IS THERE A MEASURE AMBIGUITY?.
3.5 CONCLUSION .
REFERENCES.
34
. 34
. 35
. 35
. 36
. 38
. 38
. 44
. 46
. 47
4 MAIN RESULTS
49
5 BIBLIOGRAPHY
51
6 APPENDIX: TEN PAPERS
53
1
BIBLIOGRAFISCHE INFORMATIONEN
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| indexdate | 2024-10-09T16:10:02Z |
| institution | BVB |
| language | German |
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| spelling | Brügmann, Bernd 1962- Verfasser (DE-588)12311571X aut Quantum gravity in four dimensions canonical quantization and dynamical triangulations vorgelegt von Bernd Brügmann 1996 199 S. in getr. Zählung graph. Darst. txt rdacontent n rdamedia nc rdacarrier Enth. 20 Sonderabdr. aus verschiedenen Zeitschr.. - Potsdam, Univ., Habil.-Schr., 1996 Potsdam, Univ., Habil.-Schr. Quantengravitation (DE-588)4124012-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantengravitation (DE-588)4124012-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brügmann, Bernd 1962- Quantum gravity in four dimensions canonical quantization and dynamical triangulations Quantengravitation (DE-588)4124012-1 gnd |
| subject_GND | (DE-588)4124012-1 (DE-588)4113937-9 |
| title | Quantum gravity in four dimensions canonical quantization and dynamical triangulations |
| title_auth | Quantum gravity in four dimensions canonical quantization and dynamical triangulations |
| title_exact_search | Quantum gravity in four dimensions canonical quantization and dynamical triangulations |
| title_full | Quantum gravity in four dimensions canonical quantization and dynamical triangulations vorgelegt von Bernd Brügmann |
| title_fullStr | Quantum gravity in four dimensions canonical quantization and dynamical triangulations vorgelegt von Bernd Brügmann |
| title_full_unstemmed | Quantum gravity in four dimensions canonical quantization and dynamical triangulations vorgelegt von Bernd Brügmann |
| title_short | Quantum gravity in four dimensions |
| title_sort | quantum gravity in four dimensions canonical quantization and dynamical triangulations |
| title_sub | canonical quantization and dynamical triangulations |
| topic | Quantengravitation (DE-588)4124012-1 gnd |
| topic_facet | Quantengravitation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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