Mathematische Formulierung der Quanten-Einstein-Gleichungen:
Gespeichert in:
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2000
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Text engl. - Enth. 12 Sonderpublikationen aus verschiedenen Schriftenreihen. - Potsdam, Univ., Habil.-Schr., 2000 |
| Beschreibung: | 333 S. in getr. Zählung 30 cm |
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Datensatz im Suchindex
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CONTENTS
INTRODUCTION 5
I PRELIMINARIES 9
1.1 THE HAMILTONIAN FORMULATION OF GENERAL RELATIVITY . 11
1.2 THE PROGRAMME OF CANONICAL QUANTIZATION. 14
1.2.1 THE GENERAL PROGRAMME. 14
1.2.2 APPLICATION TO GENERAL RELATIVITY IN THE ADM FORMALISM. 17
1.3 THE NEW CANONICAL VARIABLES OF ASHTEKAR FOR GENERAL RELATIVITY. 20
1.4 LOOPS AS SMEARING FIELDS FOR STOCHASTIC PROCESSES . 23
1.5 THE KINEMATICAL FRAMEWORK OF ASHTEKAR-ISHAM-LEWANDOWSKI FOR QUANTUM
GAUGE THEORIES 25
1.5.1 ASHTEKAR-ISHAM QUANTUM CONFIGURATION SPACE. 26
1.5.2 KINEMATICAL MEASURE ON
A
. 27
1.6 SUMMARY OF PART I. 29
II DESCRIPTION OF SELECTED RESEARCH PAPERS 31
II. 1 OSTERWALDER-SCHRADER-AXIOMS FOR QUANTUM GAUGE FIELD THEORIES. 33
11.2 CANONICAL QUANTIZATION OF GENERAL DIFFEOMORPHISM INVARIANT QUANTUM
GAUGE FIELD THEORIES 36
11.3 BARGMANN-SEGAL-TRANSFORMS FOR QUANTUM GAUGE FIELD THEORIES . 39
11.4 WICK ROTATION TRANSFORMS FOR QUANTUM GAUGE FIELD THEORIES . 42
11.4.1 THE GENERAL SCHEME. 42
11.4.2 WICK TRANSFORM FOR QUANTUM GRAVITY. 44
11.5 MATHEMATICAL DEFINITION OF THE WHEELER-DEWITT CONSTRAINT OPERATOR
IN PURE LORENTZIAN
FOUR-DIMENSIONAL QUANTUM GENERAL RELATIVITY. 46
11.5.1 THE NEW TECHNIQUE : MAIN IDEA. 47
11.5.2 THE NEW TECHNIQUE : CONCRETE IMPLEMENTATION. 49
11.6 THE KERNEL OF THE WHEELER-DEWITT CONSTRAINT OPERATOR. 53
11.7 MORE ON ANOMALIES AND THE PHYSICAL INNER PRODUCT . 56
11.7.1 THE QUANTUM DIRAC ALGEBRA. 56
11.7.2 PHYSICAL INNER PRODUCT . 57
11.8 TESTING THE NEW TECHNIQUE BY 2+1 EUCLIDEAN QUANTUM GRAVITY . 59
11.8.1 DERIVATION OF THE 2+1 WHEELER-DEWITT CONSTRAINT OPERATOR. 59
11.8.2 COMPARISON WITH TOPOLOGICAL QUANTUM FIELD THEORY. 62
11.9 KINEMATICAL HILBERT SPACES FOR DIFFEOMORPHISM INVARIANT THEORIES OF
FERMIONIC AND HIGGS
FIELDS. 64
11.9.1 FERMIONIC SECTOR. 64
11.9.2 HIGGS SECTOR . 66
11.9.3 GAUGE AND DIFFEOMORPHISM INVARIANT SUBSPACE. 68
11.10 QUANTUM GRAVITY REGULATES INFINITIES OF THE HAMILTONIAN OF MATTER
QUANTUM FIELD THEORIES 69
11.10.1 QUANTIZATION OF EINSTEIN-YANG-MILLS-THEORY. 70
II. 10.2 A GENERAL QUANTIZATION SCHEME . 71
11.11 A QUANTUM POSITIVITY OF ENERGY THEOREM. 73
11.12 FURTHER RESULTS, CRITICISM AND OUTLOOK . 76
11.12.1 FURTHER RESULTS. 76
II. 12.2 CRITICISM. 77
II. 12.3 FUTURE RESEARCH . 78
THESEN ZUR HABILITATIONSSCHRIFT
79
3
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/958894663
BIBLIOGRAPHY
83
III LIST OF SELECTED RESEARCH PAPERS
89
4 |
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| spelling | Thiemann, Thomas Verfasser aut Mathematische Formulierung der Quanten-Einstein-Gleichungen vorgelegt von Thomas Thiemann 2000 333 S. in getr. Zählung 30 cm txt rdacontent n rdamedia nc rdacarrier Text engl. - Enth. 12 Sonderpublikationen aus verschiedenen Schriftenreihen. - Potsdam, Univ., Habil.-Schr., 2000 Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Einstein-Feldgleichungen (DE-588)4013941-4 s Quantenfeldtheorie (DE-588)4047984-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008990170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thiemann, Thomas Mathematische Formulierung der Quanten-Einstein-Gleichungen Quantenfeldtheorie (DE-588)4047984-5 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4013941-4 (DE-588)4113937-9 |
| title | Mathematische Formulierung der Quanten-Einstein-Gleichungen |
| title_auth | Mathematische Formulierung der Quanten-Einstein-Gleichungen |
| title_exact_search | Mathematische Formulierung der Quanten-Einstein-Gleichungen |
| title_full | Mathematische Formulierung der Quanten-Einstein-Gleichungen vorgelegt von Thomas Thiemann |
| title_fullStr | Mathematische Formulierung der Quanten-Einstein-Gleichungen vorgelegt von Thomas Thiemann |
| title_full_unstemmed | Mathematische Formulierung der Quanten-Einstein-Gleichungen vorgelegt von Thomas Thiemann |
| title_short | Mathematische Formulierung der Quanten-Einstein-Gleichungen |
| title_sort | mathematische formulierung der quanten einstein gleichungen |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| topic_facet | Quantenfeldtheorie Einstein-Feldgleichungen Hochschulschrift |
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