Quantum cosmology the supersymmetric perspective 1 Fundamentals
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| Sprache: | English |
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2010
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803 |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
CONTENTS
PART I OVERVIEW
1 INTRODUCTION 3
REFERENCES 7
PART II A REVIEW OF ESSENTIALS
2 A SURVEY OF QUANTUM COSMOLOGY 13
2. 1 MOTIVATION AND JUSTIFICATION 13
2.2 HAMILTONIAN FORMULATION OF GENERAL RELATIVITY 16
2.2.1 THE ADM (OR 3 + 1) DECOMPOSITION 16
2.2.2 HAMILTONIAN AND CONSTRAINTS 18
2.3 THE ADM HAMILTONIAN 22
2.3.1 REDUCTION TO HOMOGENEOUS COSMOLOGIES 22
2.3.2 MOMENTUM CONSTRAINT AND COORDINATE CONDITIONS 25 2.4 ADM
(HAMILTONIAN) QUANTIZATION 27
2.4.1 BIANCHI I MODELS 27
2.4.2 FRIEDMANN-ROBERTSON-WALKER (FRVV) UNIVERSE 28 2.4.3 BIANCHI IX
COSMOLOGIES 30
2.5 SUPERSPACE AND THE DIRAC QUANTIZATION METHOD 31
2.6 ALGEBRA OF CONSTRAINTS 34
2.7 BOUNDARY CONDITIONS 36
2.7.1 THE NO-BOUNDARY PROPOSAL 37
2.7.2 THE TUNNELING PROPOSAL 39
2.8 MINISUPERSPACE 40
2.8.1 THE WKB APPROXIMATION 42
2.8.2 MINISUPERSPACES AND BOUNDARY CONDITIONS 43
PROBLEMS 49
REFERENCES 50
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000032868
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
A SUMMARY OF SUPERSYMMETRY AND SUPERGRAVITY 55
3.1 WHY SUSY? 56
3.2 SUSY ALGEBRA AND TRANSFORMATIONS 59
3.2.1 SUSY ALGEBRA 59
3.2.2 SUPERMULTIPLETS 61
3.2.3 SUSY TRANSFORMATIONS AND THE WESS-ZUMINO MODEL 62 3.3 SUPERSPACE
AND SUPERFIELDS 65
3.3.1 CHIRAL SUPERFIELDS 70
3.3.2 VECTOR SUPERFIELDS 75
3.4 N=I SUPERGRAVITY 78
3.4.1 NOETHER METHOD 79
3.4.2 FIRST VERSUS SECOND ORDER FORMALISM 83
3.4.3 SUGRA AND THEORIES OF GRAVITATION WITH TORSION 85 3.5 N=L
SUPERGRAVITY AND MATTER 88
PROBLEMS 91
REFERENCES 92
CANONICAL QUANTIZATION OIN=L SUPERGRAVITY 95
4.1 HAMILTONIAN FORMULATION 96
4.1.1 DECOMPOSITION WITH METRIC AND TORSION 97
4.1.2 DECOMPOSITION WITH TETRAD AND TORSION 100
4.1.3 ALGEBRA OF CONSTRAINTS 106
4.1.4 TWO-COMPONENT SPINOR REPRESENTATION 110
4.2 QUANTIZATION OF N = 1 SUPERGRAVITY 115
4.2.1 A REPRESENTATION FOR THE FERMIONIC MOMENTA 115 4.2.2 ALGEBRA OF
(QUANTUM) CONSTRAINTS 116
4.2.3 INCLUDING (SUPER)MATTER. GENERAL FORMALISM 119 PROBLEMS 123
REFERENCES 124
PART III SUPERSYMMETRIC QUANTUM COSMOLOGY
5 SQC N=L SUGRA (FERMIONIC DIFFERENTIAL OPERATOR REPRESENTATION) . 129
5.1 FRW MODELS 130
.1 FRW MINISUPERSPACE REDUCTION ANSAETSE 131
.2 FRW QUANTUM STATES FOR THE VACUUM CASE 136
.3 SUSY (FRW) QUANTUM STATES WITH COSMOLOGICAL CONSTANT.. 139 .4 SCALAR
SUPERMULTIPLETS AND SUPERPOTENTIAL 140
1.5 VECTOR SUPERMULTIPLETS 156
5.2 BIANCHI (CLASS A) MODELS 163
5.2.1 MINISUPERSPACE REDUCTION METHOD 163
5.2.2 APPLYING THE LORENTZ CONSTRAINT 164
5.2.3 SUPERSYMMETRIC VACUUM CASE 166
IMAGE 3
CONTENTS
PROBLEMS 180
REFERENCES 181
COSMOLOGIES WITH (HIDDEN) A 7 = 2 SUPERSYMMETRY 1 85
6.1 MINISUPERSPACES FROM GENERAL RELATIVITY 185
6.1.1 IV=2 SUPERSYMMETRIC COSMOLOGIES 189
6.1.2 EMPTY MATTER SECTOR 193
6.1.3 BAROTROPIC FLUID MATTER 199
6.1.4 COMPLEX SCALAR FIELD 204
6.1.5 GAUGE FIELDS 209
6.2 SUPERSTRING SCENARIOS AND DUALITY TRANSFORMATIONS 212 6.2.1 IV=2
SUSY BIANCHI MODELS FROM THE HETEROTIC STRING 213 6.2.2 P-BRANE
BACKGROUNDS 225
6.2.3 INDUCED GRAVITY SCENARIOS 230
6.2.4 BRANS-DICKE THEORY 234
PROBLEMS 244
REFERENCES 245
PART IV POINTS OF DEPARTURE
7 OBSTACLES AND RESULTS: FROM QC TO SQC 251
7.1 QUANTUM COSMOLOGY 251
7.2 SUPERGRAVITY 253
7.3 SUPERSYMMETRIC QUANTUM COSMOLOGY 254
7.3.1 FRW MODELS 254
7.3.2 SPATIAL ANISOTROPY 255
REFERENCES 256
8 ROUTES BEYOND THE BORDERS 259
REFERENCES 260
A LIST OF SYMBOLS, NOTATION, AND USEFUL EXPRESSIONS 263
A.I LIST OF SYMBOLS 263
A.2 CONVENTIONS AND NOTATION 267
A.3 ABOUT SPINORS 268
A.3.1 SPINOR REPRESENTATIONS OF THE LORENTZ GROUP 268 A.3.2 DIRAC AND
MAJORANA SPINORS 274
A.4 USEFUL EXPRESSIONS 277
A.4.1 METRIC AND TETRAD 279
A.4.2 CONNECTIONS AND TORSION 280
A.4.3 COVARIANT DERIVATIVES 282
A.4.4 (GRAVITATIONAL) CANONICAL MOMENTA 283
A.4.5 CURVATURE 283
IMAGE 4
XIV CONTENTS
A.4.6 DECOMPOSITION WITH FOUR-COMPONENT SPINORS 285 A.4.7 EQUATIONS USED
IN CHAP. 4 OF VOL. II 286
REFERENCES 288
B QUANTIZATION OF HAMILTONIAN SYSTEMS WITH CONSTRAINTS 289 B.I PRIMARY
AND SECONDARY CONSTRAINTS 289
B.I.I PRIMARY CONSTRAINTS 291
B.1.2 SECONDARY CONSTRAINTS 292
B.2 FIRST AND SECOND CLASS CONSTRAINTS 293
B.3 THE DIRAC BRACKET AND QUANTIZATION 295
REFERENCE 297
C SOLUTIONS TO EXERCISES 299
REFERENCES 340
INDEX 343
|
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| spelling | Moniz, Paulo Vargas 1962- Verfasser (DE-588)143642650 aut Quantum cosmology the supersymmetric perspective 1 Fundamentals Paulo Vargas Moniz Berlin [u.a.] Springer 2010 XIV, 351 S. txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Physics 803 Lecture notes in physics ... (DE-604)BV036467892 1 Lecture Notes in Physics 803 (DE-604)BV000003166 803 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025243925&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moniz, Paulo Vargas 1962- Quantum cosmology the supersymmetric perspective Lecture Notes in Physics |
| title | Quantum cosmology the supersymmetric perspective |
| title_auth | Quantum cosmology the supersymmetric perspective |
| title_exact_search | Quantum cosmology the supersymmetric perspective |
| title_full | Quantum cosmology the supersymmetric perspective 1 Fundamentals Paulo Vargas Moniz |
| title_fullStr | Quantum cosmology the supersymmetric perspective 1 Fundamentals Paulo Vargas Moniz |
| title_full_unstemmed | Quantum cosmology the supersymmetric perspective 1 Fundamentals Paulo Vargas Moniz |
| title_short | Quantum cosmology |
| title_sort | quantum cosmology the supersymmetric perspective fundamentals |
| title_sub | the supersymmetric perspective |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025243925&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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