Quantum gravity and quantum cosmology (Record no. 70265)

MARC details
000 -LEADER
fixed length control field 08787 a2200169 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642330353
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.143
Item number CAL
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Calcagni, Gianluca & Others Eds.
245 ## - TITLE STATEMENT
Title Quantum gravity and quantum cosmology
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York
Name of publisher, distributor, etc Springer
Date of publication, distribution, etc 2013
300 ## - PHYSICAL DESCRIPTION
Extent xii,399p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Lecture Notes in Physics Vol.863
9 (RLIN) 91765
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Contents<br/>Part I Quantum Gravity<br/>1 String Theory, Unification and Quantum Gravity 3<br/>K.S. Stelle<br/>1.1 Introduction: The Ultraviolet Problems of Gravity 3<br/>1.2 String Theory Basics 5<br/>1.2. l Reparametrization Invariance 6<br/>1.2.2 The String Action 7<br/>1.3 Effective Field Equations 10<br/>1.4 Dimensional Reduction and T-Duality 12<br/>1.4.1 Dimensional Reduction of Strings and T-Duality 13<br/>1.5 M-Theory and the Web of Dualities 15<br/>1.6 Branes and Duality 17<br/>1.7 The Onset of Supergravity Divergences 20<br/>1.7.1 Supergravity Counterterm Analysis 22<br/>1.7.2 Supergravity Divergences from Superstrings 25<br/>1.8 Other Aspects of String Theory 26<br/>1.8.1 The String Scale 26<br/>1.8.2 Boundaries of Moduli Space 27<br/>1.8.3 String and Gravity Thermodynamics 28<br/>1.9 Conclusion 28<br/>References 29<br/>2 Introduction to Loop Quantum Gravity and Cosmology 31<br/>Abhay Ashtekar<br/>2.1 Introduction 31<br/>2.1.1 Development of Quantum Gravity: A Bird's Eye View 31<br/>2.1.2 Physical Questions of Quantum Gravity 36<br/>2.2 Loop Quantum Gravity and Cosmology 38<br/>2.2.1 Viewpoint 38<br/>2.2.2 Advances 40<br/>2.2.3 Challenges and Opportunities 47<br/>References 55<br/>3 Covariant Loop Gravity 57<br/>Carlo Rovelli<br/>3.1 The Definition of the Theory 57<br/>3.2 Properties 58<br/>3.3 The Discretization of Parametrized Systems 59<br/>3.4 The Discretization of Classical General Relativity 62<br/>3.5 Conclusion 64<br/>References 65<br/>4 Spinor Gravity and Diffeomorphism Invariance on the Lattice 67<br/>C. Wetterich<br/>4.1 Introduction 67<br/>4.2 Spinors as Fundamental Degrees of Freedom 68<br/>4.3 Action and Functional Integral 71<br/>4.4 Generalized Lorentz Transformations 72<br/>4.5 Lorentz Invariant Spinar Bilinears 74<br/>4.6 Action with Local Lorentz Symmetry 75<br/>4.7 Gauge and Discrete Symmetries 77<br/>4.8 Discretization 78<br/>4.9 Lattice Action 79<br/>4.10 Lattice Diffeomorphism Invariance 81<br/>4.11 Lattice Diffeomorphism Invariance in Two Dimensions 83<br/>4.12 Effective Action 86<br/>4.13 Metric 87<br/>4.14 Effective Action for Gravity and Gravitational Field Equations 89<br/>4.15 Conclusions and Discussion 90<br/>References 92<br/>5 Introduction to Causal Dynamical Triangulations 93<br/>Andrzej Gorlich<br/>5.1 Introduction 93<br/>5.1.1 Causal Triangulations 94<br/>5.1.2 The Regge Action and the Wick Rotation 96<br/>5.2 Phase Diagram 98<br/>5.3 The Macroscopic de Sitter Universe 100<br/>5.3.1 The Spatial Volume 100<br/>5.3.2 The Mini-superspace Model 102<br/>5.3.3 The Four-Dimensional Space-Time 103<br/>5.4 Quantum Fluctuations 107<br/>5.4.1 The Effective Action 109<br/>5.4.2 Flow of the Gravitational Constant 112<br/>5.5 The Geometry of Spatial Slices 113<br/>5.5.1 The Hausdorff Dimension 113<br/>5.5.2 Spectral Dimension 115<br/>5.6 Conclusions 116<br/>References 116<br/>6 Massive Gravity: A Primer 119<br/>E.A. Bergshoeff, M. Kovacevic, J. Rosseel, and Y. Yin<br/>6.1 Introduction 119<br/>6.2 General Spin 121<br/>6.2.1 "Boosting up the Derivatives" 121<br/>6.2.2 "Taking the Square Root" 125<br/>6.3 Spin 1 126<br/>6.4 Spin 2 131<br/>6.4.1 3D New Massive Gravity 131<br/>6.4.2 3D Topological Massive Gravity 136<br/>6.4.3 Extensions 138<br/>6.5 Conclusions 139<br/>Appendix Exercises 139<br/>References 144<br/>Part II Quantum Cosmology<br/>7 Loop Quantum Cosmology, Space-Time Structure, and Falsifiability 149<br/>Martin Bojowald<br/>7.1 Introduction 149<br/>7.2 Canonical Gravity 153<br/>7.2.1 Cosmic Subtleties 154<br/>7.2.2 Deformations of Space 156<br/>7.2.3 Gauge Theory 157<br/>7.2.4 Quantum Corrections 159<br/>7.3 Loop Quantum Gravity 160<br/>7.3.1 Corrections from Loop Quantum Gravity 162<br/>7.3.2 Construction of Inverse-Triad Corrections 163<br/>7.3.3 Anomaly-Freedom 164<br/>7.3.4 Falsifiability 166<br/>7.3.5 Anomaly-Free Holonomy Corrections 167<br/>7.4 Effective Theories 168<br/>7.4.1 Effective Canonical Dynamics 170<br/>7.4.2 Moment Dynamics 172<br/>7.4.3 Effective Constraints 174<br/>7.4.4 Isotropic Cosmology 177<br/>7.4.5 Beginning 179<br/>7.5 Conclusions 181<br/>References 181<br/>8 Asymptotic Safety, Fractals, and Cosmology 185<br/>Martin Reuter and Frank Saueressig<br/>8.1 Introduction 185<br/>8.2 Theory Space and Its Truncation 188<br/>8.3 The Effective Average Action for Gravity 192<br/>8.4 The Einstein-Hilbert Truncation 194<br/>8.5 The Multi-fractal Properties of QEG Space-Times 197<br/>8.6 Spectral, Walk, and Hausdorff Dimension 200<br/>8.7 Fractal Dimensions Within QEG 202<br/>8. 7 .1 Diffusion Processes on QEG Space-Times 202<br/>8.7.2 The Spectral Dimension in QEG 204<br/>8.7.3 The Walk Dimension in QEG 206<br/>8.7.4 The Hausdorff Dimension in QEG 206<br/>8.7.5 Relations Between Dimensions 207<br/>8.8 The RG Running of Ds and Dw 207<br/>8.9 Matching the Spectral Dimensions of QEG and CDT 210<br/>8.10 Asymptotic Safety in Cosmology 213<br/>8.10.1 RG Improved Einstein Equations 214<br/>8.10.2 Solving the RG Improved Einstein Equations 214<br/>8.10.3 Inflation in the Fixed-Point Regime 215<br/>8.10.4 Entropy and the Renormalization Group 217<br/>8.10.5 Primordial Entropy Generation 219<br/>8.10.6 Entropy Production for RG Trajectory Realized by Nature 221<br/>8.11 Conclusions 223<br/>References 223<br/>9 Holography for Inflationary Cosmology 227<br/>Paul McFadden<br/>9.1 Introduction 227<br/>9.2 Domain-Walls and Cosmologies 230<br/>9.2.1 Defining the Perturbations 230<br/>9.2.2 Dynamics 232<br/>9.2.3 The Domain-Wall/Cosmology Correspondence 234<br/>9.2.4 Cosmological Power Spectra 236<br/>9.3 Holography for Cosmology 237<br/>9.3.1 Background Solutions 238<br/>9.3.2 Basics of Holography 238<br/>9.3.3 Hamiltonian Holographic Renormalisation 240<br/>9.3.4 The Stress Tensor 2-Point Function 243<br/>9.3.5 Holographic Analysis 244<br/>9.3.6 Holographic Formulae for the Power Spectra 249<br/>9.4 Holographic Phenomenology for Cosmology 250<br/>9.4.1 A Prototype Dual QFT 251<br/>9.4.2 Calculating the Holographic Power Spectra 252<br/>9.5 Confronting Observations 257<br/>9.6 Conclusion 263<br/>References 265<br/>Part III Observational Status<br/>10 Observational Status of Dark Matter 271<br/>Joseph Silk<br/>10.1 Introduction 271<br/>10.2 The Observational Case 272<br/>10.3 From Galaxies to Clusters 272<br/>10.3.1 Galaxy Rotation Curves 272<br/>10.4 Large-Scale Structure 274<br/>10.4.1 Redshift Space Distortions 274<br/>10.4.2 Baryon Acoustic Oscillations 275<br/>10.4.3 Cosmic Microwave Background 275<br/>10.5 Future Prospects in Observation 275<br/>10.6 Future Prospects in Astrophysical Theory 276<br/>10.7 Direct Detection 279<br/>10.8 Indirect Detection 279<br/>10.8.1 Helioseismology 280<br/>10.8.2 High Energy Cosmic Rays 280<br/>10.8.3 Gamma Rays 281<br/>10.8.4 The WMAP Microwave Haze 281<br/>10.8.5 Decaying Dark Matter 282<br/>10.9 The Future 282<br/>10.9.1 The Sun 282<br/>10.9.2 Direct Detection 283<br/>10.9.3 Air Cerenkov Telescopes 283<br/>10.9.4 Strange Stars 283<br/>10.9.5 The Galactic Centre 284<br/>10.9.6 LHC 284<br/>10.10 Summary 284<br/>References 285<br/>11 Dark Energy: Observational Status and Theoretical Models 289<br/>Shinji Tsujikawa<br/>11.1 Introduction 289<br/>11.2 Observational Constraints on Dark Energy 291<br/>11.2.1 Supernov~ Ia Observations 291<br/>11 .2.2 CMB 294<br/>11.2.3 BAO 296<br/>11.3 Cosmological Constant . 298<br/>11.4 Modified Matter Models 300<br/>11.4.1 Quintessence 301<br/>11.4.2 k-Essence 304<br/>11.4.3 Coupled Dark Energy 307<br/>11.4.4 Unified Models of Dark Energy and Dark Matter 311<br/>11.5 Modified Gravity Models 313<br/>11.5 .1 f (R) Gravity 313<br/>11.5.2 Scalar-Tensor Theories 319<br/>11.5.3 DGPModel 323<br/>11.6 Conclusions 325<br/>References 326<br/>12 Unconventional Cosmology 333<br/>Robert H. Brandenberger<br/>12.1 Introduction 333<br/>12.1.1 Overview 333<br/>12.1.2 Review oflnflationary Cosmology 335<br/>12.1.3 Conceptual Problems oflnflationary Cosmology 337<br/>12.2 Matter Bounce 339<br/>12.2.1 The Idea 339<br/>12.2.2 Realizing a Matter Bounce with Modified Matter 342<br/>12.2.3 Realizing a Matter Bounce with Modified Gravity 344<br/>12.3 Emergent Universe 345<br/>12.3.1 The Idea 345<br/>12.3.2 String Gas Cosmology 347<br/>12.4 Cosmological Perturbations 351<br/>12.4.1 Overview 351<br/>12.5 Fluctuations in Inflationary Cosmology 355<br/>12.6 Matter Bounce and Structure Formation 356<br/>12.6.1 Basics 357<br/>12.6.2 Specific Predictions 359<br/>12.7 String Gas Cosmology and Structure Formation 361<br/>12.7.1 Overview 361<br/>12.7.2 Spectrum of Cosmological Fluctuations 363<br/>12.7.3 Key Prediction of String Gas Cosmology 365<br/>12.7.4 Comments 367<br/>12.8 Conclusions 367<br/>References 368<br/>13 Quantum Gravity and Inflation 375<br/>M.G. Romania, N.C. Tsamis, and R.P. Woodard<br/>13.1 Introduction 375<br/>13.2 Model Building 381<br/>13.3 Post-Inflationary Evolution 391<br/>13.4 Conclusions 393<br/>References 394<br/>Index 397
890 ## - Country
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