Asymptotically safe gravity : from spacetime foliation to cosmology /: from spacetime foliation to cosmology. (2018)

• Record Type: Book
• Further Information: Note: Alessia Benedetta Platania.
• Authors: Platania, Alessia Benedetta
• Contents: Intro; Supervisors' Foreword; Abstract; Acknowledgements; Contents; Abbreviations; Part I Asymptotically Safe Quantum Gravity; 1 Introduction; References; 2 The Wilsonian Idea of Renormalization; 2.1 Scale Invariance, Universality and Kadanoff Blocking Transformations; 2.1.1 The Role of Scaling Laws; 2.1.2 Kadanoff Blocking Transformations; 2.2 The Wilsonian Idea of Renormalization; 2.3 Functional Renormalization Group; 2.3.1 Wilsonian Average Action; 2.3.2 Wegner-Houghton Equation; 2.4 Fixed Points and Generalized Renormalizability; References 3 Functional Renormalization and Asymptotically Safe Gravity3.1 The Wetterich Equation for Scalars; 3.2 The Wetterich Equation for Gauge Theories; 3.2.1 Gauge Fixing and Ghosts; 3.2.2 Background Field Method; 3.2.3 Cutoff Function and Heat-Kernel Techniques; 3.3 Asymptotic Safety in Quantum Einstein Gravity; References; Part II Asymptotically Safe Gravity on Foliated Spacetimes; 4 Quantum Gravity on Foliated Spacetimes; 4.1 Spacetime Foliation and Functional Renormalization; 4.1.1 Arnowitt-Deser-Misner Decomposition of Spacetime; 4.1.2 Renormalization Group Equations on Foliated Spacetimes 4.2 Renormalization Group Flow on a FRW Background4.2.1 The Einstein-Hilbert Ansatz; 4.2.2 Operator Traces on FRW Backgrounds; 4.2.3 Hessians, Gauge-Fixing and Ghost Action; 4.2.4 Regulator and Beta Functions; 4.3 Properties of the Renormalization Group Flow; 4.3.1 Pure Gravity; 4.3.2 Gravity-Matter Systems; 4.4 Universality Classes for Quantum Gravity; 4.4.1 Fixed Points and Universality Classes; 4.4.2 Phase Diagrams; References; Part III Astrophysical and Cosmological Implications of Asymptotic Safety; 5 Inflationary Cosmology from Quantum Gravity-Matter Systems 5.1 CMB Radiation and Cosmic Inflation5.1.1 Cosmic Inflation and Slow-Roll Approximation; 5.2 Asymptotically Safe Inflation from (R+R2)-Gravity; 5.2.1 Motivation and Strategy; 5.2.2 Effective Inflationary Potential from Quadratic Gravity; 5.2.3 Inflaton Dynamics and Primordial Power Spectrum; 5.2.4 Post-inflationary Dynamics; 5.3 Constraints on Early Universe Matter Fields from Foliated Quantum Gravity-Matter Systems; References; 6 Quantum Black Holes and Spacetime Singularities; 6.1 Vaidya-Kuroda-Papapetrou Spacetimes; 6.2 Singularity Structure in Generalized Vaidya Spacetimes 6.3 RG-improved VKP Spacetimes6.3.1 Gravitational Collapse in the RG-improved VKP Spacetime; 6.3.2 Singularity Structure in the RG-improved VKP Spacetime; References; Part IV Conclusions; 7 Conclusions; References; A FRG Equations on Foliated Spacetimes; A.1 Hessians in a FRW Background; A.1.1 Hessians in the Gravitational Sector; A.1.2 Gauge-Fixing Terms; A.2 Evaluation of the Operator Traces; A.2.1 Cutoff Scheme and Master Traces; A.2.2 Trace Contributions in the Gravitational Sector; A.2.3 Minimally Coupled Matter Fields; Appendix Curriculum Vitae et Studiorum
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xv, 142 pages), illustrations (some color)
• Subjects: 530.12; Physics; Quantum gravity; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Science -- Cosmology; Mathematics -- Topology; Relativity physics; Analytic geometry; Cell aggregation_xMathematics; Science -- Gravity; Gravity; Electronic books
• Languages: English
• ISBNs: 9783319987941; 3319987941
• Related ISBNs: 9783319987934
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed September 25, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.