000850865 000__ 04784cam\a2200517Ii\4500 000850865 001__ 850865 000850865 005__ 20230306145002.0 000850865 006__ m\\\\\o\\d\\\\\\\\ 000850865 007__ cr\cn\nnnunnun 000850865 008__ 180925s2018\\\\sz\a\\\\ob\\\\000\0\eng\d 000850865 019__ $$a1055262301$$a1055679328 000850865 020__ $$a9783319987941$$q(electronic book) 000850865 020__ $$a3319987941$$q(electronic book) 000850865 020__ $$z9783319987934 000850865 020__ $$z3319987933 000850865 0247_ $$a10.1007/978-3-319-98794-1$$2doi 000850865 035__ $$aSP(OCoLC)on1054128494 000850865 035__ $$aSP(OCoLC)1054128494$$z(OCoLC)1055262301$$z(OCoLC)1055679328 000850865 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dN$T$$dEBLCP$$dYDX 000850865 049__ $$aISEA 000850865 050_4 $$aQC178 000850865 08204 $$a530.12$$223 000850865 1001_ $$aPlatania, Alessia Benedetta,$$eauthor. 000850865 24510 $$aAsymptotically safe gravity :$$bfrom spacetime foliation to cosmology /$$cAlessia Benedetta Platania. 000850865 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018. 000850865 300__ $$a1 online resource (xv, 142 pages) :$$billustrations. 000850865 336__ $$atext$$btxt$$2rdacontent 000850865 337__ $$acomputer$$bc$$2rdamedia 000850865 338__ $$aonline resource$$bcr$$2rdacarrier 000850865 4901_ $$aSpringer theses,$$x2190-5053 000850865 500__ $$a"Doctoral thesis accepted by Università degli studi di Catania, Italy, and Radboud University Nijmegen, The Netherlands." 000850865 504__ $$aIncludes bibliographical references. 000850865 5050_ $$aIntro; 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 000850865 5058_ $$a3 Functional Renormalization and Asymptotically Safe Gravity3.1 The Wetterich Equation for Scalars; 3.2 The Wetterich Equation for Gauge Theories; 3.2.1 Gauge Fixing and Ghosts; 3.2.2 Background Field Method; 3.2.3 Cutoff Function and Heat-Kernel Techniques; 3.3 Asymptotic Safety in Quantum Einstein Gravity; References; Part II Asymptotically Safe Gravity on Foliated Spacetimes; 4 Quantum Gravity on Foliated Spacetimes; 4.1 Spacetime Foliation and Functional Renormalization; 4.1.1 Arnowitt-Deser-Misner Decomposition of Spacetime; 4.1.2 Renormalization Group Equations on Foliated Spacetimes 000850865 5058_ $$a4.2 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 000850865 5058_ $$a5.1 CMB Radiation and Cosmic Inflation5.1.1 Cosmic Inflation and Slow-Roll Approximation; 5.2 Asymptotically Safe Inflation from (R+R2)-Gravity; 5.2.1 Motivation and Strategy; 5.2.2 Effective Inflationary Potential from Quadratic Gravity; 5.2.3 Inflaton Dynamics and Primordial Power Spectrum; 5.2.4 Post-inflationary Dynamics; 5.3 Constraints on Early Universe Matter Fields from Foliated Quantum Gravity-Matter Systems; References; 6 Quantum Black Holes and Spacetime Singularities; 6.1 Vaidya-Kuroda-Papapetrou Spacetimes; 6.2 Singularity Structure in Generalized Vaidya Spacetimes 000850865 5058_ $$a6.3 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 000850865 506__ $$aAccess limited to authorized users. 000850865 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 25, 2018). 000850865 650_0 $$aQuantum gravity. 000850865 77608 $$iPrint version: $$z3319987933$$z9783319987934$$w(OCoLC)1044857828 000850865 830_0 $$aSpringer theses,$$x2190-5053 000850865 852__ $$bebk 000850865 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-98794-1$$zOnline Access$$91397441.1 000850865 909CO $$ooai:library.usi.edu:850865$$pGLOBAL_SET 000850865 980__ $$aEBOOK 000850865 980__ $$aBIB 000850865 982__ $$aEbook 000850865 983__ $$aOnline 000850865 994__ $$a92$$bISE