Handbook of Quantum Gravity

ISBN-13: 9789819976805 / Angielski

Cosimo Bambi; Leonardo Modesto; Ilya Shapiro

Spis treści

Section I: Effective Quantum Gravity

Section Editors:

Cliff Burgess (McMaster University, Hamilton, Canada; cburgess@perimeterinstitute.ca)

John Donoghue (University of Massachusetts, Amherst, USA; donoghue@physics.umass.edu

Section II: Perturbative Quantum Gravity

Section Editors:

Ilya Shapiro (Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil; ilyashapiro2003@ufjf.br)

Chapter: The background information about perturbative quantum gravity

Ilya Shapiro (Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil; ilyashapiro2003@ufjf.br)

Chapter: On the covaraint renormalization in the models of quantum gravity

Peter M. Lavrov (Tomsk State Pedagogical University, Tomsk, Russia; lavrov@tspu.edu.ru)

Ilya Shapiro (Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil; ilyashapiro2003@ufjf.br)

Chapter: Quantum cosmological gravitational waves?

Patrick Peter (Institut d’Astrophysique de Paris, Paris, France; peter@iap.fr)

Amaury Micheli (Universite Pierre et Marie Curie, Paris, France; amaury.micheli@ijclab.in2p3.fr)

Chapter: One-loop divergences in higher-derivative gravity

Nobuyoshi Ohta (National Central University, Taoyuan, Taiwan; ohtan@ncu.edu.tw)

Chapter: Horava models as palladium of unitarity and renormalizability in local quantum gravity theory

Andrei Barvinsky (Lebedev Physics Institute, Moscow, Russia; barvin@td.lpi.ru)

Alexander Kamenshchik (Bologna University, Bologna, Italy; Alexander.Kamenshchik@bo.infn.it)

Chapter: Nonminimal Higgs Inflation and Initial Conditions in Cosmology

Andrei Barvinsky (Lebedev Physics Institute, Moscow, Russia; barvin@td.lpi.ru)

Alexander Kamenshchik (Bologna University, Bologna, Italy; Alexander.Kamenshchik@bo.infn.it)

Chapter: Black hole thermodynamics and quantum gravity

Dmitri V. Fursaev (Dubna State University, Dubna, Russia; fursaev@thsun1.jinr.ru)

Chapter: The Vilkovisky-DeWitt effective action for quantum gravity: Introduction and applications

David Toms (Newcastle University, Newcastle upon Tyne, UK; david.toms@newcastle.ac.uk)

Section III: Asymptotically Safe Quantum Gravity

Section Editors:

Roberto Percacci (SISSA, Trieste, Italy; percacci@sissa.it)

Chapter: The functional renormalization group in quantum gravity

Martin Reuter (University of Mainz, Mainz, Germany; reutma00@uni-mainz.de)

Frank Saueressig (Radboud University, Nijmegen, The Netherlands; f.saueressig@science.ru.nl)

Chapter: The vertex expansion

Jan M. Pawlowski (University of Heidelberg, Heidelberg, Germany; J.Pawlowski@thphys.uni-heidelberg.de)

Manuel Reichert (University of Sussex, Brighton, UK; M.Reichert@sussex.ac.uk)

Chapter: Polynomial f(R) and related approximations

Daniel F. Litim (University of Sussex, Brighton, UK; D.Litim@sussex.ac.uk)

Chapter: The functional f(R) approximation

Tim R. Morris (University of Southampton, Southampton, UK; T.R.Morris@soton.ac.uk)

Chapter: Asymptotic safety in gravity with curvature square terms

Kevin Falls (SISSA, Trieste, Italy; kevin.g.falls@gmail.com)

Nobuyoshi Ohta (National Central University, Taoyuan, Taiwan; ohtan@ncu.edu.tw)

Chapter: Asymptotically safe gravity at the level of form factors

Frank Saueressig (Radboud University, Nijmegen, The Netherlands; f.saueressig@science.ru.nl)

Chapter: Asymptotic safety of gravity and matter

Astrid Eichhorn (University of Southern Denmark, Odense, Denmark; eichhorn@sdu.dk)

Mark Schiffer (University of Southern Denmark, Odense, Denmark; mschiffer@perimeterinstitute.ca)

Chapter: Asymptotic safety and cosmology

Alfio Bonanno (Catania Astrophysical Observatory, Catania, Italy; alfio.bonanno@inaf.it)

Chapter: Black holes in asymptotically safe gravity

Alessia Platania (Perimeter Institute for Theoretical Physics, Waterloo, Canada; aplatania@perimeterinstitute.ca)

Section IV: Nonlocal Quantum Gravity

Section Editors:

Leonardo Modesto (SUSTech, Shenzhen, China; lmodesto@sustc.edu.cn)

Chapter: Nonlocal Gauge Theories including Quantum Gravity

Nikolay V. Krasnikov (Institute for Nuclear Research, Moscow, Russia; krasniko@inr.ac.ru)

Chapter: Classical Nonlocal Field Theories and Gravity

Gianluca Calcagni (Instituto de Estructura de la Materia/CSIC, Madrid, Spain; g.calcagni@csic.es)

Chapter: Nonlocal Quantum Gravity

Leslaw Rachwal (Universidade Federal de Juiz de Fora, Brazil; grzerach@gmail.com)

Chapter: Unitarity and Cutkosky cuts in Nonlocal Field Theory

Fabio Briscese (SUSTech, Shenzhen, China; briscese.phys@gmail.com)

Chapter: Linear and Nonlinear Perturbative Stability in Nonlocal Gravity

Fabio Briscese (SUSTech, Shenzhen, China; briscese.phys@gmail.com)

Tentative Table of Contents – January 11, 2022 3

Chapter: Scattering Amplitudes in Nonlocal Gravity

Stefano Giaccari (Holon Institute of Technology, Holon, Israel; stefanog@hit.ac.il)

Chapter: Causality in Classical and Quantum Nonlocal Gravity

Stefano Giaccari (Holon Institute of Technology, Holon, Israel; stefanog@hit.ac.il)

Chapter: Mathematical aspects of analytic infinite derivative gravity theories

Alexey S. Koshelev (Universidade da Beira Interior, Covilh˜a, Portugal; ak@inpcs.net)

Chapter: Nonlocal Unified Theory

Leonardo Modesto (SUSTech, Shenzhen, China; lmodesto@sustc.edu.cn)

Section V: Supergravity

Section Editors:

Sylvester James Gates Jr. (Brown University, Providence, USA; sylvester gates@brown.edu)

Konstantinos Koutrolikos (Brown University, Providence, USA; konstantinos koutrolikos@brown.edu)

Chapter: Formulations of 4D, N = 1 Supergravity

Peter van Nieuwenhuizen (vannieu@gmail.com) TBC

Sergei Kuzenko (University of Western Australia, Perth, Australia; sergei.kuzenko@uwa.edu.au)

Leonardo Castellani (University of Eastern Piedmont, Alessandria, Italy; leonardo.castellani@uniupo.it)

Chapter: Extended Supergravity Theories and Higher Dimensions

Antoine van Proeyen (KU Leuven, Leuven, Belgium; Antoine.VanProeyen@fys.kuleuven.be)

Evgeny Ivanov (JINR, Dubna, Russia; eivanov@theor.jinr.ru)

Hermann Nicolai (MPI for Gravitational Physics, Potsdam, Germany; hermann.nicolai@aei.mpg.de) TBC

Ergin Sezgin (Texas A&M University, College Station, USA; sezgin@tamu.edu)

Chapter: Conformal Supergravity

TBC

Chapter: Pure Spinors

Martin Cederwall (Chalmers University of Technology, Gothenburg, Sweden; martin.cederwall@chalmers.se)

Chapter: Quantum Corrections

Renata Kallosh (kallosh@stanford.edu) TBC

Martin Rocek (martin.rocek@stonybrook.edu) TBC

Zvi Bern (bern@physics.ucla.edu) TBC

Chapter: Supergravity Breaking and Phenomenology

Michel Rausch de Traubenberg (Strasbourg University, Strasbourg, France; Michel.Rausch@iphc.cnrs.fr) TBC

Sergei V. Ketov (Tokyo Metropolitan University, Tokyo, Japan; ketov@tmu.ac.jp)

Eric Bergshoeff (University of Groningen, Groningen, The Netherlands; e.a.bergshoeff@rug.nl)

Section VI: String Theories

Section Editors:

Carlo Angelantonj (Turin University, Turin, Italy; carlo.angelantonj@unito.it)

Ignatios Antoniadis (Sorbonne Universit´e, Paris, France; antoniad@lpthe.jussieu.fr)

Chapter: Introduction to String Theory

TBC

Chapter: Scattering Amplitudes

Tomasz Taylor (Northeastern University, Boston, USA; taylor@neu.edu)

Stephan Stieberger (MPI for Physics, Munich, Germany; stephan.stieberger@mpp.mpg.de)

Chapter: Compactification and Effective Field Theory

TBC

Chapter: Model Building in Heterotic String

Hans-Peter Nilles (University of Bonn, Bonn, Germany; nilles@th.physik.uni-bonn.de)

Ioannis Rizos (University of Ioannina, Ioannina, Greece; irizos@uoi.gr)

Chapter: Model Building in D-branes and F-theory

Bert Schellekens (NIKHEF, Amsterdam, The Netherlands; t58@nikhef.nl)

Chapter: Moduli Stabilisation and Cosmology

Shamit Kachru (Stanford University, Stanford, USA; skachru@stanford.edu)

Ferdinando Quevedo (Cambridge University, Cambridge, UK; f.quevedo@damtp.cam.ac.uk)

Chapter: Supersymmetry Breaking

Emilian Dudas (Ecole Polytechnique, Palaiseau, France; emilian.dudas@polytechnique.edu)

Ioannis Florakis (University of Ioannina, Ioannina, Greece; iflorakis@uoi.gr)

Jihad Mourad (Universit´e de Paris, Paris, France; mourad@apc.univ-paris7.fr)

Augusto Sagnotti (Scuola Normale Superiore, Pisa, Italy; sagnotti@sns.it)

Chapter: D-branes

Costas Bachas (LPT, Paris, France; bachas@lpt.ens.fr)

Massimo Bianchi (University of Rome Tor Vergata, Rome, Italy; massimo.bianchi@roma2.infn.it)

Chapter: D-branes for Gauge Theories

Michael Douglas (Stony Brook University, Stony Brook, USA; mdouglas@scgp.stonybrook.edu) TBC

Chapter: String Field Theory

Ashoke Sen (Harish-Chandra Research Institute, Allahabad, India; sen@hri.res.in)

Chapter: Pure Spinor Formulation and its Applications

Nathan Berkovits (Universidade Estadual Paulista, Sao Paulo, Brazil; nathan.berkovits@unesp.br)

Carlos Mafra (University of Southampton, Southampton, UK; c.r.mafra@soton.ac.uk)

Chapter: String Dualities

TBC

Chapter: The AdS/CFT Correspondence

Juan Maldacena (Institute for Advanced Study, Princeton, USA; malda@ias.edu)

Chapter: Black Holes in String Theory

Sameer Murthy (King’s College London, London, UK; sameer.murthy@kcl.ac.uk)

Kyriakos Papadodimas (International Centre for Theoretical Physics, Trieste, Italy; kyriakos@ictp.it)

Chapter: Swampland

TBC

Chapter: Effective Theories in 10 Dimensions

TBC

Section VII: The Path Integral for Gravity

Section Editors:

Neil Turok (University of Edinburgh, Edinburgh, UK; Neil.Turok@ed.ac.uk)

In preparation

Section VIII: Causal Dynamical Triangulations

Section Editors:

Jan Ambjørn (Copenhagen University, Copenhagen, Denmark; ambjorn@nbi.dk)

Renate Loll (Radboud University, Nijmegen, The Netherlands; r.loll@science.ru.nl)

Chapter: DT and CDT, general description

Jan Ambjørn (Copenhagen University, Copenhagen, Denmark; ambjorn@nbi.dk)

Chapter: Generalized 2d CDT

Timothy Budd (Radboud University, Nijmegen, The Netherlands; t.budd@science.ru.nl)

Chapter: The exponential bound on the number of CDT triangulations

Thordur Jonsson (Iceland University, Reykjavik, Iceland; thjons@hi.is)

Chapter: Hard dimer models in CDT

John Wheater (Oxford University, Oxford, UK; john.wheater@physics.ox.ac.uk)

Chapter: Loop models on CDT

Bergfinnur Durhuus (Copenhagen University, Copenhagen, Denmark; durhuus@math.ku.dk)

Chapter: W3 generalizations of CDT

Yoshiyuki Watabiki (Tokyo Institute of Technology, Tokyo, Japan; watabiki@th.phys.titech.ac.jp)

Chapter: Ising models coupled to CDT

Yuki Sato (Nagoya University, Nagoya, Japan; ysato@th.phys.nagoya-u.ac.jp)

Chapter: Spectral methods in CDT

Massimo D’Elia (Pisa University, Pisa, Italy; massimo.delia@unipi.it)

Chapter: Gauge fields coupled to CDT

Giuseppe Clemente (DESY, Zeuthen, Germany; giuseppe.clemente@desy.de)

Chapter: The phase diagram of 4d CDT

Andrzej G¨orlich (Jagiellonian University, Krakow, Poland; andrzej.goerlich@uj.edu.pl)

Chapter: Observables and curvature in CDT

Renate Loll (Radboud University, Nijmegen, The Netherlands; r.loll@science.ru.nl)

Chapter: Phase transitions in 4d DT

Jack Laiho (Syracuse University, Syracuse, USA; jwlaiho@syr.edu)

Chapter: Three dimensional CDT

Dario Benedetti (Ecole Polytechnique, Palaiseau, France; dario.benedetti@polytechnique.edu)

Chapter: CDT and asymptotic safely

Frank Saueressig (Radboud University, Nijmegen, The Netherlands; f.saueressig@science.ru.nl)

Chapter: CDT with toroidal topology

Jakub Gizbert-Studnicki (Jagiellonian University, Krakow, Poland; jakub.gizbert-studnicki@uj.edu.pl)

Section IX: Loop Quantum Gravity and Spinfoams

Section Editors:

Abhay Ashtekar (The Pennsylvania State University, University Park, USA; ashtekar@gravity.psu.edu)

Yongge Ma (Beijing Normal University, Beijing, China; mayg@bnu.edu.cn)

Chapter: Emergence of Riemannian Quantum Geometry

Jerzy Lewandowski (University of Warsaw, Warsaw, Poland; Jerzy.Lewandowski@fuw.edu.pl)

Hal M. Haggard (Bard College, Annandale-On-Hudson, USA; hhaggard@bard.edu)

Hanno Sahlmann (Friedrich-Alexander-University of Erlangen-Nurnberg, Erlangen, Germany; hanno.sahlmann@gravity.fau.de)

Chapter: Hamiltonian Theory: Dynamics

Thomas Thiemann (Friedrich-Alexander-University of Erlangen-Nurnberg, Erlangen, Germany;

thomas.Thiemann@gravity.fau.de)

Kristina Giesel (Friedrich-Alexander-University of Erlangen-Nurnberg, Erlangen, Germany; kristina.giesel@gravity.fau.de)

Chapter: Hamiltonian Theory: Generalizations to Higher Dimensions and Supersymmetry and Modified

Gravity

Borbert Bodendorfer (University of Regensburg, Regensburg, Germany; norbert.bodendorfer@physik.uni-r.de)

Xiangdong Zhang (South China University of Technology, Guangzhou, China; scxdzhang@scut.edu.cn)

Konstantin Eder (University of Regensburg, Regensburg, Germany; konstantin.eder@gravity.fau.de)

Chapter: Spinforms: Foundations

Jonathan Engle (Florida Atlantic University, Boca Raton, USA; jonathan.engle@fau.edu)

Simone Speziale (Aix Marseille University, Marseille, France; simone.speziale@cpt.univ-mrs.fr)

Chapter: Spin-foams and High Performance Computing

Pietro Dona (Aix Marseille University, Marseille, France; dona@cpt.univ-mrs.fr)

Muxin Han (Florida Atlantic University, Boca Raton, USA; hanm@fau.edu)

Hongguang Liu (Friedrich-Alexander-University of Erlangen-Nurnberg, Erlangen, Germany; hongguang.liu@gravity.fau.de)

Chapter: Graphical Calculus

Emanuele Alesci (Zhejiang University of Technology, Hangzhou, China; emanuele.alesci@gmail.com)

Jinsong Yang (Guizhou University, Guiyang, China; jsyang@gzu.edu.cn)

Ilkka Makinen (University of Warsaw, Warsaw, Poland; ilkka.makinen@fuw.edu.pl)

Chapter: Loop Quantum Cosmology: Singularity Resolution and Its Implications

Parampreet Singh (Louisiana State University, Baton Rouge, USA; psingh@lsu.edu)

Baofei Li (Louisiana State University, Baton Rouge, USA; baofeili1@lsu.edu)

Chapter: Loop Quantum Cosmology: Relation Between Theory and Observations

Ivan Agullo (Louisiana State University, Baton Rouge, USA; agullo@lsu.edu)

Anzhong Wang (Baylor University, Waco, USA; anzhong wang@baylor.edu)

Edward Wilson-Ewing (University of New Brunswick, Fredericton, Cannada; edward.wilson-ewing@unb.ca)

Chapter: Black Hole Entropy

Fernando Barbero (CSIC, Madrid, Spain; fbarbero@iem.cfmac.csic.es)

Daniele Pranzetti (Perimeter Institute for Theoretical Physics, Waterloo, Canada; dpranzetti@perimeterinstitute.ca)

Chapter: Quantum Geometry and Black Holes

Rodolfo Gambini (University of Republic, Montevideo, Uruguay; rgambini@fisica.edu.uy)

Jorge Pullin (Louisiana State University, Baton Rouge, USA; pullin@lsu.edu)

Javier Olmedo (University of Granada, Granada, Spain; javolmedo@ugr.es)

Chapter: Spin-foams, Continuum Limit and Renormalization

Bianca Dittrich (Perimeter Institute for Theoretical Physics, Waterloo, Canada; bdittrich@perimeterinstitute.ca)

Seth Asante (University of Jena, Germany; seth.asante@uni-jena.de)

Sabastian Steinhaus (University of Jena, Germany; sebastian.steinhaus@uni-jena.de)

Chapter: Boundary Degrees of Freedom in Loop Quantum Gravity

Laurent Freidel (Perimeter Institute for Theoretical Physics, Waterloo, Canada; bdittrich@perimeterinstitute.ca)

Marc Geiller (ENS de Lyon, Lyon, France; marc.geiller@ens-lyon.fr)

Wolfgang Wieland (Institute for Quantum Optics and Quantum Information, Vienna, Austria;

WolfgangMartin.Wieland@oeaw.ac.at)

Chapter: Loop Quantum Gravity and Quantum Information

Eugenio Bianchi (The Pennsylvania State University, University Park, USA; ebianchi@psu.edu)

Etera R. Livine (ENS de Lyon, Lyon, France; etera.livine@ens-lyon.fr)

Chapter: Philosophical Foundations of Loop Quantum Gravity

Carlo Rovelli (Rotman Institute of Philosophy, London, Canada; crovelli@uwo.ca)

Francesca Vidotto (University of Western Ontario, London, Canada; fvidotto@uwo.ca

O autorze

Cosimo Bambi (Editor-in-Chief) 

Cosimo Bambi is Xie Xide Junior Chair Professor at the Department of Physics at Fudan University. He received the Laurea degree from Florence University in 2003 and the PhD degree from Ferrara University in 2007. He was appointed as a postdoctoral researcher at IPMU/The University of Tokyo and at LMU Munich. He joined Fudan University at the end of 2012 under the 1000 Young Talents Program. He has received numerous awards, including the Magnolia Silver Award from the Municipality of Shanghai in 2018 and a JSPS Invitation Fellowship from the Japan Society for the Promotion of Science in 2016. 

Professor Bambi has worked on a number of topics in the fields of high-energy astrophysics, particle cosmology, and gravity. He has published over 200 papers on refereed journals and authored/edited several academic books with Springer: "Introduction to Particle Cosmology: The Standard Model of Cosmology and its Open Problems" (Springer-Verlag Heidelberg Berlin, 2016), "Astrophysics of Black Holes: From Fundamental Aspects to Latest Developments" (Springer-Verlag Heidelberg Berlin, 2016), "Black Holes: A Laboratory for Testing Strong Gravity" (Springer Singapore, 2017), "Introduction to General Relativity: A Course for Undergraduate Students of Physics" (Springer Singapore, 2018), "Tutorial Guide to X-ray and Gamma-ray Astronomy: Data Reduction and Analysis" (Springer Singapore, 2020), and "Handbook of Gravitational Wave Astronomy" (Springer Singapore, 2022)

Leonardo Modesto is Associate Professor at the Department of Physics at Southern University of Science and Technology (SUSTech). He received the Laurea degree from Pisa University in 2000 and the PhD degree from Turin University in 2004. He was appointed as a postdoctoral researcher at Turin University, at CNRS in Marseille, at Bologna University, and at the Perimeter Institute for Theoretical Physics. He worked as Associate Professor at Fudan University from 2012 to 2016 and moved to SUSTech in 2016. Professor Modesto works on a number of topics in theoretical high-energy physics, ranging from quantum gravity to cosmology and particle physics.

Ilya Shapiro is professor at the Federal University of Juiz de Fora (Minas Gerais, Brazil) and also level 1A fellow of the productivity grant from CNPq (main national agency of supporting science in Brazil). He graduated from high school in the city of Pavlodar in Kazakhstan, USSR and went to study in the Physics Department of the Tomsk State University, Russia. After graduating in 1981 he defended Ph.D. in physical and mathematical sciences in 1985. Between 1984 and 1987 worked as assistant professor at the Department of Mathematics at Tomsk Medical Institute, and from 1987 as accociated professor at Tomsk State Pedagogical Institute (now University). In 1993 got highest degree (Doctor of Science) at Tomsk State University. Between 1994 and 1996 was research visitor at the University of Zaragoza, Spain. starting from 1996 was visiting professor at Federal University of Juiz de Fora where became permanent in 2000. From 2015 to 2018 was a member of the CNPq Physics and Astronomy Board and from 2018 is one of responsibles for Quantum Field Theory in the Brazilian Physical Society.

Prof. Shapiro supervised and co-supervised a number of theses and dissertations, including 13 Ph.D. theses. He is author and co-author of 170+ articles and of several books, including I.L. Buchbinder et al, "Effective Action In Quantum Gravity", IOPP/1992, with more than 900 citations in the ISI, "Introduction to Classical Mechanics", together with G. de Berredo-Peixoto, Livraria da Física/2011, 2nd edition in 2016 , English translation published in Springer/NY in 2013, "A Primer in Tensor Analysis and Relativity" (Springer/NY, 2019), "Introduction to Quantum Field Theory with Applications to Quantum Gravity", together with I.L. Buchbinder (Oxford Un. Press, 2021).