量子重力ハンドブック（全６巻）
Handbook of Quantum Gravity

Editors: Casimo Bambi, Department of Physics, Fudan University, Shanghai, China, Leonardo Modesto, Department of Physics, Cagliari University, Monserrato (Cagliari), Italy, Ilya Shapiro, Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil

2024:12  6 vols. 4,328 p. 472 illus., 315 in color  ISBN 978-981-9976-80-5 　(Springer) -DE-
EUR 1199.99
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概要

量子重力理論の探究は、現代理論物理学におけるもっとも重要かつ魅力的な問題の一つです。私たちの量子重力の理論は未完成である一方、この数十年で大きな成果が達成されています。量子重力理論は端的に言えば共変的アプローチと正準的アプローチの二つに分けられます。前者では場の量子論の構築を通してアインシュタイン重力を拡張、多くの理論が生まれました。後者では、運動学的なヒルベルト空間の非摂動論的な構築で成果を出しています。

本書は全６巻で構成され、「有効量子重力」、「摂動量子重力」、「漸近的に安全な量子重力」、「非局所量子重力」、「超重力」、「弦理論」、「因果集合」、「因果力学的単体分割」、「ループ量子重力理論とスピンフォーム」の９部を通し、量子重力理論を発展させて主要な手法の最新動向を示します。従来の物理学の観点では、量子重力理論は有効な量子重力効果を直接観測することが現時点では困難であり、すぐには理論を実証できない点が課題です。一方で、量子重力分野の研究は、標準模型の基盤をなすゲージ場の量子理論の発展に大きな貢献をしています。したがって、この領域で蓄積された研究は価値があるという考えを元に、量子重力理論の様々な側面と現存する主要なアプローチへの総説を示すため本書は刊行されました。

ヒッグス粒子の観測や重力波の検出など、理論を実証するための技術的な下地が整備されていく中で、今後20年間にわたって、大学院生向けの価値ある資料であり、量子重力理論コミュニティの研究者にとっての重要なレファレンスになりうる本書を、おすすめいたします。

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収録内容

Volume 1

Part I Effective Quantum Gravity

(Cliff Burgess and John F. Donoghue)

1. Quantum General Relativity and Effective Field Theory (John F. Donoghue)
2. Effective Field Theory for Compact Binary Dynamics (Walter D. Goldberger)
3. Effective Field Theory and Applications(N. Emil J. Bjerrum-Bohr, Ludovic Planté, and Pierre Vanhove)
4. Soft-Collinear Gravity and Soft Theorems (Martin Beneke, Patrick Hager, and Robert Szafron)
5. EFT for de Sitter Space (Daniel Green)
6. Effective Field Theory for Large-Scale Structure(Mikhail M. Ivanov)
7. Gravity, Horizons, and Open EFTs(C. P. Burgess and Greg Kaplanek)

Part II Perturbative Quantum Gravity

(Ilya Shapiro)

8. The Background Information About Perturbative Quantum Gravity(Ilya Shapiro)
9. Gauge Invariant Renormalizability of Quantum Gravity (P. M. Lavrov and Ilya Shapiro)
10. Locally Covariant Approach to Effective Quantum Gravity (Romeo Brunetti, Klaus Fredenhagen, and Kasia Rejzner)
11. One-Loop Divergences in Higher-Derivative Gravity (Nobuyoshi Ohta 太田 信義 台湾国立中央大学)
12. A Primer on Unimodular Gravity (Enrique Álvarez and Eduardo Velasco-Aja)
13. Hõrava Models as Palladium of Unitarity and Renormalizability in Quantum Gravity (Andrei O. Barvinsky)
14. Nonminimal Higgs Inflation and Initial Conditions in Cosmology (Andrei O. Barvinsky and Alexander Yu. Kamenshchik)
15. Quantum Cosmological Gravitational Waves? (Amaury Micheli and Patrick Peter)
16. Black Hole Thermodynamics and Perturbative Quantum Gravity (Dmitri V. Fursaev)

Volume 2

Part III Asymptotically Safe Quantum Gravity

(Roberto Percacci)

17. The Functional Renormalization Group in Quantum Gravity (Frank Saueressig)
18. Quantum Gravity from Dynamical Metric Fluctuations (Jan M. Pawlowski and Manuel Reichert)
19. The Functional f (R) Approximation (Tim R. Morris and Dalius Stulga)
20. Form Factors in Asymptotically Safe Quantum Gravity (Benjamin Knorr, Chris Ripken, and Frank Saueressig)
21. Asymptotic Safety of Gravity with Matter (Astrid Eichhorn and Marc Schiffer)
22. Asymptotic Safety and Cosmology (Alfio Bonanno)
23. Black Holes in Asymptotically Safe Gravity (Alessia Platania)
24. Perturbative Approaches to Nonperturbative Quantum Gravity (Riccardo Martini, Gian Paolo Vacca, and Omar Zanusso)
25. Quantum Gravity and Scale Symmetry in Cosmology (C. Wetterich)

Part IV Nonlocal Quantum Gravity

(Leonardo Modesto)

26. Nonlocal Gauge Theories Including Quantum Gravity (N. V. Krasnikov)
27. Classical and Quantum Nonlocal Gravity (Arnau Bas i Beneito, Gianluca Calcagni, and Lesław Rachwał)
28. Unitarity and Cutkosky Rules in Nonlocal Quantum Field Theory (Fabio Briscese)
29. Stability of Classical Solutions of Nonlocal Gravity (Fabio Briscese)
30. Nonlocal Unified Theory (Leonardo Modesto)
31. Causality and Scattering Amplitudes in Nonlocal Gravity (Stefano Giaccari)
32. Mathematical Aspects of Analytic Infinite Derivative Gravity Theories (Alexey S. Koshelev)
33. Black Holes in Non-local Gravity (Luca Buoninfante, Breno L. Giacchini, and Tibério de Paula Netto)
34. Cosmology in Nonlocal Gravity (Alexey S. Koshelev, K. Sravan Kumar, and Alexei A. Starobinsky)

Volume 3

Part V Supergravity

(Sylvester James Gates and Konstantinos Koutrolikos)

35. Simple Supergravity(Gianguido Dall’Agata and Marco Zagermann)
36. Superspace Approaches to N = 1 Supergravity(Sergei M. Kuzenko, Emmanouil S. N. Raptakis, and Gabriele Tartaglino-Mazzucchelli)
37. Group Manifold Approach to Supergravity (Leonardo Castellani)
38. N = 2 Supergravities in Harmonic Superspace (Evgeny Ivanov)
39. Covariant Superspace Approaches to N = 2 Supergravity (Sergei M. Kuzenko, Emmanouil S. N. Raptakis and Gabriele Tartaglino-Mazzucchelli)
40. 11D Supergravity and Hidden Symmetries (Henning Samtleben)
41. Survey of Supergravities (Ergin Sezgin)
42. Pure Spinors in Classical and Quantum Supergravity (Martin Cederwall)
43. Supergravity Amplitudes, the Double Copy, and Ultraviolet Behavior (Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban)
44. Supergravity: Application in Particle Physics (Florian Domingo and Michel Rausch de Traubenberg)
45. Inflationary Cosmology from Supergravity (Sergei V. Ketov)
46. Non-Lorentzian Supergravity (Eric A. Bergshoeff and Jan Rosseel)

Volume 4

Part VI String Theories

(Carlo Angelantonj and Ignatios Antoniadis)

47. A Lightning Introduction to String Theory (Carlo Angelantonj and Ioannis Florakis)
48. Toroidal and Orbifold Compactifications (Kumar Narain)
49. D-Branes (Constantin Bachas)
50. Anomalies and the Green-Schwarz Mechanism (Luis Álvarez-Gaumé and Miguel Á. Vázquez-Mozo)
51. Pure Spinor Formulation of the Superstring and Its Applications (Nathan Berkovits and Carlos R. Mafra)
52. Superembedding Approach to Superstrings and Super-p-Branes (Igor A. Bandos and Dmitri P. Sorokin)
53. String Field Theory: A Review (Ashoke Sen and Barton Zwiebach)
54. D-Brane and F-Theory Model Building (Fernando Marchesano, Bert Schellekens, and Timo Weigand)
55. Heterotic Orbifold Models (Saúl Ramos-Sánchez and Michael Ratz)
56. Free Fermionic Constructions of Heterotic Strings (Ioannis Florakis and John Rizos)
57. Moduli Stabilization in String Theory (Liam McAllister and Fernando Quevedo)
58. Extra Dimensions and Physics of Low-Scale Strings (Ignatios Antoniadis and Karim Benakli)
59. A Gentle Hike Through the Swampland (Miguel Montero and Gary Shiu)
60. D-Branes for Gauge Theories (Noppadol Mekareeya and Alberto Zaffaroni)
61. The AdS/CFT Correspondence (Juan Maldacena)

Volume 5

Part VII Causal Sets

(Fay Dowker, Rafael D. Sorkin, and Sumati Surya)

62. The Causal Set Approach to the Problem of Quantum Gravity (Fay Dowker and Sumati Surya)
63. The Philosophy of Causal Set Theory (Christian Wüthrich)
64. Estimating the Manifold Dimension of Causal Sets (Finian Ashmead and David D. Reid)
65. On Horizon Molecules and Entropy in Causal Sets (D. Dou)
66. Interacting Quantum Scalar Field Theory on a Causal Set (Ian Jubb)
67. Computer Simulations of Causal Sets (L. Glaser)
68. Causal Set Cosmology (Maqbool Ahmed and Hibatul Shafi)
69. Toward the Emergence of Continuum Spacetime in Causal Set Theory (Abhishek Mathur)
70. Quantum Field Theory on Causal Sets (Nomaan X)
71. Covariant Growth Dynamics (Stav Zalel)
72. Entanglement Entropy and Causal Set Theory (Yasaman K. Yazdi)

Part VIII Causal Dynamical Triangulations
(Jan Ambjørn and Renate Loll)

73. Lattice Quantum Gravity: EDT and CDT (Jan Ambjørn)
74. Lessons from the Mathematics of Two-Dimensional Euclidean Quantum Gravity (Timothy Budd)
75. From Trees to Gravity (Bergfinnur Durhuus, Thordur Jonsson, and John Wheater)
76. The Causality Road from Dynamical Triangulations to Quantum Gravity That Describes Our Universe (Yoshiyuki Watabiki 綿引 芳之　東京科学大学)
77. CDT and Hõrava-Lifshitz QG in Two Dimensions (Yuki Sato　佐藤 悠樹　小山工業高等専門学校)
78. Spectral Observables and Gauge Field Couplings in Causal Dynamical Triangulations (Giuseppe Clemente and Massimo D’Elia)
79. Scalar Fields in Four-Dimensional CDT (Andrzej Görlich)
80. Quantum Curvature as Key to the Quantum Universe (Renate Loll)
81. Landau Theory of Causal Dynamical Triangulations (Dario Benedetti)
82. Semiclassical and Continuum Limits of Four-Dimensional CDT (Jakub Gizbert-Studnicki)

Volume 6

Part IX Loop Quantum Gravity and Spinfoams

(Abhay Ashtekar and Yongge Ma)

83. Emergence of Riemannian Quantum Geometry (Hal M. Haggard, Jerzy Lewandowski, and Hanno Sahlmann)
84. Hamiltonian Theory: Dynamics (Thomas Thiemann and Kristina Giesel)
85. Hamiltonian Theory: Generalizations to Higher Dimensions, Supersymmetry, and Modified Gravity (Norbert Bodendorfer, Konstantin Eder, and Xiangdong Zhang)
86. Spin Foams: Foundations (Jonathan Engle and Simone Speziale)
87. Spinfoams and High-Performance Computing (Pietro Dona, Muxin Han, and Hongguang Liu)
88. Graphical Calculus of Spin Networks (Emanuele Alesci, Ilkka Mäkinen, and Jinsong Yang)
89. Loop Quantum Cosmology: Physics of Singularity Resolution and Its Implications (Bao-Fei Li and Parampreet Singh)
90. Loop Quantum Cosmology: Relation Between Theory and Observations (Ivan Agullo, Anzhong Wang, and Edward Wilson-Ewing)
91. Black Hole Entropy in Loop Quantum Gravity (J. Fernando Barbero G. and Daniele Pranzetti)
92. Quantum Geometry and Black Holes (Rodolfo Gambini, Javier Olmedo, and Jorge Pullin)
93. Spin Foams, Refinement Limit, and Renormalization (Seth K. Asante, Bianca Dittrich, and Sebastian Steinhaus)
94. Corner Symmetry and Quantum Geometry (Laurent Freidel, Marc Geiller, and Wolfgang Wieland)
95. Loop Quantum Gravity and Quantum Information (Eugenio Bianchi and Etera R. Livine)
96. Philosophical Foundations of Loop Quantum Gravity (Carlo Rovelli and Francesca Vidotto)

Index

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