100 Years of General Relativity - Volume 4 Loop Quantum Gravity The First 30 Years edited by Abhay Ashtekar Pennsylvania State University, USA Jorge Pullin Louisiana State University, USA his volume presents a snapshot of the state-of-the-art in loop Tquantum gravity from the perspective of younger leading researchers. It takes the reader from the basics to recent advances, thereby bridging an important gap. The aim is two-fold — to provide a contemporary introduction to the entire field for students and post-docs, and to present an overview of the current status for more senior researchers. The contributions include the latest developments that are not discussed in existing books, particularly recent advances in quantum dynamics both in the Hamiltonian and sum over histories approaches; and applications to cosmology of the early universe and to the quantum aspects of black holes. Contents Introduction: An Overview (Abhay Ashtekar and Jorge Pullin); Foundations of Loop Quantum Gravity: Quantum Geometry (Kristina Giesel); Quantum Dynamics (Alok Laddha and Madhavan Varadarajan); Spinfoam Gravity (Eugenio Bianchi); Group Field Theory (Daniele Oriti); The Continuum Limit: A Framework for Solving the Theory (Bianca Dittrich); Applications of Loop Quantum Gravity: Loop Quantum Cosmology (Ivan Agullo and Parampreet Singh); Quantum Geometry and Black Holes (J Fernando Barbero G and Alejandro Perez); Loop Quantum Gravity and Observations (Aurélien Barrau and Julien Grain). Readership: Graduate students, researchers and academics interested in theoretical physics and cosmology. 320pp Mar 2017 978-981-3209-92-3 US$98 £81 978-981-3209-93-0(pbk) US$58 £48 Enter WSSLPS20 to enjoy 20% discount! (valid until 31 August 2017) Preferred Publisher for Leading Thinkers 100 Years of General Relativity - Volume 3 decades, was revived towards the end of the century by technical An Introduction to Covariant Quantum progress in the field of the renormalization group. It is now a very Gravity and Asymptotic Safety active field of research, providing an alternative to other approaches by Roberto Percacci (SISSA — International School for to quantum gravity. Advanced Studies, Trieste, Italy) Written by one of the early contributors to this subject, this book This book covers recent developments in the covariant provides a gentle introduction to the relevant ideas and calculational formulation of quantum gravity. Developed in the 1960s techniques. Several explicit calculations gradually bring the reader by Feynman and DeWitt, by the 1980s this approach close to the current frontier of research. The main difficulties and seemed to lead nowhere due to perturbative non- present lines of development are also outlined. renormalizability. The possibility of non-perturbative renormalizability or “asymptotic safety”, originally 312pp Feb 2017 suggested by Weinberg but largely ignored for two 978-981-3207-17-2 US$118 £98 100 Years of General Relativity - Volume 2 Chern–Simons (Super)Gravity “This book is a crystal-clear exposition of the multi-faceted By Mokhtar Hassaine (Universidad de Talca, Chile) & landscape of gravitational Chern-Simons theories written by Jorge Zanelli (Centro de Estudios Científicos, Chile) leading experts on general relativity and quantum field theory. In addition to being a very informative and up-to-date account “In addition to being a very informative and up-to- of topics of continuous interest, the presentation is conceived date account of topics of continuous interest, the so as to highlight very neatly the basic concepts and principles.” presentation is conceived as to highlight very neatly the basic concepts and principles, on the one hand, Il Nuovo Saggiatore and to provide concise and rigorous derivations of 148pp Jan 2016 the most significant features of the various models, 978-981-4730-93-8 US$84 £70 on the other.” Annalisa Marzuoli, Pavia University 100 Years of General Relativity - Volume 1 be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. Numerical Relativity The second part focuses on the application of numerical relativity. A by Masaru Shibata (Kyoto University, Japan) wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes. This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations 844pp Nov 2015 and methods for a solution of Einstein’s equation and 978-981-4699-71-6 US$178 £148 general relativistic matter field equations. This part will 978-981-4699-72-3(pbk) US$85 £71 ORDER FORM Please complete the form and send it to any of our offices below. Alternatively, you can order via our online bookshop at www.worldscientific.com NORTH & SOUTH AMERICA EUROPE & THE MIDDLE EAST ASIA & THE REST OF THE WORLD World Scientific Publishing Co. Inc. World Scientific Publishing (UK) Ltd. World Scientific Publishing Co. Pte. 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