Euclidean Quantum Gravity: A Survey of Euclidean Approach to Quantum Gravity by Gibbons G W – Including Black Holes, Wor

Introduction

Euclidean Quantum Gravity by Gibbons G W is a seminal work that delves into the profound intersection of general relativity and quantum mechanics, offering a rigorous exploration of the Euclidean approach to quantum gravity. This hardcover volume, published by World Scientific Publishing Company, stands as a cornerstone reference for advanced students, researchers, and physicists seeking a deeper understanding of how path integrals over Riemannian metrics can illuminate the quantum behaviour of spacetime. Written in clear, scholarly English, this book is an indispensable resource for Indian readers pursuing higher studies in theoretical physics, cosmology, and mathematical sciences.

Book Overview

This collection compiles survey lectures and reprinted seminal papers that systematically explain the Euclidean formulation of quantum gravity. Instead of the traditional Lorentzian approach, the Euclidean method expresses the Feynman path integral as a sum over Riemannian metrics, providing a powerful framework for tackling non-perturbative aspects of gravity. The book bridges classical concepts with quantum phenomena, making it a vital text for those exploring the foundations of spacetime physics. With its comprehensive coverage, it serves as both a textbook and a reference manual for graduate-level courses and self-study.

Key Highlights

• Foundational Lectures: Includes detailed survey lectures that introduce the Euclidean approach step by step, perfect for building a solid conceptual base.
• Reprinted Classics: Features key reprints of influential papers that shaped the field, offering direct access to original insights.
• Advanced Topics: Covers black hole thermodynamics, quantum cosmology, wormholes, and gravitational instantons with mathematical rigour.
• Comprehensive Scope: Integrates topological ideas, path integral methods, and the role of boundary conditions in quantum gravity.
• Indian Context: Relevant for students preparing for research in Indian institutes like IISc, IITs, TIFR, and other centres of theoretical physics.

Inside the Book

The content is organised into thematic sections that progress from foundational principles to advanced applications. Early chapters establish the Euclidean formalism, explaining why Riemannian metrics are used and how the path integral avoids singularities. Subsequent sections explore black hole physics, where the Euclidean method reveals the thermodynamic nature of horizons. The book then ventures into quantum cosmology, examining the wave function of the universe and the no-boundary proposal. Wormholes and gravitational instantons are discussed in depth, highlighting their roles in topology change and quantum field theory. Each chapter is supported by mathematical derivations and conceptual summaries, making complex ideas accessible.

Key Topics

• Euclidean Path Integral: Formulation of quantum gravity as a sum over Riemannian four-manifolds.
• Black Hole Thermodynamics: Euclidean derivation of Hawking temperature and black hole entropy.
• Quantum Cosmology: The Hartle-Hawking wave function and boundary conditions of the universe.
• Wormholes and Topology Change: Euclidean instantons connecting different spacetime regions.
• Gravitational Instantons: Self-dual metrics and their role in non-perturbative effects.
• Heat Kernel and Zeta Function: Regularisation techniques in curved spacetime.
• Asymptotic Structures: Boundary terms and the action principle in Euclidean gravity.

Reader Benefits

• Deep Conceptual Clarity: Gain a thorough understanding of how Euclidean methods revolutionise quantum gravity.
• Research Readiness: Equips students with tools to tackle advanced research problems in theoretical physics.
• Historical Perspective: Learn from the original papers that defined the field.
• Mathematical Rigour: Develop proficiency in path integrals, topology, and differential geometry applied to gravity.
• Exam and Interview Preparation: Ideal for Indian students preparing for NET, GATE, JEST, and PhD interviews in physics.

Learning Outcomes

By studying this book, readers will be able to formulate quantum gravity using Euclidean path integrals, compute black hole thermodynamics from first principles, analyse quantum cosmological models, and understand the role of instantons in topology change. They will also gain the ability to critically evaluate contemporary literature in quantum gravity and apply these techniques to open problems in cosmology and high-energy physics.

Who Should Read

• Graduate Students: Those pursuing MSc or PhD in theoretical physics, especially at Indian universities and research institutes.
• Researchers: Academics and postdoctoral fellows working on quantum gravity, black holes, or cosmology.
• Advanced Undergraduates: Final-year BSc students with a strong background in general relativity and quantum field theory.
• Physics Enthusiasts: Self-learners who have mastered basic quantum mechanics and relativity and wish to explore frontier topics.

About the Author

Gibbons G W is a distinguished theoretical physicist known for his pioneering contributions to general relativity, black hole physics, and quantum gravity. A long-time member of the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, he has co-authored numerous influential papers and edited key volumes. His work on Euclidean quantum gravity, black hole thermodynamics, and gravitational instantons has shaped modern understanding of spacetime. This book reflects his deep expertise and pedagogical clarity, making complex ideas accessible to serious students.

About the Publisher

World Scientific Publishing Company is a leading international academic publisher based in Singapore, renowned for its high-quality books in science, technology, and mathematics. With a strong presence in India, World Scientific provides authoritative texts used in premier institutions like IITs, IISc, TIFR, and central universities. Their commitment to rigorous peer review and scholarly excellence ensures that every publication, including this volume, meets the highest academic standards.

Conclusion

Euclidean Quantum Gravity is more than a book; it is a gateway to understanding the quantum structure of spacetime. For Indian students and researchers aiming to excel in theoretical physics, this hardcover edition offers enduring value—both as a learning tool and a reference. Whether you are preparing for competitive exams, embarking on a research project, or expanding your intellectual horizons, this volume will deepen your grasp of one of physics' most challenging and rewarding subjects. Order your copy from Bookshops.in today and take a decisive step toward mastering the quantum universe.