Quantum Geometry, Matrix Theory, and Gravity by Harold C. Steinacker (2024, Hardcover) online kaufen

Über dieses Produkt

Product Identifiers

PublisherCambridge University Press

ISBN-101009440780

ISBN-139781009440783

eBay Product ID (ePID)3065345534

Product Key Features

Book TitleQuantum Geometry, Matrix Theory, and Gravity

Number of Pages440 Pages

LanguageEnglish

TopicPhysics / Mathematical & Computational, Physics / General

Publication Year2024

IllustratorYes

GenreScience

AuthorHarold C. Steinacker

FormatHardcover

Dimensions

Item Height1.1 in

Item Length10.3 in

Item Width7.3 in

Additional Product Features

LCCN2024-002976

Dewey Edition23

Reviews'Based on the author's renowned expertise, this insightful masterpiece delves into noncommutative geometry, matrix models, and their role in string theory and quantum gravity. The book is consistently written from a physics viewpoint with specific examples, offering fresh perspectives and suggesting fascinating possibilities for novice and seasoned researchers alike.' Hikaru Kawai, National Taiwan University, 'Current approaches to the great puzzle of quantum gravity, with demonstrated potential for success, include string theory (or M-theory) and noncommutative geometry. This book masterfully brings together these two approaches, providing a perspective as well as background material. It will be a valuable asset to researchers in quantum gravity.' Parameswaran Nair, The City College of New York, 'This text provides an invaluable introduction to quantum spaces, quantum geometry and matrix models, culminating in in-depth discussions of the IKKT and BFSS matrix models, proposed non-perturbative definitions of superstring theory. I highly recommend this book to anyone seriously interested in these topics.' Robert Brandenberger, McGill University, 'The first complete book that puts together over 25 years of contemporary research connecting noncommutative field theory with gravity. Starting at a suitably pedagogical level for use as a textbook in an advanced graduate-level physics course, it elucidates state-of-the-art developments, making it an invaluable reference source for both novices and experts.' Richard J. Szabo, Heriot-Watt University

Dewey Decimal530.143

Table Of ContentPreface; The trouble with spacetime; Quantum geometry and Matrix theory; Part I. Mathematical Background: 1. Differentiable manifolds; 2. Lie groups and coadjoint orbits; Part II. Quantum Spaces and Geometry: 3. Quantization of symplectic manifolds; 4. Quantum spaces and matrix geometry; 5. Covariant quantum spaces; Part III. Noncommutative field theory and matrix models: 6. Noncommutative field theory; 7. Yang-Mills matrix models and quantum spaces; 8. Fuzzy extra dimensions; 9. Geometry and dynamics in Yang-Mills matrix models; 10. Higher-spin gauge theory on quantum spacetime; Part IV. Matrix Theory and Gravity: 11. Matrix theory: maximally supersymmetric matrix models; 12. Gravity as a quantum effect on quantum spacetime; 13. Matrix quantum mechanics and the BFSS model; Appendixes; References; Index.

SynopsisBuilding on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang-Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.on in a broader context.on in a broader context.on in a broader context., The volume provides an introduction to quantization in a broad context, and a systematic development of quantum geometry in Matrix Theory and string theory. It addresses advanced students and researchers in theoretical physics and mathematics, who are interested in quantum aspects of space-time and geometry in a physical context.

LC Classification NumberQC174.17.G46S7 2024