Quantengeometrie, Matrixtheorie und Gravitation, , Steinacker, Harold C., sehr gut-
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Standort: Simi Valley, California, USA
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eBay-Artikelnr.:387935596597
Artikelmerkmale
- Artikelzustand
- ISBN
- 9781009440783
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1009440780
ISBN-13
9781009440783
eBay Product ID (ePID)
3065345534
Product Key Features
Book Title
Quantum Geometry, Matrix Theory, and Gravity
Number of Pages
440 Pages
Language
English
Publication Year
2024
Topic
Physics / Mathematical & Computational, Physics / General
Illustrator
Yes
Genre
Science
Format
Hardcover
Dimensions
Item Height
1.1 in
Item Length
10.3 in
Item Width
7.3 in
Additional Product Features
LCCN
2024-002976
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 Edition
23
Dewey Decimal
530.143
Table Of Content
Preface; 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.
Synopsis
Building 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 Number
QC174.17.G46S7 2024
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CRN: 202013333
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