Quantum geometry, matrix theory, and gravity:
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 hel...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore
Cambridge University Press
2024
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | 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. |
| Physical Description: | xvi, 402 Seiten |
| ISBN: | 9781009440783 |
Staff View
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| 520 | 3 | |a 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. | |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781009440783 |
| language | English |
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| physical | xvi, 402 Seiten |
| publishDate | 2024 |
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| publisher | Cambridge University Press |
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| spelling | Steinacker, Harold C. 1968- Verfasser (DE-588)1334229414 aut Quantum geometry, matrix theory, and gravity Harold C. Steinacker, University of Vienna, Austria Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore Cambridge University Press 2024 xvi, 402 Seiten txt rdacontent n rdamedia nc rdacarrier 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. Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Matrix-Modell (DE-588)4518453-7 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Stringtheorie (DE-588)4224278-2 gnd rswk-swf Gravitation (DE-588)4021908-2 gnd rswk-swf Geometric quantization Gravity / Mathematical models String models Matrices Geometrische Quantisierung (DE-588)4156720-1 s Quantenfeldtheorie (DE-588)4047984-5 s Matrix-Modell (DE-588)4518453-7 s Gravitation (DE-588)4021908-2 s Stringtheorie (DE-588)4224278-2 s DE-604 Erscheint auch als Online-Ausgabe 978-1-009-44077-6 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035219638&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Steinacker, Harold C. 1968- Quantum geometry, matrix theory, and gravity Quantenfeldtheorie (DE-588)4047984-5 gnd Matrix-Modell (DE-588)4518453-7 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Stringtheorie (DE-588)4224278-2 gnd Gravitation (DE-588)4021908-2 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4518453-7 (DE-588)4156720-1 (DE-588)4224278-2 (DE-588)4021908-2 |
| title | Quantum geometry, matrix theory, and gravity |
| title_auth | Quantum geometry, matrix theory, and gravity |
| title_exact_search | Quantum geometry, matrix theory, and gravity |
| title_full | Quantum geometry, matrix theory, and gravity Harold C. Steinacker, University of Vienna, Austria |
| title_fullStr | Quantum geometry, matrix theory, and gravity Harold C. Steinacker, University of Vienna, Austria |
| title_full_unstemmed | Quantum geometry, matrix theory, and gravity Harold C. Steinacker, University of Vienna, Austria |
| title_short | Quantum geometry, matrix theory, and gravity |
| title_sort | quantum geometry matrix theory and gravity |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd Matrix-Modell (DE-588)4518453-7 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Stringtheorie (DE-588)4224278-2 gnd Gravitation (DE-588)4021908-2 gnd |
| topic_facet | Quantenfeldtheorie Matrix-Modell Geometrische Quantisierung Stringtheorie Gravitation |
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