Discrete gauge theory :: from lattices to TQFT /
This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic m...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London :
Imperial College Press,
2005.
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Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork. |
Beschreibung: | 1 online resource (xii, 202 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 1860947379 9781860947377 9781860945793 1860945791 1281867004 9781281867001 9786611867003 6611867007 |
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100 | 1 | |a Oeckl, Robert. | |
245 | 1 | 0 | |a Discrete gauge theory : |b from lattices to TQFT / |c Robert Oeckl. |
260 | |a London : |b Imperial College Press, |c 2005. | ||
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505 | 0 | |a Preface; Contents; 1. Quantization of Discretized Gauge Theories; 2. Topology: Decomposition of Manifolds; 3. Categories and Diagrams; 4. Representation Theory: Groups & Hopf Algebras; 5. Cellular Gauge Theory; 6. Topological Quantum Field Theory; 7. Related Constructions; 8. Applications to Lattice Models and Quantum Gravity; References; Index. | |
520 | |a This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork. | ||
546 | |a English. | ||
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650 | 0 | |a Quantum gravity. |0 http://id.loc.gov/authorities/subjects/sh85109463 | |
650 | 0 | |a Hopf algebras. |0 http://id.loc.gov/authorities/subjects/sh85061931 | |
650 | 6 | |a Champs de jauge (Physique) | |
650 | 6 | |a Groupes quantiques. | |
650 | 6 | |a Théorie quantique des champs. | |
650 | 6 | |a Gravité quantique. | |
650 | 6 | |a Algèbres de Hopf. | |
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650 | 7 | |a Quantum gravity |2 fast | |
650 | 7 | |a Quantum groups |2 fast | |
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author | Oeckl, Robert |
author_facet | Oeckl, Robert |
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contents | Preface; Contents; 1. Quantization of Discretized Gauge Theories; 2. Topology: Decomposition of Manifolds; 3. Categories and Diagrams; 4. Representation Theory: Groups & Hopf Algebras; 5. Cellular Gauge Theory; 6. Topological Quantum Field Theory; 7. Related Constructions; 8. Applications to Lattice Models and Quantum Gravity; References; Index. |
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dewey-sort | 3530.14 235 |
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discipline | Physik |
format | Electronic eBook |
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spelling | Oeckl, Robert. Discrete gauge theory : from lattices to TQFT / Robert Oeckl. London : Imperial College Press, 2005. 1 online resource (xii, 202 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references and index. Print version record. Preface; Contents; 1. Quantization of Discretized Gauge Theories; 2. Topology: Decomposition of Manifolds; 3. Categories and Diagrams; 4. Representation Theory: Groups & Hopf Algebras; 5. Cellular Gauge Theory; 6. Topological Quantum Field Theory; 7. Related Constructions; 8. Applications to Lattice Models and Quantum Gravity; References; Index. This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork. English. Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Champs de jauge (Physique) Groupes quantiques. Théorie quantique des champs. Gravité quantique. Algèbres de Hopf. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Hopf algebras fast Quantum field theory fast Quantum gravity fast Quantum groups fast Print version: Oeckl, Robert. Discrete gauge theory. London : Imperial College Press, 2005 1860945791 (DLC) 2006279480 (OCoLC)62314071 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174589 Volltext |
spellingShingle | Oeckl, Robert Discrete gauge theory : from lattices to TQFT / Preface; Contents; 1. Quantization of Discretized Gauge Theories; 2. Topology: Decomposition of Manifolds; 3. Categories and Diagrams; 4. Representation Theory: Groups & Hopf Algebras; 5. Cellular Gauge Theory; 6. Topological Quantum Field Theory; 7. Related Constructions; 8. Applications to Lattice Models and Quantum Gravity; References; Index. Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Champs de jauge (Physique) Groupes quantiques. Théorie quantique des champs. Gravité quantique. Algèbres de Hopf. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Hopf algebras fast Quantum field theory fast Quantum gravity fast Quantum groups fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85053534 http://id.loc.gov/authorities/subjects/sh90005801 http://id.loc.gov/authorities/subjects/sh85109461 http://id.loc.gov/authorities/subjects/sh85109463 http://id.loc.gov/authorities/subjects/sh85061931 |
title | Discrete gauge theory : from lattices to TQFT / |
title_auth | Discrete gauge theory : from lattices to TQFT / |
title_exact_search | Discrete gauge theory : from lattices to TQFT / |
title_full | Discrete gauge theory : from lattices to TQFT / Robert Oeckl. |
title_fullStr | Discrete gauge theory : from lattices to TQFT / Robert Oeckl. |
title_full_unstemmed | Discrete gauge theory : from lattices to TQFT / Robert Oeckl. |
title_short | Discrete gauge theory : |
title_sort | discrete gauge theory from lattices to tqft |
title_sub | from lattices to TQFT / |
topic | Gauge fields (Physics) http://id.loc.gov/authorities/subjects/sh85053534 Quantum groups. http://id.loc.gov/authorities/subjects/sh90005801 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Quantum gravity. http://id.loc.gov/authorities/subjects/sh85109463 Hopf algebras. http://id.loc.gov/authorities/subjects/sh85061931 Champs de jauge (Physique) Groupes quantiques. Théorie quantique des champs. Gravité quantique. Algèbres de Hopf. SCIENCE Waves & Wave Mechanics. bisacsh Gauge fields (Physics) fast Hopf algebras fast Quantum field theory fast Quantum gravity fast Quantum groups fast |
topic_facet | Gauge fields (Physics) Quantum groups. Quantum field theory. Quantum gravity. Hopf algebras. Champs de jauge (Physique) Groupes quantiques. Théorie quantique des champs. Gravité quantique. Algèbres de Hopf. SCIENCE Waves & Wave Mechanics. Hopf algebras Quantum field theory Quantum gravity Quantum groups |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174589 |
work_keys_str_mv | AT oecklrobert discretegaugetheoryfromlatticestotqft |