Geometric and topological methods for quantum field theory:
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric...
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| Weitere Verfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 421 pages) |
| ISBN: | 9780511712135 |
| DOI: | 10.1017/CBO9780511712135 |
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| 245 | 1 | 0 | |a Geometric and topological methods for quantum field theory |c edited by Hernán Ocampo, Eddy Pariguán, Sylvie Paycha |
| 246 | 1 | 3 | |a Geometric & Topological Methods for Quantum Field Theory |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2010 | |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Introduction -- 1. The impact of QFT on low-dimensional topology / Paul Kirk -- 2. Differential equations aspects of quantum cohomology / Martin A. Guest -- 3. Index theory and groupoids / Claire Debord and Jean-Marie Lescure -- 4. Renormalization Hopf algebras and combinatorial groups / Alessandra Frabetti -- 5. BRS invariance for massive boson fields / José M. Gracia-Bondía -- 6. Large N field theories and geometry / David Berenstein -- 7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity / Martin Reuter and Frank Saueressig -- 8. When is a differentiable manifold the boundary of an orbifold? / Andrés Angel -- 9. Canonical group quantization, rotation generators and quantum indistinguishability / Carlos Benavides and Andrés Reyes-Lega -- 10. Conserved currents in Kähler manifolds / Jaime R. Camacaro and Juan Carlos Moreno -- 11. A symmetrized canonical determinant on odd-class pseudodifferential operators / Marie-Françoise Ouedraogo -- 12. Some remarks about cosymplectic metrics on maximal flag manifolds / Marlio Paredes and Sofia Pinzón -- 13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures / Jorge Plazas | |
| 520 | |a Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest | ||
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| 700 | 1 | |a Ocampo, Hernán |4 edt | |
| 700 | 1 | |a Pariguan, Eddy |4 edt | |
| 700 | 1 | |a Paycha, Sylvie |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-76482-7 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511712135 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
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Datensatz im Suchindex
| _version_ | 1804176890888454144 |
|---|---|
| any_adam_object | |
| author2 | Ocampo, Hernán Pariguan, Eddy Paycha, Sylvie |
| author2_role | edt edt edt |
| author2_variant | h o ho e p ep s p sp |
| author_facet | Ocampo, Hernán Pariguan, Eddy Paycha, Sylvie |
| building | Verbundindex |
| bvnumber | BV043945097 |
| classification_rvk | SK 950 |
| collection | ZDB-20-CBO |
| contents | Introduction -- 1. The impact of QFT on low-dimensional topology / Paul Kirk -- 2. Differential equations aspects of quantum cohomology / Martin A. Guest -- 3. Index theory and groupoids / Claire Debord and Jean-Marie Lescure -- 4. Renormalization Hopf algebras and combinatorial groups / Alessandra Frabetti -- 5. BRS invariance for massive boson fields / José M. Gracia-Bondía -- 6. Large N field theories and geometry / David Berenstein -- 7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity / Martin Reuter and Frank Saueressig -- 8. When is a differentiable manifold the boundary of an orbifold? / Andrés Angel -- 9. Canonical group quantization, rotation generators and quantum indistinguishability / Carlos Benavides and Andrés Reyes-Lega -- 10. Conserved currents in Kähler manifolds / Jaime R. Camacaro and Juan Carlos Moreno -- 11. A symmetrized canonical determinant on odd-class pseudodifferential operators / Marie-Françoise Ouedraogo -- 12. Some remarks about cosymplectic metrics on maximal flag manifolds / Marlio Paredes and Sofia Pinzón -- 13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures / Jorge Plazas |
| ctrlnum | (ZDB-20-CBO)CR9780511712135 (OCoLC)967699540 (DE-599)BVBBV043945097 |
| dewey-full | 530.14/301516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/301516 |
| dewey-search | 530.14/301516 |
| dewey-sort | 3530.14 6301516 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511712135 |
| format | Electronic eBook |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Geometric and topological methods for quantum field theory edited by Hernán Ocampo, Eddy Pariguán, Sylvie Paycha Geometric & Topological Methods for Quantum Field Theory Cambridge Cambridge University Press 2010 1 online resource (xii, 421 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction -- 1. The impact of QFT on low-dimensional topology / Paul Kirk -- 2. Differential equations aspects of quantum cohomology / Martin A. Guest -- 3. Index theory and groupoids / Claire Debord and Jean-Marie Lescure -- 4. Renormalization Hopf algebras and combinatorial groups / Alessandra Frabetti -- 5. BRS invariance for massive boson fields / José M. Gracia-Bondía -- 6. Large N field theories and geometry / David Berenstein -- 7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity / Martin Reuter and Frank Saueressig -- 8. When is a differentiable manifold the boundary of an orbifold? / Andrés Angel -- 9. Canonical group quantization, rotation generators and quantum indistinguishability / Carlos Benavides and Andrés Reyes-Lega -- 10. Conserved currents in Kähler manifolds / Jaime R. Camacaro and Juan Carlos Moreno -- 11. A symmetrized canonical determinant on odd-class pseudodifferential operators / Marie-Françoise Ouedraogo -- 12. Some remarks about cosymplectic metrics on maximal flag manifolds / Marlio Paredes and Sofia Pinzón -- 13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures / Jorge Plazas Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest Quantentheorie Geometry, Differential Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Topologische Methode (DE-588)4312758-7 gnd rswk-swf Geometrische Methode (DE-588)4156715-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content 2\p (DE-588)1071861417 Konferenzschrift 2003 Villa de Leyva gnd-content Differentialgeometrie (DE-588)4012248-7 s Quantenfeldtheorie (DE-588)4047984-5 s 3\p DE-604 Geometrische Methode (DE-588)4156715-8 s 4\p DE-604 Topologische Methode (DE-588)4312758-7 s 5\p DE-604 Ocampo, Hernán edt Pariguan, Eddy edt Paycha, Sylvie edt Erscheint auch als Druckausgabe 978-0-521-76482-7 https://doi.org/10.1017/CBO9780511712135 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geometric and topological methods for quantum field theory Introduction -- 1. The impact of QFT on low-dimensional topology / Paul Kirk -- 2. Differential equations aspects of quantum cohomology / Martin A. Guest -- 3. Index theory and groupoids / Claire Debord and Jean-Marie Lescure -- 4. Renormalization Hopf algebras and combinatorial groups / Alessandra Frabetti -- 5. BRS invariance for massive boson fields / José M. Gracia-Bondía -- 6. Large N field theories and geometry / David Berenstein -- 7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity / Martin Reuter and Frank Saueressig -- 8. When is a differentiable manifold the boundary of an orbifold? / Andrés Angel -- 9. Canonical group quantization, rotation generators and quantum indistinguishability / Carlos Benavides and Andrés Reyes-Lega -- 10. Conserved currents in Kähler manifolds / Jaime R. Camacaro and Juan Carlos Moreno -- 11. A symmetrized canonical determinant on odd-class pseudodifferential operators / Marie-Françoise Ouedraogo -- 12. Some remarks about cosymplectic metrics on maximal flag manifolds / Marlio Paredes and Sofia Pinzón -- 13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures / Jorge Plazas Quantentheorie Geometry, Differential Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd Topologische Methode (DE-588)4312758-7 gnd Geometrische Methode (DE-588)4156715-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4312758-7 (DE-588)4156715-8 (DE-588)4012248-7 (DE-588)1071861417 |
| title | Geometric and topological methods for quantum field theory |
| title_alt | Geometric & Topological Methods for Quantum Field Theory |
| title_auth | Geometric and topological methods for quantum field theory |
| title_exact_search | Geometric and topological methods for quantum field theory |
| title_full | Geometric and topological methods for quantum field theory edited by Hernán Ocampo, Eddy Pariguán, Sylvie Paycha |
| title_fullStr | Geometric and topological methods for quantum field theory edited by Hernán Ocampo, Eddy Pariguán, Sylvie Paycha |
| title_full_unstemmed | Geometric and topological methods for quantum field theory edited by Hernán Ocampo, Eddy Pariguán, Sylvie Paycha |
| title_short | Geometric and topological methods for quantum field theory |
| title_sort | geometric and topological methods for quantum field theory |
| topic | Quantentheorie Geometry, Differential Quantum theory Quantenfeldtheorie (DE-588)4047984-5 gnd Topologische Methode (DE-588)4312758-7 gnd Geometrische Methode (DE-588)4156715-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Quantentheorie Geometry, Differential Quantum theory Quantenfeldtheorie Topologische Methode Geometrische Methode Differentialgeometrie Konferenzschrift Konferenzschrift 2003 Villa de Leyva |
| url | https://doi.org/10.1017/CBO9780511712135 |
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