Geometric methods for quantum field theory :: proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 /
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, a...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school. |
| Beschreibung: | 1 online resource (vii, 520 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812810571 9812810579 1281956252 9781281956255 9786611956257 6611956255 |
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| 245 | 0 | 0 | |a Geometric methods for quantum field theory : |b proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / |c editors, Hernan Ocampo, Sylvie Paycha, Andres Reyes. |
| 246 | 3 | 0 | |a Proceedings of the summer school, geometric methods for quantum field theory |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (vii, 520 pages) : |b illustrations | ||
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| 520 | |a Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school. | ||
| 505 | 0 | |a Introduction -- Lectures. Lecture 1: Introduction to differentiable manifolds andsymplectic geometry /Tilmann Wurzbacher -- Lecture 2: Spectral properties of the Dirac operator and geometrical structures / Oussama Hijazi -- Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics / Edwin Langmann -- Lecture 4: Heat equation and spectral geometry. Introduction for beginners / Krzysztof Wojciechowski -- Lecture 5: Renormalized traces as a geometric tool /Sylvie Paycha -- Lecture 6: Concepts in gauge theory leading to electricmagnetic duality / Tsou Sheung Tsun -- Lecture 7: An introduction to Seiberg-Witten theory /Hernan Ocampo -- Short communications. Remarks on duality, analytic torsion and Gaussian integration in antisymmetric field theories / Alexander Cardona -- Multiplicative anomaly for the [symbol]-regularized determinant / Catherine Ducourtioux -- On cohomogeneity one Riemannian manifolds / S.M.B. Kashani -- A differentiable calculus on the space of loops and connections / Martin Reiris -- Quantum Hall conductivity and topological invariants / Andres Reyes -- Determinant of the Dirac operator over the interval [symbol] / Fabian Torres-Ardila. | |
| 546 | |a English. | ||
| 650 | 0 | |a Quantum field theory |v Congresses. | |
| 650 | 0 | |a Field theory (Physics) |v Congresses. | |
| 650 | 6 | |a Théorie quantique des champs |v Congrès. | |
| 650 | 6 | |a Théorie des champs (Physique) |v Congrès. | |
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| 650 | 7 | |a Quantum field theory |2 fast | |
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| 700 | 1 | |a Ocampo, Hernan. | |
| 700 | 1 | |a Paycha, Sylvie. |0 http://id.loc.gov/authorities/names/no2002036818 | |
| 700 | 1 | |a Reyes, Andres. | |
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| 776 | 0 | 8 | |i Print version: |t Geometric methods for quantum field theory. |d Singapore ; River Edge, N.J. : World Scientific, ©2001 |w (DLC) 2001275421 |
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| contents | Introduction -- Lectures. Lecture 1: Introduction to differentiable manifolds andsymplectic geometry /Tilmann Wurzbacher -- Lecture 2: Spectral properties of the Dirac operator and geometrical structures / Oussama Hijazi -- Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics / Edwin Langmann -- Lecture 4: Heat equation and spectral geometry. Introduction for beginners / Krzysztof Wojciechowski -- Lecture 5: Renormalized traces as a geometric tool /Sylvie Paycha -- Lecture 6: Concepts in gauge theory leading to electricmagnetic duality / Tsou Sheung Tsun -- Lecture 7: An introduction to Seiberg-Witten theory /Hernan Ocampo -- Short communications. Remarks on duality, analytic torsion and Gaussian integration in antisymmetric field theories / Alexander Cardona -- Multiplicative anomaly for the [symbol]-regularized determinant / Catherine Ducourtioux -- On cohomogeneity one Riemannian manifolds / S.M.B. Kashani -- A differentiable calculus on the space of loops and connections / Martin Reiris -- Quantum Hall conductivity and topological invariants / Andres Reyes -- Determinant of the Dirac operator over the interval [symbol] / Fabian Torres-Ardila. |
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| genre | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn646768790 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:17Z |
| institution | BVB |
| isbn | 9789812810571 9812810579 1281956252 9781281956255 9786611956257 6611956255 |
| language | English |
| oclc_num | 646768790 |
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| physical | 1 online resource (vii, 520 pages) : illustrations |
| psigel | ZDB-4-EBA |
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| publisher | World Scientific, |
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| spelling | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / editors, Hernan Ocampo, Sylvie Paycha, Andres Reyes. Proceedings of the summer school, geometric methods for quantum field theory Singapore ; River Edge, N.J. : World Scientific, ©2001. 1 online resource (vii, 520 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references. Print version record. Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school. Introduction -- Lectures. Lecture 1: Introduction to differentiable manifolds andsymplectic geometry /Tilmann Wurzbacher -- Lecture 2: Spectral properties of the Dirac operator and geometrical structures / Oussama Hijazi -- Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics / Edwin Langmann -- Lecture 4: Heat equation and spectral geometry. Introduction for beginners / Krzysztof Wojciechowski -- Lecture 5: Renormalized traces as a geometric tool /Sylvie Paycha -- Lecture 6: Concepts in gauge theory leading to electricmagnetic duality / Tsou Sheung Tsun -- Lecture 7: An introduction to Seiberg-Witten theory /Hernan Ocampo -- Short communications. Remarks on duality, analytic torsion and Gaussian integration in antisymmetric field theories / Alexander Cardona -- Multiplicative anomaly for the [symbol]-regularized determinant / Catherine Ducourtioux -- On cohomogeneity one Riemannian manifolds / S.M.B. Kashani -- A differentiable calculus on the space of loops and connections / Martin Reiris -- Quantum Hall conductivity and topological invariants / Andres Reyes -- Determinant of the Dirac operator over the interval [symbol] / Fabian Torres-Ardila. English. Quantum field theory Congresses. Field theory (Physics) Congresses. Théorie quantique des champs Congrès. Théorie des champs (Physique) Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Field theory (Physics) fast Quantum field theory fast Conference papers and proceedings fast Ocampo, Hernan. Paycha, Sylvie. http://id.loc.gov/authorities/names/no2002036818 Reyes, Andres. has work: Geometric methods for quantum field theory (Text) https://id.oclc.org/worldcat/entity/E39PCGbdj7PvVBcvq3wKPb8JwC https://id.oclc.org/worldcat/ontology/hasWork Print version: Geometric methods for quantum field theory. Singapore ; River Edge, N.J. : World Scientific, ©2001 (DLC) 2001275421 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235906 Volltext |
| spellingShingle | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / Introduction -- Lectures. Lecture 1: Introduction to differentiable manifolds andsymplectic geometry /Tilmann Wurzbacher -- Lecture 2: Spectral properties of the Dirac operator and geometrical structures / Oussama Hijazi -- Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics / Edwin Langmann -- Lecture 4: Heat equation and spectral geometry. Introduction for beginners / Krzysztof Wojciechowski -- Lecture 5: Renormalized traces as a geometric tool /Sylvie Paycha -- Lecture 6: Concepts in gauge theory leading to electricmagnetic duality / Tsou Sheung Tsun -- Lecture 7: An introduction to Seiberg-Witten theory /Hernan Ocampo -- Short communications. Remarks on duality, analytic torsion and Gaussian integration in antisymmetric field theories / Alexander Cardona -- Multiplicative anomaly for the [symbol]-regularized determinant / Catherine Ducourtioux -- On cohomogeneity one Riemannian manifolds / S.M.B. Kashani -- A differentiable calculus on the space of loops and connections / Martin Reiris -- Quantum Hall conductivity and topological invariants / Andres Reyes -- Determinant of the Dirac operator over the interval [symbol] / Fabian Torres-Ardila. Quantum field theory Congresses. Field theory (Physics) Congresses. Théorie quantique des champs Congrès. Théorie des champs (Physique) Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Field theory (Physics) fast Quantum field theory fast |
| title | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / |
| title_alt | Proceedings of the summer school, geometric methods for quantum field theory |
| title_auth | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / |
| title_exact_search | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / |
| title_full | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / editors, Hernan Ocampo, Sylvie Paycha, Andres Reyes. |
| title_fullStr | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / editors, Hernan Ocampo, Sylvie Paycha, Andres Reyes. |
| title_full_unstemmed | Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / editors, Hernan Ocampo, Sylvie Paycha, Andres Reyes. |
| title_short | Geometric methods for quantum field theory : |
| title_sort | geometric methods for quantum field theory proceedings of the summer school villa de leyva colombia 12 30 july 1999 |
| title_sub | proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 / |
| topic | Quantum field theory Congresses. Field theory (Physics) Congresses. Théorie quantique des champs Congrès. Théorie des champs (Physique) Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Field theory (Physics) fast Quantum field theory fast |
| topic_facet | Quantum field theory Congresses. Field theory (Physics) Congresses. Théorie quantique des champs Congrès. Théorie des champs (Physique) Congrès. SCIENCE Waves & Wave Mechanics. Field theory (Physics) Quantum field theory Conference papers and proceedings |
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