Topology, geometry and Gauge fields : interactions
This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometr...
Sparad:
| Huvudupphovsman: | |
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| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Upplaga: | Second edition. |
| Serie: | Applied Mathematical Sciences
141 |
| Ämnen: | |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
Description d'après consultation du 10 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topology, geometry and gauge fields, interactions, Gregory L. Naber, Second edition, 2011, New York, Springer, 1 vol. (XII-419 p.), Applied mathematical sciences, 978-1-4419-7894-3 • Topology, geometry and gauge fields, interactions, Gregory L. Naber, Second edition, 2011, New York, Springer, 1 vol. (XII-419 p.), Applied mathematical sciences, 978-1-4419-7894-3 • Topology, Geometry and Gauge fields, Texte imprimé, 9781461428381 • Topology, Geometry and Gauge fields, Texte imprimé, 9781441978967 • Topology, Geometry and Gauge fields, Texte imprimé, 9781071601228 |
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| 100 | 1 | |a Naber, Gregory L., |d 1948- | |
| 245 | 1 | 0 | |a Topology, geometry and Gauge fields : |b interactions |c Gregory L. Naber. |
| 250 | |a Second edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Applied Mathematical Sciences |v 141 |x 2196-968X | |
| 500 | |a Description d'après consultation du 10 mai 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 457-461 Index p. 468-474 | ||
| 505 | 1 | |a Preface Acknowledgements Geometrical Background Physical Motivation Frame Bundles and Spacetime Differential Forms and Integration Introduction de Rham Cohomology Introduction Characteristic Classes Appendix References Symbols Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second Stiefel-Whitney class. This second edition of the book includes, in an Appendix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physics and its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit. Reviews of first edition: Naber s goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory. (SIAM Review) The presentation is enriched by detailed discussions about the physical interpretations of connections, their curvatures and characteristic classes. I particularly enjoyed Chapter 2 where many fundamental physical examples are discussed at great length in a reader friendly fashion. No detail is left to the reader s imagination or interpretation. I am not aware of another source where these very important examples and ideas are presented at a level accessible to beginners. (Mathematical Reviews) | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Topologie différentielle | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 181174243 |t Topology, geometry and gauge fields |o interactions |f Gregory L. Naber |e Second edition |d 2011 |c New York |n Springer |p 1 vol. (XII-419 p.) |s Applied mathematical sciences |z 978-1-4419-7894-3 | |
| 776 | 0 | |0 181174243 |t Topology, geometry and gauge fields |o interactions |f Gregory L. Naber |e Second edition |d 2011 |c New York |n Springer |p 1 vol. (XII-419 p.) |s Applied mathematical sciences |z 978-1-4419-7894-3 | |
| 776 | 0 | |t Topology, Geometry and Gauge fields |b Texte imprimé |z 9781461428381 | |
| 776 | 0 | |t Topology, Geometry and Gauge fields |b Texte imprimé |z 9781441978967 | |
| 776 | 0 | |t Topology, Geometry and Gauge fields |b Texte imprimé |z 9781071601228 | |
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