Gauge field theory in natural geometric language a revisitation of mathematical notions of quantum physics / Daniel Canarutto.
| Author/creator | Canarutto, Daniel |
| Other author | Oxford University Press. |
| Format | Electronic |
| Edition | First edition. |
| Publication Info | Oxford ; New York : Oxford University Press, 2020. |
| Description | xxix, 331 pages : illustrations ; 24 cm |
| Supplemental Content | Full text available from Oxford Scholarship Online |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Contents | Part 1. Classical geometry -- Bundle prolongations and connections -- Special algebraic notions -- Spinors and Minkowski space -- Spinor bundles and spacetime geometry -- Part 2. Pre-quantum field theory -- Classical gauge field theory -- Gauge field theory and gravitation -- Optical geometry -- Electroweak geometry and fields -- First-order theory of fields with arbitrary spin -- Infinitesimal deformations of ECD fields -- Part 3. Quantum geometry -- Generalised maps -- Special generalised densities on Minkowski spacetime -- Multi-particle spaces -- Bundles of quantum states -- Quantum bundles -- Part 3. Quantum fields -- Quantum fields -- Detectors -- Free quantum fields -- Electroweak extensions -- Basic notions in particle physics -- Scattering matrix computations -- Quantum electrodynamics -- On gauge freedom and interactions. |
| Abstract | "Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a brief, integrated approach that exploits standard and non-standard notions, as well as recent advances, in a natural geometric language in which the role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. In proposing an original bridge between physics and mathematics, this text will appeal not only to mathematicians who wish to understand some of the basic ideas involved in quantum particle physics, but also to physicists who are not satisfied with the usual mathematical presentations of their field."- publisher |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2020945386 |
| ISBN | 0198861494 hardback |
| ISBN | 9780198861492 hardback |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |