GAUGE FIELD THEORY WITHOUT GROUPS C

1. Auflage 2020
ISBN: 978-0-19-886149-2
Verlag: ACADEMIC

Buch, Englisch, 362 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 708 g

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.

Autoren/Hrsg.

Canarutto, Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

- 1: Bundle prolongations and connections

- 2: Special algebraic notions

- 3: Spinors and Minkowski space

- 4: Spinor bundles and spacetime geometry

- 5: Classical gauge field theory

- 6: Gauge field theory and gravitation

- 7: Optical geometry

- 8: Electroweak geometry and fields

- 9: First-order theory of fields with arbitrary spin

- 10: Infinitesimal deformations of ECD fields

- 11: Generalised maps

- 12: Special generalised densities on Minkowski spacetime

- 13: Multi-particle spaces

- 14: Bundles of quantum states

- 15: Quantum bundles

- 16: Quantum fields

- 17: Detectors

- 18: Free quantum fields

- 19: Electroweak extensions

- 20: Basic notions in particle physics

- 21: Scattering matrix computations

- 22: Quantum electrodynamics

- 23: On gauge freedom and interactions

Über Autor(innen)

Daniel Canarutto is a mathematical physicist interested in the clarification of mathematical notions of fundamental physics, using natural differential geometry as the main tool. His earlier work includes results about the geometry of spacetime singularities. Since 1993 he has focused on basic notions underlying quantum physics, revisiting several aspects within partly original approaches to spinor geometry, distributional bundles and other geometry-related topics.