Gauge Field Theory in Natural Geometric Language
A revisitation of mathematical notions of quantum physics
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Product details:
- Edition number 1
- Publisher OUP Oxford
- Date of Publication 5 October 2020
- ISBN 9780198861492
- Binding Hardback
- No. of pages362 pages
- Size 235x165x23 mm
- Weight 714 g
- Language English 51
Categories
Short description:
Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics.
MoreLong description:
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.
In this book, the tidbits are in the details, so often neglected in traditional textbooks. An example is the chapter on detectors, which I liked and appreciated very much.
Table of Contents:
Bundle prolongations and connections
Special algebraic notions
Spinors and Minkowski space
Spinor bundles and spacetime geometry
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
Generalised maps
Special generalised densities on Minkowski spacetime
Multi-particle spaces
Bundles of quantum states
Quantum bundles
Quantum fields
Detectors
Free quantum fields
Electroweak extensions
Basic notions in particle physics
Scattering matrix computations
Quantum electrodynamics
On gauge freedom and interactions
