Gauge Field Theory in Natural Geometric Language: A revisitation of mathematical notions of quantum physics...

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Daniel Canarutto (Mathematical Physicist, Mathematical Physicist, University of Florence)

Gauge Field Theory in Natural Geometric Language

A revisitation of mathematical notions of quantum physics

Daniel Canarutto (Mathematical Physicist, Mathematical Physicist, University of Florence)

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English

Oxford University Press
19 October 2020

Geometry; Mathematical physics

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.

By: Daniel Canarutto (Mathematical Physicist Mathematical Physicist University of Florence)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 165mm, Spine: 24mm
Weight: 714g
ISBN: 9780198861492
ISBN 10: 0198861494
Pages: 368
Publication Date: 19 October 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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

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.

Reviews for Gauge Field Theory in Natural Geometric Language: A revisitation of mathematical notions of quantum physics

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. -- Giuseppe Nardelli, Mathematical Reviews Clippings