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.
Author(s): Daniel Canarutto
Publisher: Oxford University Press
Year: 2020
Language: English
Pages: 368
City: New York
Title_Pages
Dedication
Foreword
Notations
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
Firstorder_Theory_of_Fields_with_Arbitrary_Spin
Infinitesimal_Deformations_of_ECD_Fields
Generalized_Maps
Special_Generalized_Densities_on_Minkowski_Spacetime
Multiparticle_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
References
Index
