Gauge Field Theory in Natural Geometric Language

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.

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