Mathematical gauge theory. With applications to the standard model of particle physics

DOI10.1007/978-3-319-68439-0zbMath1390.81005OpenAlexW4242038705MaRDI QIDQ1675141

Mark J. D. Hamilton

Publication date: 26 October 2017

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-68439-0

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Symmetry breaking in quantum theory (81R40) Spinor and twistor methods applied to problems in quantum theory (81R25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Equivariant homotopy groups (55Q91)

Related Items (10)

Integrability by compensation for Dirac equation ⋮ Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons ⋮ Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ The metric structure of compact rank-one ECS manifolds ⋮ A microscopic analogue of the BMS group ⋮ Born's rule from the principle of unitary equivalence ⋮ Flat gauge fields and the Riemann-Hilbert correspondence ⋮ Bergman-Bourgain-Brezis-type inequality ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Super fiber bundles, connection forms, and parallel transport

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