Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields

DOI10.1007/978-94-024-0959-8zbMath1364.53001OpenAlexW4234319906MaRDI QIDQ313387

Gerd Rudolph, Matthias Schmidt

Publication date: 9 September 2016

Published in: Theoretical and Mathematical Physics (Cham) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-024-0959-8

zbMATH Keywords

cohomologymatter fieldsDirac operatorsClifford algebrasgauge theoryconnectionsspin structuresfibre bundlesYang-Mills equationhomotopy theoryHodge theoryanalysis on manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Topology of vector bundles and fiber bundles (57R22) Connections (general theory) (53C05)

Related Items (15)

Dynamic tensor approximation of high-dimensional nonlinear PDEs ⋮ Deformation quantization and homological reduction of a lattice gauge model ⋮ A modification of Faddeev–Popov approach free from Gribov ambiguity ⋮ A uniqueness result for the Calderón problem for \(U(N)\)-connections coupled to spinors ⋮ Material affine connections for growing solids ⋮ Singular symplectic cotangent bundle reduction of gauge field theory ⋮ Adjoint orbits, generalised parallelisable spaces and consistent truncations ⋮ Contorsion of material connection in growing solids ⋮ Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories ⋮ The Riemann curvature tensor and Higgs scalar field within CAM theory ⋮ Quantum dynamics of the classical harmonic oscillator ⋮ Normal form of equivariant maps in infinite dimensions ⋮ Lévy processes on smooth manifolds with a connection ⋮ Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model

This page was built for publication: Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields