Lattice gauge fields, principal bundles and the calculation of topological charge

DOI10.1007/BF01211167zbMath0597.53065MaRDI QIDQ1079214

Anthony V. Phillips, David A. Stone

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmtopological chargeYang-Mills gauge fieldssecond Chern numbersimplicial lattice

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05)

Related Items

The family Floer functor is faithful, Topological charge of (lattice) gauge fields, Connections on discrete fibre bundles, The computation of characteristic classes of lattice gauge fields, Thin homotopy and the holonomy approach to gauge theories, Topology of \(\mathrm{SU}(N)\) lattice gauge theories coupled with \(\mathbb{Z}_N\) 2-form gauge fields, Topological lattice actions, The sphaleron rate in SU(\(N\)) gauge theory, 3D \(\mathcal = 1\) SYM Chern-Simons theory on the lattice, Continuum gauge fields from lattice gauge fields, Group quasi-representations and almost flat bundles, Macroscopic observables from the comparison of local reference systems, Properties and uses of the Wilson flow in lattice QCD, A new approach to computing Chern classes of \(\text{U}(p)\)-valued lattice gauge fields, Abelian monopoles in \(\text{SU}_2\)-valued lattice gauge-Higgs systems, Chern-Simons on a lattice, Confinement and the dynamics of magnetic monopoles, Instantons in QCD, A combinatorial Chern-Weil theorem for 2-plane bundles with even Euler characteristics, Winding numbers for SU(3) lattice gauge fields, Weyl fermions on the lattice and the non-abelian gauge anomaly, An algorithm for detecting abelian monopoles in \(SU_ 2\)-valued lattice gauge-Higgs systems, Overlap fermions, improved cooling and the lattice index theorem, Discrete Yang-Mills connections

Cites Work

• Characteristic numbers of \(U_ 1\)-valued lattice gauge fields
• Topology of lattice gauge fields
• Characteristic Classes. (AM-76)
• Differential Topology
• The Existence of Combinatorial Formulae for Characteristic Classes
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