21 citations · 129 across the 22 of their papers we have counts for
13 papers · 1 filter
On a connection used in deformation quantization
G. Rudolph, M. Schmidt
Using natural lifting operations, we give a coordinate-free proof of the fact that the connection used by Bordemann, Neumaier and Waldmann to construct the Fedosov standard ordered…
Deformation quantization and homological reduction of a lattice gauge model
Markus J. Pflaum, Gerd Rudolph, Matthias Schmidt
For a compact Lie group we consider a lattice gauge model given by the -Hamiltonian system which consists of the cotangent bundle of a power of with its canonical symple…
Stratified structure of the observable algebra of Hamiltonian lattice gauge theory
Sebastian Knappe, Gerd Rudolph, Matthias Schmidt
We consider Kaehler quantized models whose underlying classical phase space has a stratified structure induced from the Hamiltonian action of a compact Lie group. We show how to im…
Singular symplectic cotangent bundle reduction of gauge field theory
Tobias Diez, Gerd Rudolph
We prove a theorem on singular symplectic cotangent bundle reduction in the Fréchet setting and apply it to Yang-Mills-Higgs theory with special emphasis on the Higgs sector of the…
Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories
Tobias Diez, Gerd Rudolph
Inspired by the Clebsch optimal control problem, we introduce a new variational principle that is suitable for capturing the geometry of relativistic field theories with constraint…
The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory
Erik Fuchs, Peter D Jarvis, Gerd Rudolph +1
We construct the Hilbert space costratification of -quantum gauge theory on a finite spatial lattice in the Hamiltonian approach. We build on previous work where…