21 citations · 129 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
Slice theorem and orbit type stratification in infinite dimensions
Tobias Diez, Gerd Rudolph
We establish a general slice theorem for the action of a locally convex Lie group on a locally convex manifold, which generalizes the classical slice theorem of Palais to infinite…
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…