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hep-lat2024
Exact space-time symmetry conservation and automatic mesh refinement for classical lattice field theory
A. Rothkopf, W. A. Horowitz, J. Nordström
The breaking of space-time symmetries and the non-conservation of the associated Noether charges constitutes a central artifact in lattice field theory. In prior work we have shown…
math-ph2024
Even More Generalized Hamiltonian Dynamics
W. A. Horowitz, A. Rothkopf
We establish the procedure to derive from an action-based variational principle the classical equations of motion in Hamiltonian phase space of a particle subject to general positi…
math.NA2024★ 2 cited
Exact symmetry conservation and automatic mesh refinement in discrete initial boundary value problems
Alexander Rothkopf, W. A. Horowitz, Jan Nordström
We present a novel solution procedure for initial boundary value problems. The procedure is based on an action principle, in which coordinate maps are included as dynamical degrees…