7 papers
Integrable Non-Holonomic Constraints and Gauge Fixing in Classical Field Theory
Ben Bert, William A. Horowitz
We re-examine the derivation of the equations of motion from an action principle for classical field theories with non-holonomic constraints, \textit{i.e.}, constraints involving d…
Variational approach to nonholonomic and inequality-constrained mechanics
A. Rothkopf, W. A. Horowitz
Variational principles play a central role in classical mechanics, providing compact formulations of dynamics and direct access to conserved quantities. While holonomic systems adm…
Systematic Analytic Regularization in and Yukawa Theories
Jarryd Bath, W. A. Horowitz
We introduce a novel regularization scheme: Systematic Analytic Regularization (SAR). SAR regularizes a theory at the level of the action by analytically continuing the power of th…
From Exact Space-Time Symmetry Conservation to Automatic Mesh Refinement in Discrete Initial Boundary Value Problems
Alexander Rothkopf, W. A. Horowitz, Jan Nordström
In this contribution we present recent developments in the formulation and solution of Initial Boundary Value Problems (IBVPs). Building upon a modern variational action formulatio…
Hamilton Revised: The Action Principle for Initial Value Problems
W. A. Horowitz, A. Rothkopf
We present the variational action principle for initial value problems in classical, conservative-force point particle mechanics. We rigorously derive this formulation by taking th…
The Non-Abelian Casimir Effect for Plates, Symmetrical Tube and Box on the Lattice
B. A. Ngwenya, A. K. Rothkopf, W. A. Horowitz
We present non-perturbative results of the Casimir potential in non-abelian SU(3) gauge theory in (2+1)D and (3+1)D in the confined and deconfined phase. For the first time, geomet…