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hep-th2026
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…
math.NA2026
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…
physics.class-ph2026
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…