2 citations · 4 across the 11 of their papers we have counts for
11 papers
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…
Coherent State Path Integral Reveals Unexpected Vacuum Structure in Thermal Field Theory
Rens Roosenstein, Maximilian Attems, W. A. Horowitz
We construct the path integral formulation of the partition function for a free scalar thermal field theory using coherent states, first in the ladder operator basis and then in 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…
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…
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…
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…
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…
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…
NLO finite system size corrections to scattering in theory using newly derived sum of sinc functions
J. F. Du Plessis, W. A. Horowitz
Previously an equation of state for the relativistic hydrodynamics encountered in heavy-ion collisions at the LHC and RHIC has been calculated using lattice gauge theory methods. T…