Light Front Ensemble Projector Mont Carlo
Matthias Burkardt

TL;DR
This paper introduces a novel numerical simulation method for light-front Hamiltonians on transverse lattices, combining DLCQ and ensemble projector Monte Carlo techniques to study quantum field theories without Tamm-Dancoff truncations.
Contribution
The paper presents a new computational approach integrating DLCQ and Monte Carlo methods for light-front Hamiltonian simulations on transverse lattices.
Findings
Successfully simulated $mbda \u00b4phi^4$ theory in 2+1 dimensions
Achieved high-precision calculations with up to 64 lattice sites
Eliminated the need for Tamm-Dancoff truncations
Abstract
A new method to perform numerical simulations of light-front Hamiltonians formulated on transverse lattices is introduced. The method is based on a DLCQ formulation for the (continuous) longitudinal directions. The hopping term in the transverse direction introduces couplings between fields defined on neighboring -dimensional sheets. Within each sheet, the light-cone imaginary time evolution operator is calculated numerically with high precision using DLCQ. The coupling between neighboring sheets is taken into account using an initial value random walk algorithm based on the ensemble projector Monte Carlo technique and a checkerboard decomposition for the time evolution operator. The structure functions of theory in dimensions are studied as a trial application. The calculations are performed with up to 64 transverse lattice sites. No Tamm-Dancoff truncations…
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