Light Front Ensemble Projector Mont Carlo

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 $1+1$-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 $\lambda {\varphi }^4$ theory in $2+1$ dimensions are studied as a trial application. The calculations are performed with up to 64 transverse lattice sites. No Tamm-Dancoff truncations are necessary.

References in corpus (2)

• The sine-Gordon model and the small k^+ region of light-cone perturbation theory
• Staggered fermions and chiral symmetry breaking in transverse lattice regulated QED

Cited by in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• Application of Pauli-Villars Regularization and Discretized Light-Cone Quantization to a (3+1)-Dimensional Model
• Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Parity Invariance and Effective Light-Front Hamiltonians