Wave functions for Hamiltonian Lattice Gauge Theory

Abstract

We study four dimensional SU(2) lattice gauge theory in the Hamiltonian formalism by Green's Function Monte Carlo methods. A trial ground state wave function is introduced to improve the configuration sampling and we discuss the interplay between its complexity and the simulation systematic errors. As a case study, we compare the leading strong coupling approximation and an improved 4 parameters wave function with 1X1 and 1X2 plaquette terms. Our numerical results favors the second option.

14 pages, 8 Encapsulated PostScript figures

References in corpus (2)

• Green Function Simulation of Hamiltonian Lattice Models with Stochastic Reconfiguration
• Optimization of Trial Wave Functions for Hamiltonian Lattice Models

Cited by in corpus (7)

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• Green's Function Monte Carlo study of SU(3) lattice gauge theory in (3+1)D
• An Improved Upper Bound for the Ground State Energy of Fermion Lattice Models
• Adaptive Optimization of Wave Functions for Fermion Lattice Models