Wave functions for Hamiltonian Lattice Gauge Theory
Matteo Beccaria
TL;DR
This paper applies Green's Function Monte Carlo methods to study 4D SU(2) lattice gauge theory in the Hamiltonian formalism, comparing simple and improved wave functions to enhance simulation accuracy.
Contribution
It introduces an improved trial wave function with multiple plaquette terms and analyzes its impact on systematic errors in Hamiltonian lattice gauge theory simulations.
Findings
Improved wave function reduces systematic errors.
Comparison favors the 4-parameter wave function over the strong coupling approximation.
Numerical results support the effectiveness of the enhanced trial state.
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.
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