DOI 10.1007/s100520000330
Green function simulation of Hamiltonian lattice models
with stochastic reconfiguration
M. Beccaria
Dipartimento di Fisica dell'Università di Lecce, 73100
Lecce, Italy -
Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, 73100 Lecce,
Italy
Received: 23 November 1999 / Published online: 25 February 2000 - © Springer-Verlag 2000
Abstract
We apply a recently proposed Green function
Monte Carlo procedure to the
study
of Hamiltonian lattice gauge theories. This class of algorithms
computes quantum vacuum expectation values by averaging over
a set of
suitable weighted random walkers. By means of a procedure called
stochastic reconfiguration the long standing problem of keeping
fixed
the walker population without a priori knowledge of the ground
state
is completely solved. In the
U(1)2 model, which we choose as our theoretical laboratory,
we evaluate the mean plaquette and the vacuum energy per plaquette.
We find good agreement with previous works using model-dependent
guiding functions for the random walkers.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
