Optimisation of Monte-Carlo calculations of the effective potential
A. Ardekani and A.G. Williams
Adelaide preprint number: ADP-97-13/T250
Abstract
We study Monte Carlo calculations of the
effective potential for a scalar field using three known techniques
and one of these is a new method proposed and tested for the first time. In ea
ch case we extract the
renormalised quantities of the theory. The system studied in our
calculations is a one component $\phi^4$ model in two dimensions. We apply the
se
methods to both the weak and strong coupling regime. In the weak coupling
regime we compare
our results for the renormalised quantities with those obtained
from two-loop lattice perturbation theory. Our results are verified in the st
rong coupling regime through comparison with
the strong coupling expansion. We conclude that effective potential methods,
when suitably chosen, can be accurate tools in calculations of the renormalise
d parameters of scalar field theories.
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