Optimization of Monte-Carlo calculations of the effective potential

Details Optimization of Monte-Carlo calculations of the effective potential Optimization of Monte-Carlo calculations of the effective potential

1997-05-16

arxiv.org/abs/hep-lat/9705021v1

Phys.Rev.E57:6140-6151,1998

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages of LaTeX, uses psfig.sty with 6 figures. Entire manuscript available as a postscript file via WWW at http://www.phy

Scientific paper

10.1103/PhysRevE.57.6140

We study Monte Carlo calculations of the effective potential for a scalar field theory using three techniques. One of these is a new method proposed and tested for the first time. In each 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 these 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 strong 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 renormalised parameters of scalar field theories.

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