Probing finite size effects in $(λΦ^4)_4$ MonteCarlo calculations

Physics – High Energy Physics – High Energy Physics - Lattice

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LATTICE98(Gauge, Higgs and Yukawa Models)

Scientific paper

10.1016/S0920-5632(99)85187-1

The Constrained Effective Potential (CEP) is known to be equivalent to the usual Effective Potential (EP) in the infinite volume limit. We have carried out MonteCarlo calculations based on the two different definitions to get informations on finite size effects. We also compared these calculations with those based on an Improved CEP (ICEP) which takes into account the finite size of the lattice. It turns out that ICEP actually reduces the finite size effects which are more visible near the vanishing of the external source.

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