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MEM study of true flattening of free energy and the $θ$ term

arXiv:hep-lat/0409146 · doi:10.1016/j.nuclphysbps.2004.11.257

Abstract

We study the sign problem in lattice field theory with a $θ$ term, which reveals as flattening phenomenon of the free energy density $f(θ)$. We report the result of the MEM analysis, where such mock data are used that `true' flattening of $f(θ)$ occurs. This is regarded as a simple model for studying whether the MEM could correctly detect non trivial phase structure in $θ$ space. We discuss how the MEM distinguishes fictitious and true flattening.

Poster presented at Lattice2004(topology), Fermilab, June 21-26, 2004; 3 pages, 3 figures