Sign Problem and Mem * †
نویسنده
چکیده
The sign problem is notorious in Monte Carlo simulations of lattice QCD with the finite density, lattice field theory (LFT) with a θ term and quantum spin models. In this report, to deal with the sign problem, we apply the maximum entropy method (MEM) to LFT with the θ term and investigate to what extent the MEM is applicable to this issue. Based on this study, we also make a brief comment about lattice QCD with the finite density in terms of the MEM.
منابع مشابه
ar X iv : h ep - l at / 0 50 60 32 v 1 3 0 Ju n 20 05 1 True or Fictitious Flattening ? – MEM and the θ Term –
We study the sign problem in lattice field theory with a θ term. We apply the maximum entropy method (MEM) to flattening phenomenon of the free energy density f(θ), which originates from the sign problem. In our previous paper, we applied the MEM by employing the Gaussian topological charge distribution P (Q) as mock data. In the present paper, we consider models in which ‘true’ flattening of f...
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Lattice field theory with a θ term suffers from the sign problem. The sign problem appears as flattening of the free energy. As an alternative way to the conventional method, the Fourier transform method (FTM), we apply the maximum entropy method (MEM) to Monte Carlo data of the CP model with the θ term. For the data without flattening, we obtain the most probable images of the partition functi...
متن کاملar X iv : h ep - l at / 0 40 91 46 v 1 2 5 Se p 20 04 MEM study of true flattening of free energy and the θ term ∗ † ‡
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 ME...
متن کاملar X iv : h ep - l at / 0 40 91 46 v 2 5 O ct 2 00 4 MEM study of true flattening of free energy and the θ term ∗ † ‡
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 ME...
متن کاملThe Sign Problem and MEM in Lattice Field Theory with the θ Term
Lattice field theory with the θ term suffers from the sign problem. The sign problem appears as flattening of the free energy. As an alternative to the conventional method, the Fourier transform method (FTM), we apply the maximum entropy method (MEM) to Monte Carlo data obtained using the CP model with the θ term. For data without flattening, we obtain the most probable images of the partition ...
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