The Sign Problem and MEM in Lattice Field Theory with the θ Term(Particles and Fields)

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概要

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• 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^3 model with the θ term. For data without flattening, we obtain the most probable images of the partition function Z(θ) with rather small errors. The results are quantitatively close to the result obtained with the FTM. Motivated by this fact, we systematically investigate flattening in terms of the MEM. Obtained images Z(θ) are consistent with the FTM for small values of θ, while the behavior of Z(θ) depends strongly on the default model for large values of θ. This behavior of Z(θ) reflects the flattening phenomenon.

• 2006-05-25

著者

• YONEYAMA Hiroshi

  Department of Applied Chemistry, Faculty of Engineering, Osaka University

• Imachi M

  Department Of Physics Yamagata University

• Yoneyama H

  Department Of Physics Saga University

• IMACHI Masahiro

  Department of Physics, Kyushu University

• SHINNO Yasuhiko

  Department of Physics, Saga University

• Shinno Yasuhiko

  Department Of Physics Saga University

• Imachi Masahiro

  Department Of Physics Kyushu University

• Yoneyama Hiroshi

  Department Of Applied Chemistry Faculty Of Engineerig Osaka University

• IMACHI Masahiro

  Departmnet of Physics,Kyushu University

• IMACHI Masahiro

  Department of Physics, Kyusyu University

• Yoneyama Hiroshi

  Department of Applied Chemisrty, Faculty of Engineering, Osaka University

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