2006/02/28 by M. Imachi, Masahiro Imachi, Yasuhiko Shinno +2 · 1 citation
Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Flattening #Fourier transform #Lattice (music) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Monte Carlo method #Physics #Quantum mechanics #Sign (mathematics) #Statistical Mechanics and Entropy #Statistical physics #Statistics #Term (time) #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.1143/ptp.115.931
published as Prog.Theor.Phys. 115 (2006) 931-949 · PTPTEX<ver.09>, 20 pages with 15 figures
openalex publication_date 2006/05/01 · arxiv created 2006/06/05 · openalex created_date 2016/06/24 · arxiv updated 2016/09/01 · openalex updated_date 2026/08/05
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 CP3 model with the θ term. For data without flattening, we obtain the most probable images of the partition function 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 are consistent with the FTM for small values of θ, while the behavior of depends strongly on the default model for large values of θ. This behavior of reflects the flattening phenomenon.