2007/08/24 by A. Denbleyker, D. Du, Yannick Meurice +3 · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Bayesian Methods and Mixture Models #Complex plane #Gaussian #Geometry #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Monte Carlo method #Physics #Plane (geometry) #Quantum mechanics #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.76.116002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 76(11) (American Physical Society) · 11 pages, 21 figures, with minor corrections
arxiv created 2007/08/24 · openalex publication_date 2007/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss apparent paradoxes regarding the location of the zeros of the partition function in the complex \ensuremathβ plane (Fisher's zeros) of a pure SU(2) lattice gauge theory in 4 dimensions. We propose a new criterion to draw the region of the complex \ensuremathβ plane where reweighting methods can be trusted when the density of states is almost but not exactly Gaussian. We propose new methods to infer the existence of zeros outside of this region. We demonstrate the reliability of these proposals with quasi-Gaussian Monte Carlo distributions where the locations of the zeros can be calculated by independent numerical methods. The results are presented in such a way that the methods can be applied for general lattice models. Applications to specific lattice models will be discussed in a separate publication.