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Title: Fisher's zeros of quasi-Gaussian densities of states

Journal Article · · Physical Review. D, Particles Fields
; ; ;  [1]
  1. Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)

We discuss apparent paradoxes regarding the location of the zeros of the partition function in the complex {beta} 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 {beta} 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.

OSTI ID:
21023966
Journal Information:
Physical Review. D, Particles Fields, Vol. 76, Issue 11; Other Information: DOI: 10.1103/PhysRevD.76.116002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English