# Fisher&#x27;s zeros of quasi-Gaussian densities of states - High Energy Physics - Lattice

Abstract: We discuss apparent paradoxes regarding the location of the zeros of thepartition function in the complex $\beta$ plane Fisher-s zeros of a pureSU2 lattice gauge theory in 4 dimensions. We propose a new criterion to drawthe region of the complex $\beta$ plane where reweighting methods can betrusted when the density of states is almost but not exactly Gaussian. Wepropose new methods to infer the existence of zeros outside of this region. Wedemonstrate the reliability of these proposals with quasi Gaussian Monte Carlodistributions where the locations of the zeros can be calculated by independentnumerical methods. The results are presented in such way that the methods canbe applied for general lattice models. Applications to specific lattice modelswill be discussed in a separate publication.

Author: A. Denbleyker, D. Du, Y. Meurice, A. Velytsky

Source: https://arxiv.org/