Volume dependence of Fisher's zeros

A Denbleyker; Daping Du; Yuzhi Liu; Y Meurice; A Velytsky

doi:10.22323/1.066.0244

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Volume dependence of Fisher's zeros

A Denbleyker, Daping Du, Yuzhi Liu, Y Meurice and A Velytsky

PoS LATTICE2008, Vol.66

26th International Symposium on Lattice field theory, Lattice 2008 (Williamsburg, USA, 07/14/2008–07/19/2008)

06/30/2009

DOI: 10.22323/1.066.0244

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Abstract

We study the location of the partition function zeros in the complex beta plane (Fisher's Zeros) for SU(2) lattice gauge theory on L^4 lattices. We discuss recent attempts to locate complex zeros for L=4 and 6. We compare results obtained using various polynomial approximations of the logarithm of the density of states and a straightforward MC reweighting. We conclude that the method based on a combination of discrete Chebyshev orthogonality and patching plaquette distributions at different beta provides the more reliable estimates.

Polynomials

Chebyshev approximation

Dependence

Gauge theory

Lattices

Orthogonality

Partitions (mathematics)

Patching

Details

Title: Subtitle: Volume dependence of Fisher's zeros
Creators: A Denbleyker
Daping Du
Yuzhi Liu
Y Meurice
A Velytsky
Resource Type: Conference proceeding
Publication Details: PoS LATTICE2008, Vol.66
Conference: 26th International Symposium on Lattice field theory, Lattice 2008 (Williamsburg, USA, 07/14/2008–07/19/2008)
DOI: 10.22323/1.066.0244
Publisher: Proceedings of Science
Language: English
Date published: 06/30/2009
Academic Unit: Physics and Astronomy
Record Identifier: 9984428839502771

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