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2007

Fisher's zeros of quasi-Gaussian densities of states

Denbleyker, A., Du, D., Meurice, Y. et al.

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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.

Fisher's zeros of quasi-Gaussian densities of states · Around

Built on

M. Fisher, in Lectures in Theoretical Physics Vol. VIIC (University of Colorado Press, Boulder, Colorado, 1965)
1965
Earlier work this paper cites.
M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, and B. Taglienti, Phys. Lett. B108
1982
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A. D. Kennedy and B. J. Pendleton, Phys. Lett. B156
1985
Earlier work this paper cites.

Similar

N. A. Alves, B. A. Berg, and S. Sanielevici, Nucl. Phys. B376
1992
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W. Janke and R. Kenna, J. Stat. Phys. 102
2001
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W. Janke, D. A. Johnston, and R. Kenna, Nucl. Phys. B682
2004
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N. A. Alves, B. A. Berg, and S. Sanielevici, Phys. Lett. B241
Cited in the paper.
N. A. Alves, B. A. Berg, and S. Sanielevici, Phys. Rev. Lett. 64
Cited in the paper.
N. A. Alves, B. A. Berg, and R. Villanova, Phys. Rev. B41
Cited in the paper.

Then

L. Li and Y. Meurice, Phys. Rev. D73
2006
Later among the works it cites.
A. Denbleyker, D. Du, Y. Meurice, and M. Naides, PoS LAT2006
2006
Later among the works it cites.

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