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Elucidating the sign problem through noise distributions

Authors
  • Nicholson, Amy N.
  • Grabowska, Dorota
  • Kaplan, David B.
Type
Preprint
Publication Date
Oct 26, 2012
Submission Date
Oct 26, 2012
Identifiers
DOI: 10.1088/1742-6596/432/1/012032
Source
arXiv
License
Yellow
External links

Abstract

Due to the presence of light pions in the theory, lattice QCD at finite densities suffers from issues with noise in both grand canonical and canonical formulations. We study two different formulations of the Nambu-Jona-Lasinio model reduced to 2+1 dimensions at large N, where N is the number of flavors. At finite chemical potential one formulation has a severe sign problem and a fermion correlator which displays a broad probability distribution with small mean. In the other we find no sign problem and a distribution amenable to the cumulant expansion techniques developed in earlier work.

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