Elucidating the sign problem through noise distributions

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.

6 pages, proceedings for the "Extreme QCD" workshop, Washington DC, August 2012

References in corpus (5)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
• Noise, sign problems, and statistics
• Log-normal distribution for correlators in lattice QCD?

Cited by in corpus (6)

• On the Statistics of Baryon Correlation Functions in Lattice QCD
• Signal/noise enhancement strategies for stochastically estimated correlation functions
• Phase Unwrapping and One-Dimensional Sign Problems
• On the Infinite Variance Problem in Fermion Models
• Large-time correlation functions in bosonic lattice field theories
• Anisotropic Propagator for the Goldstone Modes in Color-flavor Locked Phase in the Presence of a Magnetic Field