2012/08/31 by Dorota M. Grabowska, Dorota Grabowska, David B. Kaplan +2
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.87.014504
published as Physical Review D 87, 014504 (2013) · 16 pages, 5 figures; Published version with minor changes from the original
openalex publication_date 2013/01/22 · arxiv created 2013/01/24 · arxiv updated 2013/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Nambu-Jona-Lasinio model reduced to 2+1 dimensions has two different path integral formulations: at finite chemical potential one formulation has a severe sign problem similar to that found in QCD, while the other does not. At large N, where N is the number of flavors, one can compute the probability distributions of fermion correlators analytically in both formulations. In the former case one finds a broad distribution with small mean; in the latter one finds a heavy tailed positive distribution amenable to the cumulant expansion techniques developed in earlier work. We speculate on the implications of this model for QCD.