2013/08/30 by Jeff Greensite, Joyce C. Myers, K. Splittorff · 20 citations
Mathematics · Physics and Astronomy · #Distribution (mathematics) #Gauge theory #Gaussian #Geometry #High-Energy Particle Collisions Research #Inverse #Inverse Gaussian distribution #Lattice (music) #Lattice QCD #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Statistical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep10(2013)192
published in Journal of High Energy Physics 2013(10) (Springer Nature) · 43 pages, 4 figures
arxiv created 2013/08/30 · openalex publication_date 2013/10/01 · arxiv updated 2015/06/17 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
It has been suggested that for QCD at finite baryon density the distribution of the phase angle, i.e. the angle defined as the imaginary part of the logarithm of the fermion determinant, has a simple Gaussian form. This distribution provides the density in the density of states approach to the sign problem. We calculate this phase angle distribution using i) the hadron resonance gas model; and ii) a combined strong coupling and hopping parameter expansion in lattice gauge theory. While the former model leads only to a Gaussian distribution, in the latter expansion we discover terms which cause the phase angle distribution to deviate, by relative amounts proportional to powers of the inverse lattice volume, from a simple Gaussian form. We show that despite the tiny inverse-volume deviation of the phase angle distribution from a simple Gaussian form, such non-Gaussian terms can have a substantial impact on observables computed in the density of states/reweighting approach to the sign problem.