2016/10/31 by Kurt Langfeld, Langfeld, Kurt
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1610.09856
openalex publication_date 2016/10/31 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Although Monte Carlo calculations using Importance Sampling have matured into the most widely employed method for determining first principle results in QCD, they spectacularly fail for theories with a sign problem or for which certain rare configurations play an important role. Non-Markovian Random walks, based upon iterative refinements of the density-of-states, overcome such overlap problems. I will review the Linear Logarithmic Relaxation (LLR) method and, in particular, focus onto ergodicity and exponential error suppression. Applications include the high-state Potts model, SU(2) and SU(3) Yang-Mills theories as well as a quantum field theory with a strong sign problem: QCD at finite densities of heavy quarks.