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Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Plenary
Density of states
K. Langfeld
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Pre-published on: 2017-01-24 16:00:59
Published on: 2017-03-24 10:20:24
Abstract
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.
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