Density of states

K. Langfeld

doi:10.22323/1.256.0010

Density of states

K. Langfeld

University of Liverpool

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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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.

Original language	Undefined/Unknown
Title of host publication	Proceedings of Science: 34th Annual International Symposium on Lattice Field Theory
Place of Publication	Italy
Publisher	Sissa Medialab Srl
Number of pages	15
DOIs	https://doi.org/10.22323/1.256.0010
Publication status	Published - 2017
Externally published	Yes
Event	International Symposium on Lattice Field Theory - University of Southampton, Southampton, United Kingdom Duration: 24 Jul 2016 → 30 Jul 2016 Conference number: 34th

Conference

Conference	International Symposium on Lattice Field Theory
Country/Territory	United Kingdom
City	Southampton
Period	24/07/16 → 30/07/16

Access to Document

10.22323/1.256.0010Licence: CC BY-NC-ND

full textFinal published version, 1.26 MBLicence: CC BY-NC-ND

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AB - 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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M3 - Conference Paper

BT - Proceedings of Science: 34th Annual International Symposium on Lattice Field Theory

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T2 - International Symposium on Lattice Field Theory

Y2 - 24 July 2016 through 30 July 2016

ER -

Density of states

Abstract

Conference

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