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High Energy Physics - Lattice

arXiv:1606.03879 (hep-lat)
[Submitted on 13 Jun 2016 (v1), last revised 20 Jul 2016 (this version, v2)]

Title:Form the density-of-states method to finite density quantum field theory

Authors:Kurt Langfeld, Biagio Lucini
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Abstract:During the last 40 years, Monte Carlo calculations based upon Importance Sampling have matured into the most widely employed method for determinig first principle results in QCD. Nevertheless, Importance Sampling leads to spectacular failures in situations in which certain rare configurations play a non-secondary role as it is the case for Yang-Mills theories near a first order phase transition or quantum field theories at finite matter density when studied with the re-weighting method. The density-of-states method in its LLR formulation has the potential to solve such overlap or sign problems by means of an exponential error suppression. We here introduce the LLR approach and its generalisation to complex action systems. Applications include U(1), SU(2) and SU(3) gauge theories as well as the Z3 spin model at finite densities and heavy-dense QCD.
Comments: 12 pages, 14 figures, based upon talks presented at Excited QCD 2016, 6-12 March 2016, Costa da Caparica, Portugal; typos corrected in this final version
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1606.03879 [hep-lat]
  (or arXiv:1606.03879v2 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.1606.03879

Submission history

From: Kurt Langfeld [view email]
[v1] Mon, 13 Jun 2016 09:50:52 UTC (675 KB)
[v2] Wed, 20 Jul 2016 07:58:44 UTC (676 KB)
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