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



Langfeld, Kurt ORCID: 0000-0002-4368-3580 and Lucini, Biagio
(2016) Form the density-of-states method to finite density quantum field theory. .

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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.

Item Type: Conference or Workshop Item (Unspecified)
Additional Information: 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
Uncontrolled Keywords: hep-lat, hep-lat, hep-ph, hep-th
Depositing User: Symplectic Admin
Date Deposited: 21 Jul 2016 09:17
Last Modified: 19 Jan 2023 07:33
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3002449