Deconfinement critical point of lattice QCD with Nf=2 Wilson fermions

  • The SU(3) pure gauge theory exhibits a first-order thermal deconfinement transition due to spontaneous breaking of its global Z3 center symmetry. When heavy dynamical quarks are added, this symmetry is broken explicitly and the transition weakens with decreasing quark mass until it disappears at a critical point. We compute the critical hopping parameter and the associated pion mass for lattice QCD with Nf=2 degenerate standard Wilson fermions on Nτ∈{6,8,10} lattices, corresponding to lattice spacings a=0.12  fm, a=0.09  fm, a=0.07  fm, respectively. Significant cutoff effects are observed, with the first-order region growing as the lattice gets finer. While current lattices are still too coarse for a continuum extrapolation, we estimate mcπ≈4  GeV with a remaining systematic error of ∼20%. Our results allow us to assess the accuracy of the leading-order and next-to-leading-order hopping expanded fermion determinant used in the literature for various purposes. We also provide a detailed investigation of the statistics required for this type of calculation, which is useful for similar investigations of the chiral transition.

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Author:Francesca CuteriORCiD, Owe PhilipsenORCiDGND, Alena SchönORCiDGND, Alessandro SciarraORCiD
Parent Title (English):Physical Review D
Place of publication:Woodbury, NY
Document Type:Article
Date of Publication (online):2021/01/21
Date of first Publication:2021/01/21
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2022/10/26
Tag:Hybrid Monte Carlo algorithm; Lattice gauge theory
Issue:1, art. 014513
Article Number:014513
Page Number:12
First Page:1
Last Page:12
Funded by SCOAP3.
The authors acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the CRC-TR 211 “Strong-interaction matter under extreme conditions” – Project No. 315477589 –
TRR 211.
Institutes:Physik / Physik
Forschungscluster / ELEMENTS
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International