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Alexandrou, Constantia ; Athenodorou, Andreas ; Cichy, Krzysztof ; Dromard, Arthur ; Garcia-Ramos, Elena ; Jansen, Karl ; Wenger, Urs ; Zimmermann, Falk

Comparison of topological charge definitions in Lattice QCD

Alexandrou, Constantia, Athenodorou, Andreas, Cichy, Krzysztof, Dromard, Arthur, Garcia-Ramos, Elena, Jansen, Karl, Wenger, Urs und Zimmermann, Falk (2020) Comparison of topological charge definitions in Lattice QCD. The European Physical Journal C 80 (5), S. 1-30.

Veröffentlichungsdatum dieses Volltextes: 01 Apr 2021 14:34
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.45454


Zusammenfassung

In this paper, we show a comparison of different definitions of the topological charge on the lattice. We concentrate on one small-volume ensemble with 2 flavours of dynamical, maximally twisted mass fermions and use three more ensembles to analyze the approach to the continuum limit. We investigate several fermionic and gluonic definitions. The former include the index of the overlap Dirac ...

In this paper, we show a comparison of different definitions of the topological charge on the lattice. We concentrate on one small-volume ensemble with 2 flavours of dynamical, maximally twisted mass fermions and use three more ensembles to analyze the approach to the continuum limit. We investigate several fermionic and gluonic definitions. The former include the index of the overlap Dirac operator, the spectral flow of the Wilson–Dirac operator and the spectral projectors. For the latter, we take into account different discretizations of the topological charge operator and various smoothing schemes to filter out ultraviolet fluctuations: the gradient flow, stout smearing, APE smearing, HYP smearing and cooling. We show that it is possible to perturbatively match different smoothing schemes and provide a well-defined smoothing scale. We relate the smoothing parameters for cooling, stout and APE smearing to the gradient flow time τ. In the case of hypercubic smearing the matching is performed numerically. We investigate which conditions have to be met to obtain a valid definition of the topological charge and susceptibility and we argue that all valid definitions are highly correlated and allow good control over topology on the lattice.



Beteiligte Einrichtungen


    Details

    DokumentenartArtikel
    Titel eines Journals oder einer ZeitschriftThe European Physical Journal C
    Verlag:Springer
    Band:80
    Nummer des Zeitschriftenheftes oder des Kapitels:5
    Seitenbereich:S. 1-30
    Datum15 Mai 2020
    InstitutionenNicht ausgewählt
    Identifikationsnummer
    WertTyp
    10.1140/epjc/s10052-020-7984-9DOI
    Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 530 Physik
    StatusVeröffentlicht
    BegutachtetJa, diese Version wurde begutachtet
    An der Universität Regensburg entstandenJa
    URN der UB Regensburgurn:nbn:de:bvb:355-epub-454544
    Dokumenten-ID45454

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