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Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow

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arxiv 1709.06596 v1 pith:5PYPQTP7 submitted 2017-09-19 hep-lat

Constantia Alexandrou , Andreas Athenodorou , Krzysztof Cichy , Martha Constantinou , Derek P. Horkel , Karl Jansen , Giannis Koutsou , Conor Larkin This is my paper · ORCID
classification hep-lat
keywords spectralsusceptibilitydiscretizationtopologicalchiralcontinuumdefinitioneffects
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We compare lattice QCD determinations of topological susceptibility using a gluonic definition from the gradient flow and a fermionic definition from the spectral projector method. We use ensembles with dynamical light, strange and charm flavors of maximally twisted mass fermions. For both definitions of the susceptibility we employ ensembles at three values of the lattice spacing and several quark masses at each spacing. The data are fitted to chiral perturbation theory predictions with a discretization term to determine the continuum chiral condensate in the massless limit and estimate the overall discretization errors. We find that both approaches lead to compatible results in the continuum limit, but the gluonic ones are much more affected by cut-off effects. This finally yields a much smaller total error in the spectral projector results. We show that there exists, in principle, a value of the spectral cutoff which would completely eliminate discretization effects in the topological susceptibility.

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Cited by 4 Pith papers

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  1. Topological properties around the Roberge-Weiss transition in $N_f = 2 + 1 + 1$ QCD

    hep-lat 2026-08 conditional novelty 6.0 of 10

    Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.

  2. Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants

    hep-lat 2026-03 conditional novelty 6.0 of 10

    A dynamical charm quark does not measurably change light-hadron masses or decay constants, and a clover-on-HISQ mixed action reduces O(a^2) discretization errors in the continuum limit.

  3. Topology via Spectral Projectors with Staggered Fermions

    hep-lat 2019-08 conditional novelty 6.0 of 10

    A staggered-fermion version of the spectral-projectors definition of topological charge is derived, generalized to all cumulants, and tested against gluonic and overlap results in pure SU(3).

  4. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

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