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

Alexandrou, C
; 
Athenodorou, A
; 
Cichy, K
; 
Constantinou, M
; 
Horkel, DP
; 
Jansen, K
; 
Koutsou, G
; 
Larkin, C
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Journal Article
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2018-04-01
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hep-lat
 hep-lat
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http://hdl.handle.net/20.500.12613/4686
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PhysRevD.97.074503.pdf
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10.1103/PhysRevD.97.074503
Abstract
© 2018 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the »https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . 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 cutoff 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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Physical Review D
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