Chiral perturbation theory for gradient flow observables
Oliver Bär,Maarten Golterman +1 more
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In this article, the authors constructed the next-to-leading-order chiral Lagrangian for scalar and pseudoscalar densities defined using the gradient flow, for flow times much smaller than the square of the pion wavelength.Abstract:
We construct the next-to-leading-order chiral Lagrangian for scalar and pseudoscalar densities defined using the gradient flow, for flow times much smaller than the square of the pion wavelength. We calculate the chiral condensate and the pion decay constant to this order from operators at positive flow time, and confirm results obtained earlier in the chiral limit. We also calculate the quark-mass dependence of the scales ${t}_{0}$ and ${w}_{0}$ defined from the scalar gluon density and find that nonanalytic terms in the quark mass only enter at next-to-next-to-leading order.read more
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Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions
Mattia Bruno,Dalibor Djukanovic,Georg P. Engel,Anthony Francis,Gregorio Herdoiza,Hanno Horch,Piotr Korcyl,Tomasz Korzec,M. Papinutto,Stefan Schaefer,Enno E. Scholz,Jakob Simeth,Hubert Simma,Wolfgang Söldner +13 more
TL;DR: In this article, a new technique for analysis of transverse momentum dependent parton distribution functions, based on the Bessel weighting formalism, is presented. But it is only applied to studies of the double longitudinal spin asymmetry in semi-inclusive deep inelastic scattering.
Journal ArticleDOI
Setting the scale for the CLS 2+1 flavor ensembles
TL;DR: In this article, a combination of the decay constants of the light pseudoscalar mesons and the gradient flow scale was used to set the scale of the lattices generated by CLS with $2+1$ flavors of nonperturbatively improved Wilson fermions.
Journal ArticleDOI
Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
Mattia Bruno,Dalibor Djukanovic,Georg P. Engel,Anthony Francis,Gregorio Herdoiza,Hanno Horch,Piotr Korcyl,Tomasz Korzec,Mauro Papinutto,Stefan Schaefer,Enno E. Scholz,Jakob Simeth,Hubert Simma,Wolfgang Söldner +13 more
TL;DR: In this article, a set of gauge configurations generated within the CLS effort are described, which have N_f=2+1 flavors of nonperturbatively improved Wilson fermions in the sea with Luescher-Weisz action used for the gluons.
Proceedings ArticleDOI
Scale Setting in Lattice QCD
TL;DR: The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed in this article, with an emphasis on scales derived from the Yang-Mills gradient flow.
Journal ArticleDOI
Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
Thomas Appelquist,Richard C. Brower,G. T. Fleming,Andrew D. Gasbarro,Andrew D. Gasbarro,Andrew D. Gasbarro,Anna Hasenfratz,Xiao-Yong Jin,Ethan T. Neil,Ethan T. Neil,James C. Osborn,Claudio Rebbi,Enrico Rinaldi,Enrico Rinaldi,Enrico Rinaldi,David Schaich,David Schaich,Pavlos Vranas,Pavlos Vranas,Evan Weinberg,Oliver Witzel +20 more
TL;DR: In this paper, a lattice study of SU(3) gauge theory with degenerate fermions in the fundamental representation is presented, showing that the spectrum is degenerate with the pseudo-Goldstone states down to the lightest masses reached by nonperturbative lattice calculations.
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