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Small flow-time representation of fermion bilinear operators
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abstract
Fermion bilinear operators of mass dimension~$3$, such as the axial-vector and vector currents, the pseudo-scalar and scalar densities, whose normalizations are fixed by Ward--Takahashi (WT) relations, are related to small flow-time behavior of composite operators of fermion fields evolved by L\"uscher's flow equation. The representations can be useful in lattice numerical simulations, as recently demonstrated by the WHOT QCD collaboration for the chiral condensation of the $N_f=2+1$ quantum chromodynamics (QCD) at finite temperature.
Forward citations
Cited by 2 Pith papers
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One-loop matching of the LEFT to the QCD gradient flow
All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.
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A new approach to quark mass determination using the gradient flow
The MS quark mass can be extracted by matching lattice data to ratios of flowed quark bilinear VEVs, and this paper provides the required next-to-leading-order expressions with full mass dependence.
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