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Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
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abstract
It has been observed in multiple lattice determinations of isovector axial and pseudoscalar nucleon form factors, that, despite the fact that the partial conservation of the axialvector current is fulfilled on the level of correlation functions, the corresponding relation for form factors (sometimes called the generalized Goldberger-Treiman relation in the literature) is broken rather badly. In this work we trace this difference back to excited state contributions and propose a new projection method that resolves this problem. We demonstrate the efficacy of this method by computing the axial and pseudoscalar form factors as well as related quantities on ensembles with two flavors of improved Wilson fermions using pion masses down to 150 MeV. To this end, we perform the $z$-expansion with analytically enforced asymptotic behaviour and extrapolate to the physical point.
Forward citations
Cited by 5 Pith papers
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In a finite box the axial-vector current matrix element between two nucleons requires a larger set of form factors than the usual two employed in infinite volume; the complete one-loop expressions are derived in SU(2)...
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Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions
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Nucleon matrix elements of axial anomaly, axial currents and pseudoscalar currents in the QCD sum rule
QCD sum rules are used to express nucleon coupling constants to pseudoscalar and axial currents, including the axial anomaly, in terms of operator matrix elements and PDF moments, with non-diagonal contributions included.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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