PINNs optimize Dirac operators to satisfy the Ginsparg-Wilson relation, reproducing overlap fermions and autonomously recovering both the standard and a Fujikawa-type generalized GW relation via polynomial ansatz search.
Axial symmetries in lattice QCD with Kaplan fermions
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
This paper develops in detail a lattice definition of QCD based on the chiral defect fermions recently introduced by Kaplan. The revised version provides missing technical details in the proof that non-singlet axial symmetries become exact in the limit of an infinite fifth dimension. Also several minor errors are corrected.
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UNVERDICTED 7representative citing papers
Minimal-doubling lattice fermion Hamiltonians yield single-Weyl phases when supplemented by a species-splitting mass term, but one-parameter symmetry-preserving deformations introduce additional Weyl nodes above a critical value.
New four-flavor smeared Möbius Domain Wall Fermion ensembles yield F_K/F_pi = 1.1962(34) as a precision test for inexpensive chiral fermion calculations in lattice QCD.
Lattice QCD yields the Ds to Xs l nu inclusive decay rate in agreement with experiment after full chiral and continuum extrapolations, with few-percent total uncertainty.
Lattice simulations with Möbius domain-wall fermions find the three-flavor QCD transition at mu_B=0 is a continuous crossover at pseudocritical quark masses of 184(10) MeV (Nt=6), 36-39 MeV (Nt=8), and 3.5-3.7 MeV (Nt=12) in the MSbar scheme.
Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
citing papers explorer
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Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
PINNs optimize Dirac operators to satisfy the Ginsparg-Wilson relation, reproducing overlap fermions and autonomously recovering both the standard and a Fujikawa-type generalized GW relation via polynomial ansatz search.
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Minimal-doubling and single-Weyl Hamiltonians
Minimal-doubling lattice fermion Hamiltonians yield single-Weyl phases when supplemented by a species-splitting mass term, but one-parameter symmetry-preserving deformations introduce additional Weyl nodes above a critical value.
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$F_K/F_\pi$ as a precision test of a new four flavor Domain Wall Fermion action
New four-flavor smeared Möbius Domain Wall Fermion ensembles yield F_K/F_pi = 1.1962(34) as a precision test for inexpensive chiral fermion calculations in lattice QCD.
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Inclusive semileptonic $D_s\to X_s\ell\bar\nu$ decays from lattice QCD: continuum and chiral extrapolation
Lattice QCD yields the Ds to Xs l nu inclusive decay rate in agreement with experiment after full chiral and continuum extrapolations, with few-percent total uncertainty.
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The QCD phase diagram for three-flavor M\"obius domain-wall fermions
Lattice simulations with Möbius domain-wall fermions find the three-flavor QCD transition at mu_B=0 is a continuous crossover at pseudocritical quark masses of 184(10) MeV (Nt=6), 36-39 MeV (Nt=8), and 3.5-3.7 MeV (Nt=12) in the MSbar scheme.
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Domain wall fermions
Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.