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.
On the suitability of the Brillouin action as a kernel to the overlap procedure
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We investigate the Brillouin action in terms of its suitability as a kernel to the overlap procedure, with a view on both heavy and light quark physics. We use the diagonal elements of the Kenney-Laub family of iterations for the sparse matrix sign function, since they grow monotonically and facilitate cascaded preconditioning strategies with different rational approximations to the sign function. We find that the overlap action with the Brillouin kernel is significantly better localized than the version with the Wilson kernel.
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UNVERDICTED 3representative citing papers
Diagonal Kenney-Laub rational approximation to the overlap operator using Wilson and Brillouin kernels shows enhanced chiral symmetry preservation and efficiency over Chebyshev polynomials on quenched lattices.
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.
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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Diagonal Kenney-Laub Rational Approximation to the Overlap Operator using Wilson and Brillouin Kernel
Diagonal Kenney-Laub rational approximation to the overlap operator using Wilson and Brillouin kernels shows enhanced chiral symmetry preservation and efficiency over Chebyshev polynomials on quenched lattices.
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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.