Physics-Informed Neural Networks construct lattice Dirac operators satisfying the Ginsparg-Wilson relation, reproducing overlap fermions to high accuracy and discovering a Fujikawa-type generalized relation via algebraic search.
Meson and Baryon dispersion relations with Brillouin fermions
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abstract
We study the dispersion relations of mesons and baryons built from Brillouin quarks on one N_f=2 gauge ensemble provided by QCDSF. For quark masses up to the physical strange quark mass, there is hardly any improvement over the Wilson discretization, if either action is link-smeared and tree-level clover improved. For quark masses in the range of the physical charm quark mass, the Brillouin action still shows a perfect relativistic behavior, while the Wilson action induces severe cut-off effects. As an application we determine the masses of the \Omega_c^0, \Omega_{cc}^+ and \Omega_{ccc}^{++} baryons on that ensemble.
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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.
In a nonrelativistic quark-diquark model fitted to B_c meson data, the authors predict ground-state masses of ~8.0 GeV for Ω_ccb and ~11.0 GeV for Ω_cbb along with magnetic moments and Regge trajectories for different diquark clusterings.
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Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
Physics-Informed Neural Networks construct lattice Dirac operators satisfying the Ginsparg-Wilson relation, reproducing overlap fermions to high accuracy and discovering a Fujikawa-type generalized relation via algebraic 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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Mass spectrum, magnetic moments and Regge trajectories of $\Omega_{ccb}$ and $\Omega_{cbb}$ baryons in the nonrelativistic quark--diquark model
In a nonrelativistic quark-diquark model fitted to B_c meson data, the authors predict ground-state masses of ~8.0 GeV for Ω_ccb and ~11.0 GeV for Ω_cbb along with magnetic moments and Regge trajectories for different diquark clusterings.