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.
Chiral Fermions from Lattice Boundaries
6 Pith papers cite this work, alongside 755 external citations. Polarity classification is still indexing.
6
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755
external citations · Pith
abstract
We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall fermions, yet the present construction has several technical advantages. We discuss some aspects of perturbation theory, as well as possible applications of the model both for lattice QCD and for the on-going attempts to construct a lattice chiral gauge theory.
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A one-link taste-splitting mass in 3+1D staggered fermions gaps the bulk and hosts two-flavor massless Dirac edge modes whose SU(2) and parity anomaly descend from UV bulk charges.
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.
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.
A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.
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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Taste-splitting mass and edge modes in $3+1$ D staggered fermions
A one-link taste-splitting mass in 3+1D staggered fermions gaps the bulk and hosts two-flavor massless Dirac edge modes whose SU(2) and parity anomaly descend from UV bulk charges.
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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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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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Topological Susceptibility and QCD at Finite Theta Angle
A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.
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Lattice methods for students at a formal TASI
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.