REVIEW 5 cited by
Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry
read the original abstract
We construct a family of Ginsparg-Wilson Hamiltonians with improved chiral properties, starting from a construction of Creutz-Horvath-Neuberger that provides a doubler-free Hamiltonian lattice regularization for Dirac fermions in even spacetime dimensions. We use a higher-order generalization of the Ginsparg-Wilson relation due to Fujikawa, which yields an order-$k$ Hamiltonian overlap operator for each integer $k \geq 0$, with an exactly conserved but nonquantized chiral charge that becomes quantized as $k \to \infty$. Our construction provides physical insight into how Fujikawa's higher-order Ginsparg-Wilson relation improves chiral symmetry while reproducing the anomaly, highlighting the trade-offs inherent in any Hamiltonian lattice realization of an anomalous chiral symmetry. This class of Hamiltonian lattice regularizations, with their tunable chiral symmetry properties, offers potential advantages for quantum and tensor-network simulations.
Forward citations
Cited by 5 Pith papers
-
Bosonization versus the Nielsen-Ninomiya theorem
In the 2D modified Villain model, bosonized chiral lattice fermion operators yield a doubler-free but non-local reconstructed Dirac operator, consistent with Nielsen-Ninomiya, while the microscopic theory remains ultr...
-
Exact chiral symmetry with quantum signal processing
QSP implements the overlap fermion Hamiltonian with Ginsparg-Wilson violation O(ε_e) at cost only a log(1/ε_e)/κ factor above Wilson-Dirac, trading qubits for gates versus domain-wall fermions.
-
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 cri...
-
Lattice Quantum Chromodynamics for Quantum Simulations
A representation-basis Hamiltonian framework with staggered and Wilson quarks is used to simulate SU(3) lattice QCD on up to 32 qubits, displaying theta-angle, hadronic, and string-breaking dynamics in 3D under strong...
-
Bosonization versus the Nielsen-Ninomiya theorem
The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.