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A Method for Simulating Chiral Fermions on the Lattice
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A Method for Simulating Chiral Fermions on the Lattice
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A method for simulating chiral gauge theories on the lattice is proposed, involving zeromodes on a topological defect. Lattice doublers may be decoupled in a gauge invariant manner, and flavor anomalies can be directly observed on a finite lattice. (Requires harvmac)
Forward citations
Cited by 19 Pith papers
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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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Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
Physics-informed neural networks construct overlap fermions by optimizing to the Ginsparg-Wilson relation and autonomously discover both the standard and generalized Fujikawa-type versions of the relation.
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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 algebr...
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Taste-splitting mass and edge modes in $3+1$ D staggered fermions
A kink in a one-link mass term for 3+1D staggered fermions creates a 2+1D domain wall with two-flavor massless Dirac fermions protected by SU(2) and parity, realizing the parity anomaly from the UV lattice Hamiltonian.
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Exactly Solvable 1+1d Chiral Lattice Gauge Theories
Anomaly-free chiral U(1) gauge theories in 1+1 dimensions can be written as quadratic, exactly solvable lattice Hamiltonians, with the 34-50 model as an explicit example.
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Gauge field flow for chiral gauge theories on a slab
Implements gradient flow and EOM flow for gauge fields in n=1 domain wall fermion slab geometry on the lattice, demonstrating current conservation and anomaly inflow with background fields.
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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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RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.
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RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover ...
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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 cri...
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An inquiry on the Absence of Fermion Doubling and why the Nielsen-Ninomiya Theorem Does Not Apply to Nonlocal Quantum Field Theory
A continuum nonlocal Dirac operator multiplied by an invertible zero-free entire function has exactly the same kernel and finite-momentum zero set as the ordinary Dirac operator, so fermion doubling is absent.
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Gauge field flow for chiral gauge theories on a disk boundary
Proposes equation-of-motion flow on square lattice for extending boundary gauge fields into disk interior in 2n-dimensional chiral gauge theories and demonstrates anomaly inflow and cancellation on the lattice.
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The sigma meson ($f_0$) at finite temperature with truncated overlap fermions
Dynamical truncated overlap fermions reproduce the expected π–f₀ and ρ–a₁ screening-mass degeneracies above T_pc in two-flavour lattice QCD.
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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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The sigma meson ($f_0$) at finite temperature with truncated overlap fermions
Dynamical lattice QCD with truncated overlap fermions shows pi-f0 screening mass degeneracy above T_pc and connected-part dominance in the f0 propagator at high T, supporting chiral symmetry restoration.
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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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Domain wall fermions
Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.
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Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
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Lattice methods for students at a formal TASI
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