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A construction of lattice chiral gauge theories
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Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non--interacting fermions. Our construction avoids the no--go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge field configurations of non--trivial topology.
Forward citations
Cited by 6 Pith papers
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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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Bifrost-1: Bridging Multimodal LLMs and Diffusion Models with Patch-level CLIP Latents
In 2D SU(2) with a massless Majorana fermion, two of the four partition functions vanish in the continuum limit; the topological condensate approaches 0.162(3) per color degree of freedom, and there is no spontaneous ...
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Perturbative quantum electrodynamics with generalized domain wall fermions
For generalized domain-wall fermions, the O(e^2) electromagnetic expansion requires new local seagull and anti-quark contact vertices, derived here for the first time.
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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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Lattice study of two-dimensional SU(2) gauge theories with a single massless Majorana fermion
For 2D SU(2) gauge theory with one massless Majorana fermion, only one of the two overlap zero-mode classes survives the continuum limit depending on boundary conditions, and a zero-mode-excluding 'topological condens...
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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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