Proposes a bosonized lattice construction of anomaly-free 2D non-Abelian chiral gauge theories in which left and right bulk contributions cancel at finite spacing when quadratic indices match.
Abelian chiral gauge theories on the lattice with exact gauge invariance
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abstract
It is shown that U(1) chiral gauge theories with anomaly-free multiplets of Weyl fermions can be put on the lattice without breaking the gauge invariance or violating any other fundamental principle. The Ginsparg-Wilson relation plays a key role in this construction, which is non-perturbative and includes all topological sectors of the theory in finite volume. In particular, the cancellation of the gauge anomaly and the absence of global topological obstructions can be established on the basis of this relation and the lattice symmetries alone.
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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.
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.
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.
citing papers explorer
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Lattice chiral non-Abelian gauge symmetry via bosonization
Proposes a bosonized lattice construction of anomaly-free 2D non-Abelian chiral gauge theories in which left and right bulk contributions cancel at finite spacing when quadratic indices match.
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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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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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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.