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A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance

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arxiv 0709.3656 v4 pith:DO746GGW submitted 2007-09-23 hep-lat

A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance

Daisuke Kadoh , Yoshio Kikukawa This is my paper
classification hep-lat
keywords gaugemeasuretermlatticevolumechiralfermionfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the gauge invariant formulation of U(1) chiral lattice gauge theories based on the Ginsparg-Wilson relation, the gauge field dependence of the fermion measure is determined through the so-called measure term. We derive a closed formula of the measure term on the finite volume lattice. The Wilson line degrees of freedom (torons) of the link field are treated separately to take care of the global integrability. The local counter term is explicitly constructed with the local current associated with the cohomologically trivial part of the gauge anomaly in a finite volume. The resulted formula is very close to the known expression of the measure term in the infinite volume with a single parameter integration, and would be useful in practical implementations.

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Cited by 2 Pith papers

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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.

  2. Gauge field flow for chiral gauge theories on a disk boundary

    hep-lat 2026-06 unverdicted novelty 5.0

    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.