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A Lattice Fermion Doublet With A Generalization Of The Ginsparg-Wilson Relation

I. Schmelzer
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Abstract

We present a new staggered discretization of the Dirac operator. In comparison with standard staggered fermions, real and imaginary parts are located in different nodes. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. Contrary to usual staggered fermions, we have no exact chiral symmetry but obtain a generalization of the Ginsparg-Wilson relation.

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I. Schmelzer. 2002-08-30. A Lattice Fermion Doublet With A Generalization Of The Ginsparg-Wilson Relation. https://arxiv.org/abs/hep-lat/0208040

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