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arXiv · hep-lat/0311009

A doubler-free lattice theory for QCD based on geometric fermions

I. Schmelzer
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Abstract

We present doubler-free gauge-invariant lattice vector gauge action for some real representations of Wilson gauge fields on an octet of fermions. It is based on a geometric representation of the Dirac equation as an evolution equation on the three-dimensional exterior bundle /(R^3) for a single bispinor and of the bundle (/\x/)(R^3) for an octet. We find doubler-free lattice Dirac operators for above bundles. A gauge-invariant connection with Wilson lattice gauge fields is possible for some real representations of the gauge group. The QCD action of SU(3) is of this type. Application in lattice QCD seems useful: We don't have to waste time and memory for doublers as well as for correction terms to suppress them.

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I. Schmelzer. 2003-11-08. A doubler-free lattice theory for QCD based on geometric fermions. https://arxiv.org/abs/hep-lat/0311009

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