A Fermion Doublet With Chiral Gauge Interaction On A Lattice

Details A Fermion Doublet With Chiral Gauge Interaction On A Lattice A Fermion Doublet With Chiral Gauge Interaction On A Lattice

2001-11-28

arxiv.org/abs/hep-lat/0111057v3

Electromagnetic Phenomena, vol.3, nr.1 (9), 2003

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages Latex, no figures

Scientific paper

We present a new staggered discretization of the Dirac operator. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. If coupled with gauge fields, an $(1+\gamma^5)$ chiral interaction appears in a natural way. We define a generalization for curved background which does not require tetrad variables. The approach suggests a natural explanation for the three fermion families.

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