New overlap construction of Weyl fermions
arXiv:0802.2496 · doi:10.1016/j.nuclphysb.2008.03.015
Abstract
In a recent article Hasenfratz and von Allmen have suggested a fixed point action for two flavors of Weyl fermions on the lattice with gauge group SU(2). The block-spin transformation they use maps the chiral and vector symmetries of the underlying vector theory onto two equations of the Ginsparg-Wilson (GW) type. We show that an overlap Dirac operator can be constructed which solves both GW equations simultaneously. We discuss the properties of this overlap operator and its projection onto lattice Weyl fermions which seems to be free of artefacts, in particular the projection operators are independent of the gauge field.
Abstract extended; Version to appear in Nuclear Physics B
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Cited by in corpus (6)
- Brout-Englert-Higgs physics: From foundations to phenomenology
- Generalising the Ginsparg-Wilson relation: Lattice Supersymmetry from Blocking Transformations
- Symmetries of Ginsparg-Wilson Chiral Fermions
- Majorana fermions and CP-invariance of chiral gauge theories on the lattice
- A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
- Testing the mechanism of lepton compositness