2008/02/29 by Christof Gattringer, Markus Pak
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.03.015
published as Nucl.Phys.B801:353-360,2008 · Abstract extended; Version to appear in Nuclear Physics B
arxiv created 2008/03/28 · openalex publication_date 2008/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.