Chiral fermions on the lattice

Abstract

We discuss topological obstructions to putting chiral fermions on an even dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For an odd number of Weyl fermions this implies that particles and anti-particles live in topologically different spaces.

16 pages, latex, no figures

References in corpus (1)

• Lattice 2001: Reflections

Cited by in corpus (7)

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• Blocking-inspired supersymmetric actions: a status report
• A renormalisation group derivation of the overlap formulation
• 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
• A Ginsparg-Wilson approach to lattice $\mathcal{C}\mathcal{P}$ symmetry