Local chiral fermions

Abstract

Borici's construction of minimally doubled chiral fermions builds on a linear combination of two unitarily related naive fermion actions. Being strictly local, extremely efficient numerical implementation should be possible. The resulting system is symmetric under the subgroup of the hypercubic group that preserves a major hypercube diagonal. The symmetry includes both parity even and odd transformations, but allows for an anisotropy to appear at finite lattice spacing.

7 pages, for proceedings of The XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia, USA; revision corrects typos and adds references

References in corpus (3)

• Creutz Fermions on an Orthogonal Lattice
• Chiral anomalies and rooted staggered fermions
• Search for Fermion Actions on Hyperdiamond Lattices

Cited by in corpus (10)

• Creutz Fermions on an Orthogonal Lattice
• Renormalization of minimally doubled fermions
• Minimally doubled fermions at one loop
• Phase structure for lattice fermions with flavored chemical potential terms
• Topological Aspects of Fermions on a Honeycomb Lattice
• Reducing the number of counterterms with new minimally doubled actions
• Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials
• New chiral lattice actions of the Borici-Creutz type
• Minimally doubled fermions and their renormalization
• New actions for minimally doubled fermions and their counterterms