Classification of Minimally Doubled Fermions

Abstract

We propose a method to control the number of species of lattice fermions which yields new classes of minimally doubled lattice fermions. We show it is possible to control the number of species by handling $O(a)$ Wilson-term-like corrections in fermion actions, which we will term ``Twisted-ordering Method". Using this method we obtain new minimally doubled actions with one exact chiral symmetry and exact locality. We classify the known minimally doubled fermions into two types based on the locations of the propagator poles in the Brillouin zone.

23 pages, 6 figures; version accepted in Phys.Rev.D

References in corpus (6)

• The electronic properties of graphene
• Four-dimensional graphene and chiral fermions
• Creutz Fermions on an Orthogonal Lattice
• Broken Symmetries from Minimally Doubled Fermions
• Search for Fermion Actions on Hyperdiamond Lattices
• Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory

Cited by in corpus (6)

• Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
• Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
• Four Dimensional Graphene
• Classification and Generalization of Minimal-doubling actions
• Minimally doubled fermions and their renormalization
• Graphene, its Homologues and Their Classification