Creutz Fermions on an Orthogonal Lattice
arXiv:0712.4401 · doi:10.1103/PhysRevD.78.074504
Abstract
In a recent paper, Creutz has given a new action describing two species of Dirac fermions with exact chiral symmetry on the lattice. This action depends on a parameter which may be fixed at a certain value in order to get the right continuum limit. In this letter, we elaborate more on this idea and present an action which is free of any other parameter except the fermion mass.
9 pages, version to be published in PRD
References in corpus (5)
Cited by in corpus (53)
- Light Hadron Masses from Lattice QCD
- Renormalization of minimally doubled fermions
- Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
- Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
- Minimally doubled fermions at one loop
- Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
- Classification of Minimally Doubled Fermions
- Four Dimensional Graphene
- Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
- Confinement, chiral symmetry, and the lattice
- Phase structure for lattice fermions with flavored chemical potential terms
- On Dirac Zero Modes in Hyperdiamond Model
- Chiral Lattice Fermions, Minimal Doubling, and the Axial Anomaly
- Numerical properties of staggered quarks with a taste-dependent mass term
- Quark Hadron Duality at Finite Temperature
- Topological Aspects of Fermions on a Honeycomb Lattice
- Form factors in lattice QCD
- QCD phase diagram with 2-flavor lattice fermion formulations
- Reducing the number of counterterms with new minimally doubled actions
- Higher order topological matter and fractional chiral states
- Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions
- Topological Aspects of Fermions on Hyperdiamond
- Varieties and properties of central-branch Wilson fermions
- Local chiral fermions
- Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials
- Minimal Doubling Fermion and Hermiticity
- New chiral lattice actions of the Borici-Creutz type
- Anomalous Quantum Hall Effect of 4D Graphene in Background Fields
- Lattice fermions as spectral graphs
- Gross-Neveu model with Borici-Creutz fermion
- Brief Review of Saturation Physics
- Two Lectures on QCD at Short Distances: Jets and Factorization
- Mixed action with Borici-Creutz fermions on staggered sea
- Dirac lattice
- On Flavor Symmetry in Lattice Quantum Chromodynamics
- Impossibility of spontaneous vector flavor symmetry breaking on the lattice
- Equivalence of lattice operators and graph matrices
- Mass spectroscopy using Borici-Creutz fermion on 2D lattice
- Minimally doubled fermions and their renormalization
- Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
- New conjecture on exact Dirac zero-modes of lattice fermions
- Symanzik effective action for Karsten-Wilczek minimally doubled fermions
- Minimal-doubling and single-Weyl Hamiltonians
- Topics in Lattice QCD and Effective Field Theory
- Minimally doubled fermions at one-loop level
- Non-hermiticity fermions in two dimensions
- Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States
- New actions for minimally doubled fermions and their counterterms
- Lattice QCD and the Balkan physicists contribution
- Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
- Index theorem with Minimally Doubled Fermions in four space-time dimensions
- Topological properties of minimally doubled fermions in two space-time dimensions
- Code CFTs and Topological Matter