Minimally doubled fermions at one loop
arXiv:0907.2825 · doi:10.1016/j.physletb.2009.09.050
Abstract
Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we investigate the consequences of the breaking of hyper-cubic symmetry, which is a typical feature of this class of fermionic discretizations. Our results for the quark self-energy indicate that the four-momentum undergoes a renormalization which contains a linearly divergent piece. We also compute renormalization factors for quark bilinears, construct the conserved vector and axial-vector currents and verify that at one loop the renormalization factors of the latter are equal to one.
11 pages, 1 figure, discussion of renormalization of four-momentum modified, increased numerical precision of one-loop integrals, results and conclusions unchanged
References in corpus (6)
Cited by in corpus (32)
- 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
- Classification of Minimally Doubled Fermions
- Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
- Four Dimensional Graphene
- Revisiting symmetries of lattice fermions via spin-flavor representation
- 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
- Form factors in lattice QCD
- QCD phase diagram with 2-flavor lattice fermion formulations
- Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions
- Reducing the number of counterterms with new minimally doubled actions
- Varieties and properties of central-branch Wilson fermions
- Fermion Actions extracted from Lattice Super Yang-Mills Theories
- New chiral lattice actions of the Borici-Creutz type
- Anomalous Quantum Hall Effect of 4D Graphene in Background Fields
- Lattice fermions as spectral graphs
- Mixed action with Borici-Creutz fermions on staggered sea
- Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
- Classification and Generalization of Minimal-doubling actions
- New conjecture on exact Dirac zero-modes of lattice fermions
- Mass spectroscopy using Borici-Creutz fermion on 2D lattice
- Equivalence of lattice operators and graph matrices
- Minimally doubled fermions and their renormalization
- Minimal-doubling and single-Weyl Hamiltonians
- Minimally doubled fermions at one-loop level
- Non-hermiticity fermions in two dimensions
- New actions for minimally doubled fermions and their counterterms
- 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