A Fermion Doublet With Chiral Gauge Interaction On A Lattice
نویسنده
چکیده
We present a new staggered discretization of the Dirac operator. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. If coupled with gauge fields, an (1+γ5) chiral interaction appears in a natural way. We define a generalization for curved background which does not require tetrad variables. The approach suggests a natural explanation for the three fermion families.
منابع مشابه
Fermion Interactions in the Wilson Yukawa Approach for Lattice Chiral Gauge Theories
We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like structure. We argue that this fermion-gauge coupling remains non-zero in the continuum limit taken in the Higgs phase. Possible fermionscalar couplings in this appro...
متن کاملFermion Number Violation and a Two-dimensional Higgs Model
The investigation of topological properties of the gauge field in a two-dimensional Higgs model can help in understanding anomalous fermion number violation. 1. A simple model for fermion number violation Fermion number, which is the sum of baryon number and lepton number (B+L), is not conserved in the Standard Model 1. This is due to the anomaly in the fermion current. The lattice formulation ...
متن کاملRenormalizability of a lattice chiral fermion in the overlap formulation
Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms breaking the chiral symmetry do not appear and the chiral fermion is renormalized, preserving the correct chiral properties without adding new counter-terms or ...
متن کاملA Possible Lattice Chiral Gauge Theory
We analyze the dynamics of an SUL(2)⊗UR(1) chiral gauge theory on a lattice with a large multifermion coupling 1 ≪ g2 < ∞. It is shown that no spontaneous symmetry breaking occurs; the “spectator” fermion ψR(x) is a free mode; doublers are decoupled as massive Dirac fermions consistently with the chiral gauge symmetry. Whether right-handed three-fermion states disappear and chiral fermions emer...
متن کامل(non)decoupling of mirror fermions
We study ’t Hooft anomaly matching in lattice models with strong Yukawa or multi-fermion interactions. Strong non-gauge interactions among the mirror fermions in a vectorlike lattice gauge theory are introduced with the aim to obtain, in a strong-coupling symmetric phase, a long-distance unbroken gauge theory with chiral fermions in a complex representation. We show how to use exact lattice chi...
متن کامل