Non-gauge fixing approach to chiral gauge theories using staggered fermions
arXiv:hep-lat/9308009 · doi:10.1016/0550-3213(94)90326-3
Abstract
We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated by previous results in the non-gauge invariant massive Yang-Mills theory and certain gauge-fermion models we aim at a dynamical restoration of the gauge invariance in the full quantum model. If the gauge symmetry breaking is not too severe, this procedure could lead in the continuum limit to the desired gauge invariant chiral gauge theory. This scenario is very attractive since it does not rely on gauge fixing. We investigate a simple realization of this approach in a U(1) axial-vector model with dynamical fermions in four dimensions.
25 pages, 12 postscript figures (appended), ITFA 93-18, UCSD/PTH 93-15
References in corpus (15)
- A Method for Simulating Chiral Fermions on the Lattice
- Infinitely many regulator fields for chiral fermions
- Absence of Chiral Fermions in the Eichten--Preskill Model
- Chiral Gauge Theories and Fermion-Higgs Systems
- Fermion-Higgs model with Reduced Staggered Fermions
- Fermion-Higgs model with strong Wilson-Yukawa coupling in two dimensions
- Can the Couplings in the Fermion-Higgs Sector of the Standard Model be Strong?
- A method for putting chiral fermions on the lattice
- A Proposal for Simulating Chiral Fermions
- Reflection positive formulation of chiral gauge theories on a lattice
- A streamlined method for chiral fermions on the lattice
- Massless Decoupled Doublers: Chiral Yukawa Models and Chiral Gauge Theories
- No strong coupling regime in the fermion-Higgs sector of the standard model
- On reflection positive formulation of chiral gauge theories on a lattice
- Chiral fermions in two dimensions?
Cited by in corpus (8)
- Lattice Chiral Fermions
- Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
- Failure of the Regge approach in two dimensional quantum gravity
- Fermion production despite fermion number conservation
- A Lattice Formulation of Chiral Gauge Theories
- On the Phase Diagram of a Lattice U(1) Gauge Theory with Gauge Fixing
- Dynamical generation of a gauge symmetry in the Double-Exchange model
- A confederacy of anomalies