Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions

Abstract

We propose a construction of a 2-dimensional lattice chiral gauge theory. The construction may be viewed as a particular limit of an infinite warped 3-dimensional theory. We also present a "single-site'' construction using Ginsparg-Wilson fermions which may avoid, in both 2 and 4 dimensions, the problems of waveguide-Yukawa models.

arXiv comment16 pages, 5 figures, comments and references added, published version

References in corpus (24)

• A Method for Simulating Chiral Fermions on the Lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• (De)Constructing Dimensions
• A construction of lattice chiral gauge theories
• The index theorem in QCD with a finite cut-off
• Towards a Realistic Model of Higgsless Electroweak Symmetry Breaking
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Weakly coupled Higgsless theories and precision electroweak tests
• Higgsless Theory of Electroweak Symmetry Breaking from Warped Space
• Higgs Mechanism and Bulk Gauge Boson Masses in the Randall-Sundrum Model
• The Standard Model in the Latticized Bulk
• A continuum limit of the chiral Jacobian in lattice gauge theory
• Deconstruction and other approaches to supersymmetric lattice field theories
• A Lattice Construction of Chiral Gauge Theories
• Less naive about supersymmetric lattice quantum mechanics
• Lattice supersymmetry, superfields and renormalization
• Lattice regularization of chiral gauge theories to all orders of perturbation theory
• Lattice Chiral Gauge Theories
• Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
• Domain wall fermions in a waveguide: the phase diagram at large Yukawa coupling
• SU(N) chiral gauge theories on the lattice
• Warped Domain Wall Fermions
• Fermion-number violation in regularizations that preserve fermion-number symmetry
• Non-gauge fixing approach to chiral gauge theories using staggered fermions

Cited by in corpus (20)

• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
• Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
• Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• Progress in four-dimensional lattice supersymmetry
• A Solution to the 1+1D Gauged Chiral Fermion Problem
• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
• On the decoupling of mirror fermions
• Constraining a fourth generation of quarks: non-perturbative Higgs boson mass bounds
• Higgs-Yukawa model in chirally-invariant lattice field theory
• Fermi Surface Symmetric Mass Generation
• Lattice chirality and the decoupling of mirror fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• "Light from chaos" in two dimensions
• Upper and lower Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions