Lattice Formulation of the Standard Model

Abstract

Combining the Kaplan surface mode approach for chiral fermions with added terms motivated by Eichten and Preskill suggests the possibility for a lattice regularization of the standard model which is finite, exactly gauge invariant, and only has physically desired states in its low energy spectrum. The conjectured scheme manifestly requires anomaly cancelation and explicitly contains baryon and lepton number violating terms.

11 pages, latex

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Cited by in corpus (35)

• Aspects of Chiral Symmetry and the Lattice
• Comments on Symmetric Mass Generation in 2d and 4d
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• Gapped Chiral Fermions
• Ginsparg-Wilson-Luscher Symmetry and Ultralocality
• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• On the decoupling of mirror fermions
• Chiral gauged fermions on a lattice
• Chiral Lattice Fermions From Staggered Fields
• Detailed discussions and calculations of quantum Regge calculus of Einstein-Cartan theory
• Quantum Regge Calculus of Einstein-Cartan theory
• A further study of the possible scaling region of lattice chiral fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Evaluating Grassmann Integrals
• Lattice chirality and the decoupling of mirror fermions
• 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
• Higgs Boson and Top-Quark Masses and Parity-Symmetry Restoration
• Vectorlike $W^{\pm }$-boson coupling at TeV and third family fermion masses
• An effective strong-coupling theory of composite particles in UV-domain
• Is the doubler of the electron an antiquark?
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• The (11112) model on a 1+1 dimensional lattice
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
• ${\beta }_{IR}^{\prime }$ at an Infrared Fixed Point in Chiral Gauge Theories
• $W$ boson mass tension caused by its right-handed gauge coupling at high energies?
• The twisted Wilson fermion for the Standard Model on a lattice
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Higgs boson origin from a gauge symmetric theory of massive composite particles and massless $W^{\pm }$ and $Z^0$ bosons at the TeV scale
• The standard model and parity conservation
• Composite Fermions and their Pair States in a Strongly-Coupled Fermi Liquid
• Comments on ``Lattice Formulation of the Standard Model'' by Creutz. et. al
• Fermion Mass Generation without Symmetry Breaking