Lattice Chirality

Abstract

The external fermion propagator and the internal fermion propagator in the overlap are given by different matrices. A generic problem (formulated by Pelissetto) faced by all chiral, non-local, propagators of Rebbi type is avoided in this manner. Nussinov-Weingarten-Witten mass inequalities are exactly preserved. It is sketched how to obtain simple lattice chiral Yukawa models and simple expressions for covariant currents. Going beyond my oral presentation, I have added to the write-up several comments on Niedermayer's talk. His transparencies are available on the internet.

LATTICE98(chiral)

References in corpus (2)

• Vector like gauge theories with almost massless fermions on the lattice
• Large Mass Expansion versus Small Momentum Expansion of Feynman Diagrams

Cited by in corpus (17)

• Bounds on the Wilson Dirac Operator
• Chiral symmetry breaking at large N_c
• Axial vector current of exact chiral symmetry on the lattice
• Proposal for the numerical solution of planar QCD
• Chiral Logs in Quenched QCD
• Universal Scaling of the Chiral Condensate in Finite-Volume Gauge Theories
• GW fermion propagators and chiral condensate
• Noncompact chiral U(1) gauge theories on the lattice
• On 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
• Fermions on tori in uniform abelian fields
• Large N reduction on a twisted torus
• General bounds on the Wilson-Dirac operator
• Chiral symmetry restoration at finite temperature in the planar limit
• A note on the exact lattice chiral symmetry in the overlap formalism
• More about chiral symmetry restoration at finite temperature in the planar limit