A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

NN thm workaround: Settle for the chiral symmetry (Ginsparg,Wilson ‘82) (Luscher, ‘98){D,γ 5 } = aDγ 5 DThe Overlap operator (Neuberger ‘97)[D (ov) = ρ 1+ √ A ], A = D W −ρA † AD W = γ µ ∇ µ − ar2 ∇2No gauge fields ⇒ D ovpp ′ = d(p)δ pp ′At finite a, action obeys a (modified) SU(2) Lφ → Uφ,U ∈ SU(2)ψ L = ˆP − ψ → Uψ L , ¯ψ L = ¯ψP + → ¯ψ L U †ˆP ± = 1± ˆγ 5 ( a, ˆγ 5 = γ 5 1−2 ρ Dov)