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

Examine the free naive Fermion Propagator for m = 0D(p)∣ = −ia∑ µ γ µsin(ap µ )∑m=0 µ sin2 (ap µ )Poles at p µ = 0,π/a ⇒ 2d Fermion states!Theorem (Nielsen, Ninomiya ‘81): You CAN’T have all of thefollowing◮ Chiral Symmetry of the form{D,γ 5 } = 0 , D = ∑ µγ µ D µ◮ No fermion doublers◮ A real, local action.