We review the theoretical developments and conceptual advances that stemmed from the
generalization of QCD to the limit of a large number of color charges, originally proposed by't …

The fixed point Dirac operator on the lattice has exact chiral zero modes on topologically
non-trivial gauge field configurations independently whether these configurations are …

The fixed-point (FP) action in QCD, although it is local and determined by classical
equations, is difficult to parametrize well and is expensive to simulate. But the stake is high …

The classically perfect action of QCD requires no tuning to get the pion massless in the
broken phase: the critical bare mass mqc is zero. Neither the vector nor the flavour non …

We use perturbation theory to construct perfect lattice actions for quarks and gluons. The
renormalized trajectory for free massive quarks is identified by blocking directly from the …

We present the first set of quenched QCD measurements using the recently parametrized
fixed-point Dirac operator DFP. We also give a general and practical construction of …

Lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation is
perhaps the best known formulation of QCD with a finite cutoff. It reproduces all the low …

We discuss a number of lattice fermion actions solving the Ginsparg-Wilson relation. We
also consider short ranged approximate solutions. In particular, we are interested in …

We describe a number of aspects in our attempt to construct an approximately perfect lattice
action for QCD. Free quarks are made optimally local on the whole renormalized trajectory …

A bstract Lattice actions and amplitudes that perfectly mirror continuum physics are known
as perfect discretizations. Such perfect discretizations naturally preserve the symmetries of …