  Cluster variables have recently revolutionized numerical work in certain
models involving fermionic variables. This novel representation of fermionic
partition functions is continuing to find new applications. After describing
results from a study of a two dimensional Hubbard type model that confirm a
superconducting transition in the Kosterlitz-Thouless universality class, we
show how a cluster type algorithm can be devised to study the chiral limit of
strongly coupled lattice gauge theories with staggered fermions.
