Abstract:
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.