Abstract:
The recent solution to the fermion sign problem allows, for
the first time, the use of cluster algorithm techniques to
compute certain fermionic path integrals. To illustrate the
underlying ideas behind the progress, a cluster algorithm is
constructed to study the chiral phase transition in a
strongly interacting staggered fermion model with an
arbitrary mass term in 3+1 dimensions. Unlike conventional
methods there is no difficulty in the cluster method to
approach the chiral (massless) limit. Results using the new
algorithm confirm that the chiral transition falls under the
expected universality class.