Abstract:
The partition function of two dimensional
massless staggered
fermions interacting with U(N) gauge fields
is rewritten in
terms of loop variables in the strong
coupling limit. We use
this representation of the theory to devise a
non-local
Metropolis algorithm to calculate the chiral
susceptibility.
For small lattices our algorithm reproduces
exact results
quite accurately. Applying this algorithm to
large volumes
yields rather surprising results. In
particular we find
$m_\pi \neq 0$ for all $N$ and it increases
with $N$. Since
the talk was presented we have found reasons
to believe that
our algorithm breaks down for large volumes
questioning the
validity of our results.