UNEXPECTED RESULTS IN THE CHIRAL LIMIT WITH STAGGERED FERMIONS
A cluster algorithm is constructed and applied to study the
chiral limit of the strongly coupled lattice Schwinger model
involving staggered fermions. The algorithm is based on a
novel loop representation of the model. Finite size scaling
of the chiral susceptibility based on data from lattices of
size up to $64\times 64$ indicates the absence of long range
correlations at strong couplings. Assuming that there is no
phase transition at a weaker coupling, the results imply
that all mesons acquire a mass at non-zero lattice spacings.
Although this does not violate any known physics, it is
surprising since typically one expects a single pion to
remain massless at non-zero lattice spacings in the
staggered fermion formulation.
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