Abstract:
A new meron cluster algorithm is constructed to study the
finite temperature critical behavior of the chiral
condensate in a $(3+1)$ dimensional model of interacting
staggered fermions. Using finite size scaling analysis the
infinite volume condensate is shown to be consistent with
the behavior of the form $(T_c-T)^{0.314(7)}$ for
temperatures less than the critical temperature and
$m^{1/4.87(10)}$ at the critical temperature confirming that
the critical behavior belongs to the 3-d Ising universality
class within one to two sigma deviation. The new method,
along with improvements in the implementation of the
algorithm, allows the determination of the critical
temperature $T_c$ more accurately than was possible in a
previous study.