  Lattice QCD with staggered fermions can be formulated in dual variables to
address the finite baryon density sign problem. In the past we have performed
simulations in the strong coupling regime, including leading order gauge
corrections. In order to vary the temperature for fixed $\beta$ it was
necessary to introduce a bare anisotropy. In this talk we will extend our work
to include results from a non-perturbative determination of the physical
anisotropy $a_\sigma$/$a_\tau = \xi(\gamma, \beta)$, which is necessary to
unambiguously locate the critical end point and the first order line of the
chiral transition.
