  We investigate critical slowing down in the local updating continuous-time
Quantum Monte Carlo method by relating the finite size scaling of Fisher Zeroes
to the dynamically generated gap, through the scaling of their respective
critical exponents. As we comment, the nonlinear sigma model representation
derived through the hamiltonian of our lattice spin model can also be used to
give a effective treatment of planar anomalous dimensions in N=4 SYM. We
present scaling arguments from our FSS analysis to discuss quantum corrections
and recent 2-loop results, and further comment on the prospects of extending
this approach for calculating higher twist parton distributions.
