Our increasing ability to carry out unquenched simulations means that the quenched approximation is no longer required. There is an outstanding issue associated with the quenched continuum limit, however, which we address here. At the same time we point out the ingredients that are necessary to obtain an accurate result in the continuum limit, since these ingredients will also be important for ...

We study the behavior of solutions Helmholtz equation $(- \Delta_{disc,h} - E)u_h = f_h$ on a periodic lattice as mesh size $h$ tends to 0. Projecting eigenspace characteristic root $\lambda_h(\xi)$ and using gauge transformation associated with Dirac point, we show that transformed solution $u_h$ converges for $(P(D_x) E)v g$ continuous model ${\bf R}^d$, where $\lambda_h(\xi) \to P(\xi)$. For...

Trial states describing anyonic quasiholes in the Laughlin state were found early on, and it is therefore natural to expect that one should also be able create quasielectrons. Nevertheless, existing trial wavefunctions for quasielectrons show behaviors are not compatible with expected topological properties or their construction involves ad hoc elements. It was shown, however, lattice fractiona...