  Simulating the kappa(800) on the lattice is a challenging task that starts to
become feasible due to the rapid progress in recent-years lattice QCD
calculations. As the resonance is broad, special attention to finite-volume
effects has to be paid, because no sharp resonance signal as from avoided level
crossing can be expected. In the present article, we investigate the finite
volume effects in the framework of unitarized chiral perturbation theory using
next-to-leading order terms. After a fit to meson-meson partial wave data,
lattice levels for piK scattering are predicted. In addition, levels are shown
for the quantum numbers in which the sigma(600), f_0(980), a_0(980), phi(1020),
K*(892), and rho(770) appear, as well as the repulsive channels. Methods to
extract the kappa(800) signal from the lattice spectrum are presented. Using
pseudo-data, we estimate the precision that lattice data should have to allow
for a clear-cut extraction of this resonance. To put the results into context,
in particular the required high precision on the lattice data, the sigma(600),
the P-wave resonances K*(892) and rho(770), and the repulsive piK, pipi phases
are analyzed as well.
