  Event-chain Monte Carlo (ECMC) accelerates the sampling of hard-sphere
systems, and has been generalized to the potentials used in classical molecular
simulation. Rather than imposing detailed balance on transition probabilities,
the method enforces a weaker global-balance condition in order to guarantee
convergence to equilibrium. In this paper we generalize the factor-field
variant of ECMC to higher space dimensions. In the two-dimensional fluid phase,
factor-field ECMC saturates the lower bound $z=0$ for the dynamical scaling
exponent for local dynamics, whereas molecular dynamics is characterized by
$z=1$ and local Metropolis Monte Carlo by $z=2$. In the presence of hexatic
order, factor fields are not found to speed up the convergence. We indicate
applications to the physics of glasses, and note that generalizations of factor
fields could couple to orientational order.
