Local chiral effective field theory interactions and quantum Monte Carlo   applications
  We present details of the derivation of local chiral effective field theory interactions to next-to-next-to-leading order, and show results for nucleon-nucleon phase shifts and deuteron properties for these potentials. We then perform systematic auxiliary-field diffusion Monte Carlo calculations for neutron matter based on the developed local chiral potentials at different orders. This includes studies of the effects of the spectral-function regularization and of the local regulators. For all orders, we compare the quantum Monte Carlo results with perturbative many-body calculations and find excellent agreement for low cutoffs. 
A. Gezerlis, I. Tews, E. Epelbaum, M. Freunek, S. Gandolfi, K.   Hebeler, A. Nogga, A. Schwenk
nucl-th cond-mat.quant-gas hep-ph nucl-ex