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We report on recent progress in employing the Highly Improved Staggered Quark(HISQ) action introduced by the HPQCD/UKQCD collaboration in simulations withdynamical fermions. The HISQ action is an order $a^2$ Symanzik-improved actionwith further suppressed taste symmetry violations. The improvement in tastesymmetry is achieved by introducing Fat7 smearing of the original gauge linksand reunitarization (projection to an element of U(3) or SU(3)) followed byAsq-type smearing. Major challenges for calculating the fermion force arerelated to the reunitarization step. We present a preliminary study of the HISQaction on two 2+1+1 flavor ensembles with the lattice spacing roughlyequivalent to the MILC asqtad a=0.125 and 0.09 fm ensembles.

HISQ action in dynamical simulations