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We determine the strange quark condensate from lattice QCD for the first timeand compare its value to that of the light quark and chiral condensates. Theresults come from a direct calculation of the expectation value of the trace ofthe quark propagator followed by subtraction of the appropriate perturbativecontribution, derived here, to convert the non-normal-ordered $m\bar{\psi}\psi$to the $\bar{MS}$ scheme at a fixed scale. This is then a well-defined physical`nonperturbative' condensate that can be used in the Operator Product Expansionof current-current correlators. The perturbative subtraction is calculatedthrough $\mathcal{O}(\alpha_s)$ and estimates of higher order terms areincluded through fitting results at multiple lattice spacing values. The gluonfield configurations used are `second generation' ensembles from the MILCcollaboration that include 2+1+1 flavors of sea quarks implemented with theHighly Improved Staggered Quark action and including $u/d$ sea quarks down tophysical masses. Our results are : $<\bar{s}{s}>^{\bar{MS}}(2 \mathrm{GeV})=-(290(15) \mathrm{MeV})^3$, $<\bar{l}{l}>^{\bar{MS}}(2\, \mathrm{GeV})=-(283(2) \mathrm{MeV})^3$, where $l$ is a light quark with mass equal to theaverage of the $u$ and $d$ quarks. The strange to light quark condensate ratiois 1.08(16). The light quark condensate is significantly larger than the chiralcondensate in line with expectations from chiral analyses. We discuss theimplications of these results for other calculations.

Direct determination of the strange and light quark condensates from full lattice QCD