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Lattice realization of $\xi$ gauge
We perform a lattice implement of $\xi$ gauge, a more general covariant gauge. We will present the performance of our lattice realization in $\xi$ gauge and primary results of gluon propagators and dynamical overlap quark propagators with $\xi \in [0, 0.2]$. We calculate several renormalization constants under $\xi$ gauge configurations and discuss the gauge invariance under the MS-bar scheme through RI/MOM scheme (perturbative region). We hope this implement provides a new choice to check gauge dependency in numerical calculation.