  The lattice gauge theory for curved spacetime is formulated. A discretized
action is derived for both gluon and quark fields which reduces to the
generally covariant form in the continuum limit. Using the Wilson action, it is
shown analytically that for a general curved spacetime background, two
propagating gluons are always color-confined. The fermion-doubling problem is
discussed in the specific case of Friedman-Robertson-Walker metric. Lastly, we
discussed possible future numerical implementation of lattice QCD in curved
spacetime.
