Nonperturbative QCD corrections to one-gluon exchange quark potentials under Lorentz gauge condition

We derive the non-local two-gluon vacuum expectation value with translational invariance in Lorentz gauge. By means of the obtained two-gluon vacuum expectation value, the lowest dimentional nonperturbative QCD corrections to one gluon exchange quark-quark, quark-antiquark and q (q) over bar pairexcitation potentials are given.