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We apply a functional perturbative approach to the calculation of theequal-time two-point correlation functions and the potential between staticcolor charges to one-loop order in Coulomb gauge Yang-Mills theory. Thefunctional approach proceeds through a solution of the Schroedinger equationfor the vacuum wave functional to order g^2 and derives the equal-timecorrelation functions from a functional integral representation via newdiagrammatic rules. We show that the results coincide with those obtained fromthe usual Lagrangian functional integral approach, extract the beta function,and determine the anomalous dimensions of the equal-time gluon and ghosttwo-point functions and the static potential under the assumption ofmultiplicative renormalizability to all orders.

Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory