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We derive an efficient and unbiased method for computing order parameters incorrelated electron systems with competing instabilities. Charge, magnetic andpairing fluctuations above the energy scale of spontaneous symmetry breakingare taken into account by a functional renormalization group flow, while theformation of order below that scale is treated in mean-field theory. The methodcaptures fluctuation driven instabilities such as $d$-wave superconductivity.As a first application we study the competition between antiferromagnetism andsuperconductivity in the ground state of the two-dimensional Hubbard model.

Competing order in correlated electron systems made simple: Consistent fusion of functional renormalization and mean-field theory