We formulate the Hartree-Fock method in large-N approximation using a functional integral approach. We then derive an exact renormalization group equation for the effective action. We organize the QED corrections into higher and low energy parts. The former is calculated by many authors. To find the latter we perform a low energy decomposition of the nuclear charge and electron mass. The renormalization group equation yields a system of ODEs for coefficients of the expansion.
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order
The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction
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