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arXiv · hep-ph/0504029

The renormalized and Renormalization-Group invariant Hartree-Fock approximation

Claudio Destri·Andrea Sartirana
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Abstract

We study the renormalization problem for the Hartree--Fock approximation of the $O(N)-$invariant $ϕ^4$ model in the symmetric phase and show how to systematically improve the corresponding diagrammatic resummation to achieve the correct renormalization properties of the effective field equations, including Renormalization--Group invariance with the one--loop beta function. These new Hartree--Fock dynamics is still of mean field type but includes memory effects which are generically nonlocal also in space.

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Claudio Destri, Andrea Sartirana. 2005-04-05. The renormalized and Renormalization-Group invariant Hartree-Fock approximation. https://doi.org/10.1103/physrevd.72.065003

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