The renormalized and Renormalization-Group invariant Hartree-Fock approximation

Details The renormalized and Renormalization-Group invariant Hartree-Fock approximation The renormalized and Renormalization-Group invariant Hartree-Fock approximation

2005-04-05

arxiv.org/abs/hep-ph/0504029v1

Phys.Rev. D72 (2005) 065003

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, 13 figures

Scientific paper

10.1103/PhysRevD.72.065003

We study the renormalization problem for the Hartree--Fock approximation of the $O(N)-$invariant $\phi^4$ 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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