We study the renormalization problem for the Hartree-Fock approximation of the O(N) invariant 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 a mean-field type but includes memory effects which are generically nonlocal also in space. © 2005 The American Physical Society.
Destri, C., Sartirana, A. (2005). Renormalized and renormalization-group invariant Hartree-Fock approximation. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 72(6), 065003 [10.1103/PhysRevD.72.065003].
Renormalized and renormalization-group invariant Hartree-Fock approximation
DESTRI, CLAUDIO;
2005
Abstract
We study the renormalization problem for the Hartree-Fock approximation of the O(N) invariant 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 a mean-field type but includes memory effects which are generically nonlocal also in space. © 2005 The American Physical Society.
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