Renormalized and renormalization-group invariant Hartree-Fock approximation

2005/04/05 by C. Destri, Claudio Destri, Andrea Sartirana
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #hep-ph

paper · pdf · doi:10.1103/physrevd.72.065003

published as Phys.Rev. D72 (2005) 065003 · 32 pages, 13 figures

arxiv created 2005/04/05 · openalex publication_date 2005/09/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the renormalization problem for the Hartree-Fock approximation of the O(N) invariant \ensuremathφ⁴ 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.

Citations

• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation ofλϕ4field theory
• Renormalization and resummation in field theories
• O(N) linear sigma model beyond the Hartree approximation at finite temperature
• Nonequilibrium dynamics of the O(N) linear sigma model
• Nonequilibrium quantum fields in the large-Nexpansion
• Effective Action Method for Computing Next to Leading Corrections of O(N) Models
• Effective action for composite operators