Gapless Hartree-Fock resummation scheme for theO(N)model

2005/02/28 by Yu. B. Ivanov, F. Riek, J. Knoll · 50 citations
Mathematics · Physics and Astronomy · #Conservation law #Consistency (knowledge bases) #Discrete mathematics #High-Energy Particle Collisions Research #Lambda #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Resummation #cond-mat.other #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.71.105016

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(10) (American Physical Society) · 13 pages, 10 figures / Version accepted by Phys. Rev. D: the introduction has been expanded by a few remarks in order to further clarify the goal of the paper

arxiv created 2005/05/11 · openalex publication_date 2005/05/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A modified self-consistent Hartree-Fock approximation to the \ensuremathλ\ensuremathφ⁴ theory with spontaneously broken O(N) symmetry is proposed. It preserves all the desirable features, like conservation laws and thermodynamic consistency, of the self-consistent Schwinger-Dyson scheme generated from a 2PI functional, also known as the \ensuremathΦ-derivable scheme, while simultaneously respecting the Nambu-Goldstone theorem in the chiral-symmetry broken phase. Various approximate resummation schemes are discussed.

Citations

• Study of the O(N) linear σ model at finite temperature using the 2PPI expansion
• Theory of the weakly interacting Bose gas
• Field theories with « Superconductor » solutions
• Mean-field treatment of the linear σ model in dynamical calculations of DCC observables
• Exact Conservation Laws of the Gradient Expanded Kadanoff–Baym Equations
• Summation and renormalization of bubble graphs to all orders
• The axial vector current in beta decay
• A non-perturbative treatment of the pion in the linear σ-model
• Off-equilibrium dynamics of the primordial perturbations in the inflationary universe: TheO(N)<mml:mn/>model
• Effective action for composite operators
• Self-consistent approximations to non-equilibrium many-body theory
• Broken Symmetries

Cited by

• Transition temperature of a two-component Bose-Einstein condensates in improved Hartree-Fock approximation
• Ward Identities for the 2PI effective action in QED
• Constraining the effective action by a method of external sources