Gapless Hartree-Fock Resummation Scheme for the O(N) Model

Abstract

A modified selfconsistent Hartree-Fock approximation to the lambda*phi^4 theory with spontaneously broken O(N) symmetry is proposed. It preserves all the desirable features, like conservation laws and thermodynamic consistency, of the selfconsistent Dyson scheme generated from a 2PI functional, also known as the Phi-derivable scheme, while simultaneously respecting the Nambu-Goldstone theorem in the chiral-symmetry broken phase. Various approximate resummation schemes are discussed.

arXiv comment13 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

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• Conserving Gapless Mean-Field Theory for Weakly Interacting Bose Gases
• Self-consistent perturbation expansion for Bose-Einstein condensates satisfying Goldstone's theorem and conservation laws
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• Counterterm resummation for 2PI-approximation in constant background
• Role reversal in first and second sound in a relativistic superfluid
• On the symmetry improved CJT formalism in the $O(4)$ linear sigma model
• Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• The renormalized and Renormalization-Group invariant Hartree-Fock approximation
• Finite Temperature Description of an Interacting Bose Gas
• The O(2) model in polar coordinates at nonzero temperature
• Casimir effect in a dilute Bose gas in canonical ensemble within improved Hartree-Fock approximation
• Soft symmetry improvement of two particle irreducible effective actions
• Dynamics of Resonances in Strongly Interacting Systems
• Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas
• Supersymmetric approximations to the 3D supersymmetric O(N) model
• Renormalization of the 2PI-Hartree approximation in a broken phase with nonzero superflow
• Improved Hartree--Fock resummations and spontaneous symmetry breaking
• The condensed fraction of a homogeneous dilute Bose gas within the improved Hartree-Fock approximation
• Density of condensate of a dilute Bose gas in improved Hartree-Fock approximation