On the symmetry improved CJT formalism in the $O(4)$ linear sigma model

Abstract

By using the symmetry improved CJT effective formalism developed by Pilaftsis and Teresi, the chiral phase transition is reconsidered in the framework of the $O(4)$ linear sigma model in chiral limit. Our results confirm the restorations of the second-order phase transition and the Goldstone theorem in the Hartree approximation. Finally, we explicitly calculate the effective potentials via the order parameter for various temperatures and address advantages of the present method in comparison with the $O(N)$ model in large-$N$ approximation.

11 pages, 3 figures, corrected typos and added references, Accepted for publication in Nuclear Physics A

References in corpus (8)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Pion and Kaon Condensation at Finite Temperature and Density
• Symmetry Improved CJT Effective Action
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase
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• Symmetry Improved 2PI Effective Action and the Infrared Divergences of the Standard Model
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Exact RG Invariance and Symmetry Improved 2PI Effective Potential
• Symmetry improvement of 3PI effective actions for O(N) scalar field theory
• Linear Response Theory for Symmetry Improved Two Particle Irreducible Effective Actions
• Soft symmetry improvement of two particle irreducible effective actions
• Bubble nucleation in the two-flavor quark-meson model
• Pion String evolving in a thermal bath
• Study of Hadrons Using the Gaussian Functional Method in the O(4) Linear $\sigma$ Model