Linear sigma model at finite density in the1/Nexpansion to next-to-leading order

2008/04/30 by Jens O. Andersen, Tomáš Brauner, Tomas Brauner · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.78.014030

published as Phys.Rev.D78:014030,2008 · 12 pages, REVTeX4, 6 eps figures; v2: added references + minor corrections throughout the text; version to appear in Phys. Rev. D

arxiv created 2008/06/27 · openalex publication_date 2008/07/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We study relativistic Bose-Einstein condensation at finite density and temperature using the linear sigma model in the one-particle-irreducible 1/N expansion. We derive the effective potential to next-to-leading (NLO) order and show that it can be renormalized in a temperature-independent manner. As a particular application, we study the thermodynamics of the pion gas in the chiral limit as well as with explicit symmetry breaking. At nonzero temperature we solve the NLO gap equation and show that the results describe the chiral-symmetry-restoring second-order phase transition in agreement with general universality arguments. However, due to nontrivial regularization issues, we are not able to extend the NLO analysis to nonzero chemical potential.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Novel phases and transitions in Color Flavor Locked matter
• The linear sigma model at a finite isospin chemical potential
• QCD at Finite Isospin Density
• Pion condensation in electrically neutral cold matter with finite baryon density
• Effective action for composite operators

Cited by

• Fate of pion condensation in quark matter: From the chiral limit to the physical pion mass