Renormalization-Group Flow Analysis of Meson Condensations in Dense Matter

Abstract

We present a renormalization-group (RG) flow argument for s-wave kaon condensation in dense nuclear-star matter predicted in chiral perturbation theory. It is shown that it is the {\it relevant} mass term together with {\it any} attractive interaction for the kaon in medium that triggers the instability. We show that a saddle point of multi-dimensional RG flow can imply a phase transition. Pion condensation is also analyzed along the same line of reasoning.

12 pages, 2 figures, (latex 36k+90k)

References in corpus (5)

• Renormalization Group Approach to Interacting Fermions
• Non-Fermi Liquid Fixed Point in 2+1 Dimensions
• Low Energy Dynamics of the Spinon-Gauge System
• Cheshire Cat Hadrons
• Kaon Condensation in ``Nuclear Star" Matter

Cited by in corpus (7)

• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Kaon Condensation in Dense Stellar Matter
• Study of Strangeness Condensation by Expanding About the Fixed Point of the Harada-Yamawaki Vector Manifestation
• Dense Stellar Matter with Strange Quark Matter Driven by Kaon Condensation
• Kaon Condensation in Baryonic Fermi Liquid at High Density
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• Why {\em Explicit} Strangeness Is Not Relevant In Compact Stars