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Kaon condensation and Goldstone's theorem

2001/08/31 by T Schäfer, T. Schaefer, D. T. Son +5 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)01265-5

published as Phys.Lett. B522 (2001) 67-75 · 13 pages, 1 figure, Latex

arxiv created 2001/09/14 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider QCD at a nonzero chemical potential for strangeness. At a critical value of the chemical potential equal to the kaon mass, kaon condensation occurs through a continuous phase transition. We show that, when the isospin symmetry is exact in the Lagrangian, a Goldstone boson with a dispersion relation E ∼ p2 appears in the kaon condensed phase. At the same time, the number of the Goldstone bosons is less than the number of broken generators. Both phenomena are familiar in non-relativistic systems. We interpret our results in terms of a Goldstone boson counting rule found previously by Nielsen and Chadha. We also formulate a criterion sufficient for the equality between the number of Goldstone bosons and the number of broken generators.

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