Bose-Einstein condensation in dense quark matter

Abstract

We consider the problem of Bose condensation of charged pions in QCD at finite isospin chemical potential ${\mu }_I$ using the O(4)-symmetric linear sigma model as an effective field theory for two-flavor QCD. Using the 2PI $1/N$-expansion, we determine the quasiparticle masses as well as the pion and chiral condensates as a function of the temperature and isospin chemical potential in the chiral limit and at the physical point. At T=0, Bose condensation takes place for chemical potentials larger than $m_{\pi }$. In the chiral limit, the chiral condensate vanishes for any finite value of ${\mu }_I$.

Talk given at Strong and Electroweak matter 2008, Amsterdam August 25-29 2008. Four pages and two figures. 2nd version: typos fixed and updated list of refs

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