Patterns of Symmetry Breaking in QCD at High Baryon Density

Abstract

We study the structure of QCD at very large baryon density for an arbitrary number of flavors $N_f$. We provide evidence that for any number of flavors larger than $N_f=2$ chiral symmetry remains broken at asymptotically large chemical potential. For $N_c=N_f=3$, chiral symmetry breaking follows the standard pattern $SU(3{)}_L\times SU(3{)}_R\to SU(3)$, but for $N_f>3$ unusual patterns emerge. We study the case $N_f=3$ in more detail and calculate the magnitude of the chiral order parameters $<\bar{\psi }\psi >$ and $<(\bar{\psi }\psi {)}^2>$ in perturbative QCD. We show that, asymptotically, $<\bar{\psi }\psi {>}^{1/3}$ is much smaller than $<(\bar{\psi }\psi {)}^2{>}^{1/6}$. The result can be understood in terms of an approximate discrete symmetry.

23 pages, revtex, erratum added

References in corpus (2)

• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Quark Description of Hadronic Phases

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