Influence of chiral chemical potential <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>μ</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math> on phase structure of the two-color quark matter
T. G. Khunjua, К. Г. Клименко, R. N. Zhokhov
Abstract
In this paper the influence of chiral chemical potential ${\ensuremath{\mu}}_{5}$ on the phenomenon of diquark condensation and phase structure of dense quark matter altogether is contemplated in the framework of the effective 2-color and 2-flavor Nambu--Jona-Lasinio model. The nonzero values of baryon ${\ensuremath{\mu}}_{B}$, isospin ${\ensuremath{\mu}}_{I}$ and chiral isospin ${\ensuremath{\mu}}_{I5}$ chemical potentials are also taken into account. We show that the duality relations between diquark condensation, charged pion condensation, and chiral symmetry breaking phenomena, found in the case of zero ${\ensuremath{\mu}}_{5}$, are also valid for any value of ${\ensuremath{\mu}}_{5}\ensuremath{\ne}0$. In terms of dualities and the influence on the phase diagram, chiral imbalance ${\ensuremath{\mu}}_{5}$ stands alone from other chemical potentials. Indeed, in comparison with other chemical potentials, ${\ensuremath{\mu}}_{5}$ has two interesting features. (i) In the region of moderate values of ${\ensuremath{\mu}}_{B}$, ${\ensuremath{\mu}}_{I}$, and ${\ensuremath{\mu}}_{I5}$ it manifests itself as a universal catalyst, since it enhances just the phase that is realized in the system at ${\ensuremath{\mu}}_{5}=0$. (ii) In the second regime, when several other chemical potentials reach rather large values, one could observe a rather complicated and rich phase structure, and chiral chemical potential ${\ensuremath{\mu}}_{5}$ can be a factor that not so much catalyzes as triggers rather peculiar phases.