Weak dual symmetries of two color QCD phase diagram

Abstract

The phase diagram of two color QCD under influence of baryon density ($μ_B$), isospin ($μ_I$), chiral ($μ_5$ and $ν_5$) imbalances is investigated within the framework NJL model approach. This letter establishes the existence of weak dualities in two color quark matter--symmetries revealed when full thermodynamic potential is projected or restricted to specific condensation channels. These dualities provide a unified understanding of two interesting phenomena in the phase diagram: universal catalysis and chameleon effect of chiral chemical potential.

Figures (5)

• Figure 1: Schematic structure of weak dualities
• Figure 2: (a) ($\nu_5$, $\mu_5$)-phase diagram at $\mu=0$ and $\nu=0$ (b) ($\nu$, $\mu_5$)-phase diagram at $\mu=0$ and $\nu_5=0$ (c) Order parameter $\pi_1$ as a function of $\nu$ at $\mu_5=100$ MeV, $\mu=0$ and $\nu_5=0$ and as a function of $\mu_5$ at $\nu=100$ MeV, $\mu=0$ and $\nu_5=0$
• Figure 3: (a) ($\mu$, $\mu_5$)-phase diagram at $\nu=0$ and $\nu_5=0$ (b) Order parameter $\Delta$ as a function of $\mu$ at $\mu_5=100$ MeV, $\nu=0$ and $\nu_5=0$ (c) Order parameter $\Delta$ as a function of $\mu_5$ at $\mu=100$ MeV, $\nu=0$ and $\nu_5=0$
• Figure 4: ($\nu_5$, $\nu$)-phase diagram (a) at $\mu=400$ MeV and $\mu_5=0$; (b) ($\nu_5$, $\nu$)-phase diagram at $\mu_5=400$ MeV and $\mu=0$.
• Figure 5: (a) ($\nu$, $\mu$)-phase diagram at $\nu_5=400$ MeV and $\mu_5=0$; (b) ($\nu$, $\mu$)-phase diagram at $\mu_5=400$ MeV and $\nu_5=0$; (c) ($\nu_5$, $\mu$)-phase diagram at $\nu_5=400$ MeV and $\mu_5=0$; (d)($\nu_5$, $\mu$)-phase diagram at $\mu_5=400$ MeV and $\nu_5=0$.