标题： 致密三色和两色QCD的双重对称性以及一些类似QCD的NJL模型 显示英文标题

标题： Dual symmetries of dense three and two-color QCD and some QCD-like NJL models

摘要： 在本文中，在无质量的(3+1)维Nambu--Jona-Lasinio (NJL)和QCD模型框架下，研究了由$u$和$d$夸克组成的致密夸克物质的相图的对称性性质，这些夸克具有两个或三个颜色。 结果表明，在存在重子$\mu_B$、同位旋$\mu_I$、手征$\mu_5$和手征同位旋$\mu_{I5}$化学势的情况下，这些模型的拉格朗日量对于所谓的对偶变换是不变的。 因此，整个NJL模型（或QCD）的热力学势具有对偶对称性。 特别是，这意味着在这些模型的总$(\mu_B,\mu_I,\mu_5,\mu_{I5})$-相图中，手征对称性破缺（CSB）和带电介子凝聚（PC）相彼此对偶共轭（或对称）（在三色模型的情况下）。 而在两色夸克物质的情况下，这些模型预测了整个相结构，其中CSB、带电PC和重子超流相之间存在对偶对称性。 显示英文摘要

摘要： In this paper the symmetry properties of the phase diagram of dense quark matter composed of $u$ and $d$ quarks with two or three colors has been investigated in the framework of massless (3+1)-dimensional Nambu--Jona-Lasinio (NJL) and QCD models. It turns out that in the presence of baryon $\mu_B$, isospin $\mu_I$, chiral $\mu_5$ and chiral isospin $\mu_{I5}$ chemical potentials the Lagrangians of these models are invariant under the so-called dual transformations. Consequently, the entire NJL model (or QCD) thermodynamic potentials are dually symmetric. In particular, it means that in the total $(\mu_B,\mu_I,\mu_5,\mu_{I5})$-phase portraits of these models the chiral symmetry breaking (CSB) and charged pion condensation (PC) phases are arranged dually conjugated (or symmetrical) to each other (in the case of three-color models). Whereas in the case of two-color quark matter, these models predict the entire phase structure in which there are dual symmetries between CSB, charged PC and baryon superfluid phases.