论文标题

奇怪夸克物质的状态方程:将nambu - jona-lasinio模型链接到扰动QCD

Equation of state for strange quark matter: Linking the Nambu--Jona-Lasinio model to perturbative QCD

论文作者

Pinto, Marcus Benghi

论文摘要

中子星的约束和{\ it i n hibio} PQCD评估要求代表冷夸克物质的EOS在中间的男性重音密度上僵硬,而在高$ N_B $上柔软。在这里,我建议三种具有依赖性排斥耦合的三种风味NJL模型,即$ g_v(μ)$,可以生成一个EOS,该EOS在这两个方案之间进行了插值。这种插值要求在手性转变后,拒绝随着化学势开始降低。这种机制背后的猜想是,只有在有效质量的夸克冷凝物具有非呈现值的情况下,应排斥。该假设确保了最初硬的EOS在$ {\ cal e} \ simeq 0.7 \,{\ rm Gev fm^{ - 3}} $中的显着变化,在较高的能量密度下收敛到PQCD结果。然后,声音的速度自然达到$ n_b = 3.23 \,n_0 = 0.52 \,{\ rm fm}^{ - 3} $,而痕量异常对所有密度呈阳性,均与最近的研究一致,而痕量异常仍然呈阳性。当$ g_v $消失或具有固定值时,这些非平凡的结果{\它不能同时获得。因此,此处提出的简单模型能够将中间密度的(非扰动)区域连接到PQCD变得可靠的区域。

Neutron star constraints and {\it ab initio} pQCD evaluations require the EoS representing cold quark matter to be stiff at intermediate baryonic densities and soft at high-$n_B$. Here, I suggest that the three flavor NJL model with a density dependent repulsive coupling, $G_V(μ)$, can generate an EoS which interpolates between these two regimes. Such an interpolation requires repulsion to start decreasing with the chemical potential just after chiral transition takes place. The conjecture behind this mechanism is that repulsion should be necessary only as long as the quark condensates, which dress the effective masses, have non-vanishing values. This assumption guarantees that an initially hard EoS suffers a conspicuous change of slope at ${\cal E} \simeq 0.7 \,{\rm GeV fm^{-3}}$ converging to the pQCD results at higher energy densities. Then, the speed of sound naturally reaches a non-conformal maximum at $n_B = 3.23 \, n_0 = 0.52 \, {\rm fm}^{-3}$ while the trace anomaly remains positive for all densities, in agreement with recent investigations. These non-trivial results {\it cannot} be simultaneously obtained when $G_V$ vanishes or has a fixed value. Therefore, the simple model proposed here is able to link the (non-perturbative) region of intermediate densities to the region where pQCD becomes reliable.

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