论文标题

一环NJL模型:在有限温度下,集体和非集体激发对夸克冷凝物的影响

One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature

论文作者

Pereira, Renan Câmara, Costa, Pedro

论文摘要

我们探索在有限温度下在两个口味Nambu $ -Jona-Lasinio模型中加入量子波动的效果。这是以对称保存方式来完成的,通过分别来自复杂平面中的杆和分支切割的单循环差距方程中的集体和非集体模式来完成。包括玻色子截止值为$λ_b$是正规化介子环动量的必要条件。该新参数用于研究超越夸克冷凝物中常规平均场近似的影响。随着温度的升高,手性对称性趋于恢复,集体模式融化,只有非聚光模式有助于夸克冷凝物。通过包含此类模式,有限温度下的夸克冷凝物具有与将要探索的平均场水平不同的行为。

We explore the effect of including quantum fluctuations in the two flavor Nambu$-$Jona-Lasinio model at finite temperature. This is accomplished, in a symmetry preserving way, by including collective and noncollective modes in the one-meson-loop gap equation which originate from poles and branch cuts in the complex plane, respectively. The inclusion of a boson cutoff, $Λ_b$, is necessary to regularize the meson-loop momenta. This new parameter is used to study the influence of going beyond the usual mean field approximation in the quark condensate. As the temperature increases, chiral symmetry tends to get restored, the collective modes melt and only noncollective modes contribute to the quark condensate. With the inclusion of such modes, the quark condensate at finite temperature has a different behavior than at mean field level that will be explored.

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