Abstract In this article, we study the two-flavor Nambu and Jona-Lasinio (NJL) phase diagrams on the T–μ plane through three regularization methods. In one of these, we introduce an infrared three-momentum cutoff in addition to the usual ultraviolet regularization to the quark loop integrals and compare the obtained phase diagrams with those obtained from the NJL model with proper time regularization and Pauli–Villars regularization. We have found that the crossover appears as a band with a well-defined width in the T–μ plane. To determine the extension of the crossover zone, we propose a novel criterion, comparing it to another criterion that is commonly reported in the literature; we then obtain the phase diagrams for each criterion. We study the behavior of the phase diagrams under all these schemes, focusing on the influence of the regularization procedure on the crossover zone and the presence or absence of critical end points.

中文翻译：

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两种风味 Nambu-Jona-Lasinio 模型中交叉区对正则化方法的依赖性

摘要 在本文中，我们通过三种正则化方法研究了 T-μ 平面上的两种风味 Nambu 和 Jona-Lasinio (NJL) 相图。在其中之一中，除了通常的紫外线正则化之外，我们还对夸克环积分引入了红外三动量截止，并将获得的相图与从具有适当时间正则化和 Pauli-Villars 正则化的 NJL 模型中获得的相图进行比较。我们发现交叉点在 T-μ 平面中表现为一个具有明确定义的宽度的带。为了确定交叉区域的扩展，我们提出了一个新的标准，将其与文献中常见的另一个标准进行比较；然后我们获得每个标准的相图。我们研究了所有这些方案下相图的行为，