论文标题
NAMBU- JONA-LASINIO模型，具有分形灵感耦合
Nambu--Jona-Lasinio model with a fractal inspired coupling
论文作者
论文摘要
NAMBU - JONA-LASINO模型是通过包含通过分形方法获得量子染色体动力学获得的运行耦合来改变的。耦合遵循$ Q $ - 指数函数，在高能冲突的背景下，解释了Tsallis非扩展统计分布的起源。参数$ q $是根据颜色数量和夸克风味数量完全确定的。我们研究了扩展模型的几个方面，并将结果与标准NJL模型进行了比较，在该模型中，将恒定的耦合与急剧的截止相结合，以使间隙方程正常。我们表明，修改后的耦合以平滑的截止方式将模型正常，并重现斜质量和衰减常数，从而提供了与标准NJL模型中几乎相同的Gell-Mann-Oakes-Renner关系。在这两种模型中，在类似的截止量表中都满足关系。这项工作的一个重要新颖性是从分形真空中的物理解释，用于将夸克冷凝物重新构函数的运行耦合。
The Nambu--Jona-Lasino model is modified by the inclusion of a running-coupling that was obtained by a fractal approach to Quantum Chromodynamics. The coupling follows a $q$-exponential function and, in the context of high energy collisions, explains the origin of the Tsallis non-extensive statistics distributions. The parameter $q$ is completely determined in terms of the number of colours and the number of quark flavours. We study several aspects of the extended model and compare our results to the standard NJL model, where a constant coupling is used in combination with a sharp cutoff to regularize the gap equation. We show that the modified coupling regularizes the model in a smooth cutoff fashion and reproduces the pion mass and decay constant, providing an almost identical Gell-Mann-Oakes-Renner relation as in the standard NJL model. In both models the relation is satisfied in similar cutoff scales. An important novelty of this work is the physical explanation, in terms of the fractal QCD vacuum, for a running coupling that renormalizes the quark condensate.
