Nambu–Jona-Lasinio model with a fractal inspired coupling

IF 4.3 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
E. Megías , M.J. Teixeira , V.S. Timóteo , A. Deppman
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引用次数: 0

Abstract

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.
具有分形启发耦合的Nambu-Jona-Lasinio模型
Nambu-Jona-Lasino模型通过包含由量子色动力学分形方法获得的运行耦合进行了修改。耦合遵循q指数函数,在高能碰撞的背景下,解释了Tsallis非广泛统计分布的起源。参数q完全由颜色的数量和夸克口味的数量决定。我们研究了扩展模型的几个方面,并将我们的结果与标准NJL模型进行了比较,在标准NJL模型中,常数耦合与锐截断结合使用来正则化间隙方程。我们证明了改进的耦合以光滑的截止方式正则化模型,并再现了介子质量和衰变常数,提供了与标准NJL模型几乎相同的Gell-Mann-Oakes-Renner关系。在这两种模型中,这种关系在相似的截止尺度上得到满足。这项工作的一个重要的新颖之处在于,用分形QCD真空来解释使夸克凝聚物重新规范化的运行耦合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physics Letters B
Physics Letters B 物理-物理:综合
CiteScore
9.10
自引率
6.80%
发文量
647
审稿时长
3 months
期刊介绍: Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.
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