The influence of quark anomalous magnetic moment in the Nambu–Jona-Lasinio model with different regularizations

IF 1.1 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
William R. Tavares, Rodrigo M. Nunes, Sidney S. Avancini, Ricardo L. S. Farias
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引用次数: 0

Abstract

The Nambu–Jona-Lasinio model is known for its simplicity and capacity to reproduce some of the basic characteristics of the quantum chromodynamics phase diagram. However, since it is a nonrenormalizable model, there are regularization issues that should be treated conveniently. This is the case when considering the quark anomalous magnetic moment (AMM) when external constant magnetic fields are present. Regularization procedures based on entangled functions between the magnetic field and the cutoff of the model can predict first-order phase transitions for chiral symmetry restoration at finite values of magnetic fields and inverse magnetic catalysis. The strengths of magnetic fields explored in NJL model and lattice QCD do not show first-order phase transition. In the present work, we show that some of the previous results are regularization-dependent effects and how to handle the divergences using the vacuum magnetic regularization scheme.

不同正则化的南布-若纳-拉西尼奥模型中夸克反常磁矩的影响
南布-若纳-拉西尼奥模型以其简单性和能够再现量子色动力学相图的一些基本特征而著称。然而,由于它是一个不可正则化的模型,有一些正则化问题需要方便地处理。在考虑存在外部恒定磁场时的夸克反常磁矩(AMM)时就是这种情况。基于磁场与模型截止点之间纠缠函数的正则化程序,可以预测有限磁场值下手性对称性恢复的一阶相变和逆磁催化。在 NJL 模型和晶格 QCD 中探索的磁场强度并不显示一阶相变。在本研究中,我们证明了之前的一些结果是正则化依赖效应,以及如何使用真空磁正则化方案来处理发散。
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来源期刊
Astronomische Nachrichten
Astronomische Nachrichten 地学天文-天文与天体物理
CiteScore
1.80
自引率
11.10%
发文量
57
审稿时长
4-8 weeks
期刊介绍: Astronomische Nachrichten, founded in 1821 by H. C. Schumacher, is the oldest astronomical journal worldwide still being published. Famous astronomical discoveries and important papers on astronomy and astrophysics published in more than 300 volumes of the journal give an outstanding representation of the progress of astronomical research over the last 180 years. Today, Astronomical Notes/ Astronomische Nachrichten publishes articles in the field of observational and theoretical astrophysics and related topics in solar-system and solar physics. Additional, papers on astronomical instrumentation ground-based and space-based as well as papers about numerical astrophysical techniques and supercomputer modelling are covered. Papers can be completed by short video sequences in the electronic version. Astronomical Notes/ Astronomische Nachrichten also publishes special issues of meeting proceedings.
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