闵可夫斯基空间<inline-formula>$ R^{{\bf 1\textbf{+}}\textbf{(}{\bf 1}\textbf{+}\ n\textbf{)}}$</inline-formula>中的Faddeev模型

刘思杰, 刘见礼, 盛万成

doi:10.12066/j.issn.1007-2861.2298

上海大学学报(自然科学版) >

2023 , Vol. 29 >Issue 1: 175 - 184

DOI: https://doi.org/10.12066/j.issn.1007-2861.2298

研究论文

闵可夫斯基空间$ R^{{\bf 1\textbf{+}}\textbf{(}{\bf 1}\textbf{+}\ n\textbf{)}}$中的Faddeev模型

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上海大学理学院, 上海 200444

刘见礼(1981—), 男, 副教授, 研究方向为应用偏微分方程. E-mail: jlliu@shu.edu.cn

收稿日期: 2021-04-01

网络出版日期: 2021-04-30

基金资助

国家自然科学基金资助项目(11771274);上海市自然科学基金资助项目(20ZR1419400)

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Faddeev model in Minkowski space $ R^{{\bf 1\textbf{+}}\textbf{(}{\bf 1}\textbf{+} n\textbf{)}}$

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College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2021-04-01

Online published: 2021-04-30

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摘要

Faddeev模型是经典场论中用结状拓扑孤子来模拟重基本粒子的重要模型, 是粒子物理中经典非线性Sigma模型的推广, 与著名的Skyrme模型也有密切的关系. 给出了闵可夫斯基空间$R^{1+(1+n)}$中Faddeev模型的方程推导, 证明了方程具有一些重要的性质, 并给出了一些精确解.

关键词： 拟线性双曲组; Faddeev模型; 精确解

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刘思杰, 刘见礼, 盛万成 . 闵可夫斯基空间$ R^{{\bf 1\textbf{+}}\textbf{(}{\bf 1}\textbf{+}\ n\textbf{)}}$中的Faddeev模型[J]. 上海大学学报(自然科学版), 2023 , 29(1) : 175 -184 . DOI: 10.12066/j.issn.1007-2861.2298

Abstract

The Faddeev model is used in modeling heavy elementary particles by topological knotted solitons in classical field theory. It is a generalization of the well-known classical nonlinear sigma model of Gell-Mann and Levy. In addition, it is closely related to the celebrated Skyrme model. In this paper, we derive the equation of the Faddeev model in the Minkowski space $R^{1+(1+n)}$, and show that the system enjoys many interesting properties, and provide some exact solutions in special cases.

Key words： quasilinear hyperbolic systems; Faddeev model; exact solutions

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