关于由矢量介子稳定的婴儿skyrmions的存在性

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-02-01 DOI:10.1017/S0013091523000056

C. Greco

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引用次数: 0

摘要

摘要本文证明了二维Adkins-Nappi核物理模型拓扑非平凡解的存在性;为此，我们通过使用经典的Skyrme ansatz以及它的非径向对称泛化来最小化能量泛函。在这两种情况下，我们证明了最小化过程保留了最小化序列的拓扑度。

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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On the existence of baby skyrmions stabilized by vector mesons

Abstract In this paper, we prove the existence of topologically non-trivial solutions of the two-dimensional Adkins–Nappi model of nuclear physics; to this end, we minimize the energy functional by using the classical Skyrme ansatz, as well as a non-radially symmetric generalization of it. In both cases, we show that the minimization procedure preserves the topological degree of the minimization sequence.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.