Criteria of a Copositive Tensor with Application to Check Vacuum Stability of a General Scalar Potential

IF 1 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-08-25 DOI:10.1007/s10440-025-00739-5

Chunye Wang, Jianxing Zhao

引用次数: 0

Abstract

Existing literature shows that the vacuum stability of a general scalar potential is equivalent to the strict copositivity of its corresponding coupling tensor. In order to judge the copositivity of a coupling tensor, we provide two criteria of a strict copositive tensor, and show their correctness and effectiveness via two practical examples by checking the vacuum stability of a general scalar potential for \(\mathbb{Z}_{3}\) scalar dark matter.

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合张量的判据及其在检验一般标量势的真空稳定性中的应用

已有文献表明，一般标量势的真空稳定性等价于其对应耦合张量的严格共容性。为了判断耦合张量的共占性，我们给出了严格共占张量的两个判据，并通过两个实例验证了\(\mathbb{Z}_{3}\)标量暗物质的一般标量势的真空稳定性，证明了它们的正确性和有效性。

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

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.