General couplings of four dimensional Maxwell–Klein–Gordon system: Global existence

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Theoretical and Mathematical Physics Pub Date : 2021-05-25 DOI:10.4310/atmp.2022.v26.n1.a4
Mulyanto, F. Akbar, B. Gunara
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引用次数: 1

Abstract

In this paper, we consider the multi component fields interactions of the complex scalar fields and the electromagnetic fields (Maxwell-Klein-Gordon system) on four dimensional Minkowski spacetime with general gauge couplings and the scalar potential turned on. Moreover, the complex scalar fields span an internal manifold assumed to be Kähler. Then, by taking the Kähler potential to be bounded by U(1)N symmetric Kähler potential, the gauge couplings to be bounded functions, and the scalar potential to be the form of either polynomial, sine-Gordon, or Toda potential, we prove the global existence of the system.
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四维Maxwell-Klein-Gordon系统的一般耦合:全局存在性
本文考虑了四维闵可夫斯基时空中具有一般规范耦合和开启标量势的复标量场与电磁场(麦克斯韦-克莱因-戈登系统)的多分量场相互作用。此外,复标量场张成一个假定为Kähler的内部流形。然后,通过取以U(1)N个对称Kähler势为界的Kähler势,规范耦合为有界函数,标量势为多项式、sin - gordon或Toda势的形式,证明了系统的整体存在性。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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