膜物质场在f(R, Q, P)重力作用下的几何变形

IF 4.2 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS The European Physical Journal C Pub Date : 2024-12-21 DOI:10.1140/epjc/s10052-024-13684-8
Fernando M. Belchior, Roberto V. Maluf, Albert Yu. Petrov, Paulo J. Porfírio
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引用次数: 0

摘要

在膜世界场景中,实标量场通过提供膜的厚度起着至关重要的作用。在这项工作中,我们研究了在f(R, Q, P)引力框架内的一个共维1厚膜,其中R表示曲率标量,而\(Q=R_{\mu \nu }R^{\mu \nu }\)和\(P=R_{\mu \nu \alpha \beta }R^{\mu \nu \alpha \beta }\)是二次几何不变量。我们的兴趣是研究这些不变量对标量场解和膜的能量密度的影响。此外,我们利用类汤川耦合与标量场背景分析了自旋1/2费米子和引力子的局域化。这样的耦合能够为两个字段产生可归一化的零模式。
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Geometrical deformation of brane matter field within f(R, Q, P) gravity

In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of f(RQP) gravity, where R represents the curvature scalar, while \(Q=R_{\mu \nu }R^{\mu \nu }\) and \(P=R_{\mu \nu \alpha \beta }R^{\mu \nu \alpha \beta }\) are quadratic geometric invariants. Our interest is to investigate the influence of these invariants on the scalar field solution and the energy density of the brane. Furthermore, we analyze the localization of spin 1/2 fermions and the gravitino by employing a Yukawa-like coupling with the scalar field background. Such a coupling is able to produce a normalizable zero-mode for both fields.

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来源期刊
The European Physical Journal C
The European Physical Journal C 物理-物理:粒子与场物理
CiteScore
8.10
自引率
15.90%
发文量
1008
审稿时长
2-4 weeks
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