Geometrical deformation of brane matter field within f(R, Q, P) gravity

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

引用次数: 0

Abstract

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(R, Q, P) 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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膜物质场在f（R， Q， P）重力作用下的几何变形

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。

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

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

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.