scholarly journals Matter Localization on Brane-Worlds Generated by Deformed Defects

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Alex E. Bernardini ◽  
Roldão da Rocha
Keyword(s):  
Matter Field ◽  
Brane Worlds ◽  
Fermion Fields ◽  
Internal Structures ◽  
Global Action ◽  
Boson Fields ◽  
Mass Terms ◽  
Matter Fields ◽  
Thick Branes ◽  
Kaluza Klein

Localization and mass spectrum of bosonic and fermionic matter fields of some novel families of asymmetric thick brane configurations generated by deformed defects are investigated. The localization profiles of spin 0, spin 1/2, and spin 1 bulk fields are identified for novel matter field potentials supported by thick branes with internal structures. The condition for localization is constrained by the brane thickness of each model such that thickest branes strongly induce matter localization. The bulk mass terms for both fermion and boson fields are included in the global action as to produce some imprints on mass-independent potentials of the Kaluza-Klein modes associated with the corresponding Schrödinger equations. In particular, for spin 1/2 fermions, a complete analytical profile of localization is obtained for the four classes of superpotentials here discussed. Regarding the localization of fermion fields, our overall conclusion indicates that thick branes produce aleft-right asymmetric chirallocalization of spin 1/2 particles.

scholarly journals Fermion fields in the (non)symmetric Kaluza–Klein theory

2018 ◽  
Vol 96 (5) ◽  
pp. 529-554 ◽  
Author(s):  
M.W. Kalinowski
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higher Dimensions ◽  
Higgs Mechanism ◽  
Fermion Fields ◽  
Klein Theory ◽  
Spin Fields ◽  
Mass Terms ◽  
Bosonic Part ◽  
Kaluza Klein

The paper is devoted to the unification of fermions within nonsymmetric Kaluza–Klein theories. We obtain a Lagrangian for fermions in non-Abelian Kaluza–Klein theory and non-Abelian Kaluza–Klein theory with spontaneous symmetry breaking and Higgs’ mechanism. A Lagrangian for fermions for geometrized bosonic part of GSW (Glashow–Salam–Weinberg) model in our approach has been derived. Yukawa-type terms and mass terms coming from higher dimensions have been obtained. In the paper, 1/2-spin fields and 3/2-spin fields are considered.

scholarly journals Tensor perturbations and thick branes in higher-dimensional f(R) gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Zheng-Quan Cui ◽  
Zi-Chao Lin ◽  
Jun-Jie Wan ◽  
Yu-Xiao Liu ◽  
Li Zhao
Keyword(s):  
Effective Potential ◽  
Higher Dimensions ◽  
Brane Worlds ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Six Dimensions ◽  
Tensor Perturbations ◽  
Thick Branes ◽  
Kaluza Klein

Abstract We study brane worlds in an anisotropic higher-dimensional spacetime within the context of f(R) gravity. Firstly, we demonstrate that this spacetime with a concrete metric ansatz is stable against linear tensor perturbations under certain conditions. Moreover, the Kaluza-Klein modes of the graviton are analyzed. Secondly, we investigate thick brane solutions in six dimensions and their properties. We further exhibit two sets of solutions for thick branes. At last, the effective potential of the Kaluza-Klein modes of the graviton is discussed for the two solved f(R) models in higher dimensions.

scholarly journals Least-order torsion-gravity for fermion fields, and the nonlinear potentials in the standard models

2014 ◽  
Vol 11 (08) ◽  
pp. 1450073 ◽  
Author(s):  
Luca Fabbri
Keyword(s):  
Zero Point ◽  
Matter Field ◽  
Single Model ◽  
Point Energy ◽  
Fermion Fields ◽  
Nonlinear Potentials ◽  
Standard Models ◽  
The One ◽  
In The Beginning ◽  
Matter Fields

We will consider the least-order torsional completion of gravity for a spacetime filled with fermionic Dirac matter fields, and we study the effects of the background-induced nonlinear potentials for the matter field themselves, in terms of their effects for both standard models of physics: from the one of cosmology to that of particles, we will discuss the mechanisms of generation of the cosmological constant and particles masses as well as the phenomenology of leptonic weak-like forces and neutrino oscillations, the problem of zero-point energy, how there can be neutral massive fields as candidates for dark matter, and the avoidance of gravitationally-induced singularity formation; we will show the way in which all these different effects can nevertheless be altogether described in terms of just a single model, which will be discussed in the beginning.

scholarly journals Hierarchical structure of physical Yukawa couplings from matter field Kähler metric

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Keiya Ishiguro ◽  
Tatsuo Kobayashi ◽  
Hajime Otsuka
Keyword(s):  
String Theory ◽  
Hierarchical Structure ◽  
Matter Field ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Kähler Metric ◽  
Yukawa Couplings ◽  
String Compactifications ◽  
Kahler Metric ◽  
Matter Fields

Abstract We study the impacts of matter field Kähler metric on physical Yukawa couplings in string compactifications. Since the Kähler metric is non-trivial in general, the kinetic mixing of matter fields opens a new avenue for realizing a hierarchical structure of physical Yukawa couplings, even when holomorphic Yukawa couplings have the trivial structure. The hierarchical Yukawa couplings are demonstrated by couplings of pure untwisted modes on toroidal orbifolds and their resolutions in the context of heterotic string theory with standard embedding. Also, we study the hierarchical couplings among untwisted and twisted modes on resolved orbifolds.

scholarly journals Bulk matter fields on two-field thick branes

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Chun-E Fu ◽  
Yu-Xiao Liu ◽  
Heng Guo
Keyword(s):  
Matter Fields ◽  
Thick Branes

scholarly journals NUMERICAL SOLUTIONS IN 5D STANDING WAVE BRANEWORLD

2013 ◽  
Vol 28 (20) ◽  
pp. 1350092 ◽  
Author(s):  
MERAB GOGBERASHVILI ◽  
OTARI SAKHELASHVILI ◽  
GIORGI TUKHASHVILI
Keyword(s):  
Standing Wave ◽  
Numerical Solutions ◽  
Braneworld Model ◽  
The Right ◽  
Matter Fields ◽  
Massless Fermions ◽  
Kaluza Klein

Within the 5D standing wave braneworld model numerical solutions of the equations for matter fields with various spins are found. It is shown that corresponding action integrals are factorizable and convergent over the extra coordinate, i.e. 4D fields are localized on the brane. We find that only left massless fermions are localized on the brane, while the right fermions are localized in the bulk. We demonstrate also quantization of Kaluza–Klein excited modes in our model.

scholarly journals THE HIERARCHY PROBLEM, RADION MASS, LOCALIZATION OF GRAVITY AND 4D EFFECTIVE NEWTONIAN POTENTIAL IN STRING THEORY ON S1/Z2

2010 ◽  
Vol 25 (08) ◽  
pp. 1661-1698 ◽  
Author(s):  
ANZHONG WANG ◽  
N. O. SANTOS
Keyword(s):  
String Theory ◽  
Matter Field ◽  
Newtonian Potential ◽  
Field Equations ◽  
Hierarchy Problem ◽  
Large Extra Dimension ◽  
Gravitational Field Equations ◽  
Spatial Dimensions ◽  
Derivatives Of ◽  
Kaluza Klein

In this paper, we present a systematical study of braneworlds of string theory on S1/Z2. In particular, starting with the toroidal compactification of the Neveu–Schwarz/Neveu–Schwarz sector in D + d dimensions, we first obtain an effective D-dimensional action, and then compactify one of the D - 1 spatial dimensions by introducing two orbifold branes as its boundaries. We divide the whole set of the gravitational and matter field equations into two groups, one holds outside the two branes, and the other holds on them. By combining the Gauss–Codacci and Lanczos equations, we write down explicitly the general gravitational field equations on each of the two branes, while using distribution theory we express the matter field equations on the branes in terms of the discontinuities of the first derivatives of the matter fields. Afterwards, we address three important issues: (i) the hierarchy problem; (ii) the radion mass; and (iii) the localization of gravity, the four-dimensional Newtonian effective potential and the Yukawa corrections due to the gravitational high-order Kaluza–Klein (KK) modes. The mechanism of solving the hierarchy problem is essentially the combination of the large extra dimension and warped factor mechanisms together with the tension coupling scenario. With very conservative arguments, we find that the radion mass is of the order of 10-2 GeV. The gravity is localized on the visible brane, and the spectrum of the gravitational KK modes is discrete and can be of the order of TeV. The corrections to the four-dimensional Newtonian potential from the higher order of gravitational KK modes are exponentially suppressed and can be safely neglected in current experiments. In an appendix, we also present a systematical and pedagogical study of the Gauss–Codacci equations and Israel's junction conditions across a (D - 1)-dimensional hypersurface, which can be either spacelike or timelike.

scholarly journals Regular Bulk Solutions in Brane-Worlds with Inhomogeneous Dust and Generalized Dark Radiation

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
A. Herrera-Aguilar ◽  
A. M. Kuerten ◽  
Roldão da Rocha
Keyword(s):  
Time Evolution ◽  
Brane World ◽  
Radiation Parameter ◽  
Black String ◽  
String Solution ◽  
Dark Radiation ◽  
Brane Worlds ◽  
Bulk Solutions ◽  
Matter Fields

From the dynamics of a brane-world with matter fields present in the bulk, the bulk metric and the black string solution near the brane are generalized, when both the dynamics of inhomogeneous dust/generalized dark radiation on the brane-world and inhomogeneous dark radiation in the bulk as well are considered as exact dynamical collapse solutions. Based on the analysis on the inhomogeneous static exterior of a collapsing sphere of homogeneous dark radiation on the brane, the associated black string warped horizon is studied, as well as the 5D bulk metric near the brane. Moreover, the black string and the bulk are shown to be more regular upon time evolution, for suitable values for the dark radiation parameter in the model, by analyzing the soft physical singularities.

MULTIDIMENSIONAL COSMOLOGY AND FUNDAMENTAL CONSTANTS

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1473-1480 ◽  
Author(s):  
V. N. MELNIKOV
Keyword(s):  
Black Holes ◽  
Fundamental Constants ◽  
Fundamental Physical Constants ◽  
Cosmological Singularity ◽  
Brane Worlds ◽  
Multidimensional Cosmology ◽  
Multidimensional Models ◽  
Different Sources ◽  
Fundamental Physical ◽  
Kaluza Klein

Studies of multidimensional models with different sources (models with S -branes, thin and thick brane worlds, Kaluza-Klein type models in curvature-nonlinear multidimensional gravity etc.) and their application to the cosmological constant, cosmological singularity, hierarchy and coincidence problems are presented. Their observational predictions: variations of fundamental physical constants, new types of black holes and wormholes are discussed.

On the extra force in brane world scenario

2014 ◽  
Vol 11 (10) ◽  
pp. 1450083
Author(s):  
Aurel Bejancu ◽  
Hani Reda Farran
Keyword(s):  
Brane World ◽  
Point Of View ◽  
Null Geodesics ◽  
Brane Worlds ◽  
Horizontal Connection ◽  
Theor Phys ◽  
Kaluza Klein

In the study of the dynamics in a 5D bulk from brane world scenario, an extra force with abnormal properties was detected (cf. [D. Youm, Extra force in brane worlds, Phys. Rev. D62 (2000) 084002; D. Youm, Null geodesics in brane world universe, Mod. Phys. Lett. A16 (2001) 2371; L. F. Zhang and Y. Z. Zhang, Null geodesics in brane world scenarios, Commun. Theor. Phys. (Beijing)41 (2004) 48]). In this paper, by using the Riemannian horizontal connection introduced in [A. Bejancu, A new point of view on general Kaluza–Klein theories, Progr. Theor. Phys.128 (2012) 541], we give a new definition for the extra force in a 5D bulk, and show that it does not contradict the 4D physics. In particular, we show that this force appears very rarely along geodesics in a warped 5D bulk.

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