LOCALIZATION OF MATTERS ON A NON-Z2-SYMMETRIC THICK BRANE

2010 ◽  
Vol 25 (07) ◽  
pp. 511-523
Author(s):  
JUN LIANG ◽  
YI-SHI DUAN
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Yukawa Coupling ◽  
Spinor Field ◽  
Zero Mode ◽  
Parallel Transport ◽  
Type Coupling ◽  
Matter Fields

We study localization of various matter fields on a non-Z2-symmetric scalar thick brane in a pure geometric Weyl integrable manifold in which variations in the length of vectors during parallel transport are allowed and a geometric scalar field is involved in its formulation. It is shown that, for spin 0 scalar field, the massless zero mode can be normalized on the brane. Spin 1 vector field cannot be normalized on the brane. And there is no spinor field which can be trapped on the brane for the case of no Yukawa-type coupling. By introducing the appropriate Yukawa coupling, the left or right chiral fermionic zero mode can be localized on the brane.

scholarly journals Fermion localization in braneworld teleparallel f(T, B) gravity

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
A. R. P. Moreira ◽  
J. E. G. Silva ◽  
C. A. S. Almeida
Keyword(s):  
Scalar Field ◽  
Yukawa Coupling ◽  
Spinor Field ◽  
Quantum Potential ◽  
Boundary Term ◽  
Dirac Spinor ◽  
Kaluza Klein ◽  
Fermion Localization

AbstractWe study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f(T, B) gravity. Here, f(T, B) is such that $$f_1(T,B)=T+k_1B^{n_1}$$ f 1 ( T , B ) = T + k 1 B n 1 and $$f_2(T,B)=B+k_2T^{n_2}$$ f 2 ( T , B ) = B + k 2 T n 2 , where $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 parameters control the width of the massless Kaluza–Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.

Fermion localization on branes with non-standard kinetic terms

2018 ◽  
Vol 33 (40) ◽  
pp. 1850235 ◽  
Author(s):  
Masoumeh Moazzen Sorkhi ◽  
Esmaeil Mazani
Keyword(s):  
Scalar Field ◽  
Yukawa Coupling ◽  
Zero Mode ◽  
Scalar Fields ◽  
Coupling Constants ◽  
Warp Factor ◽  
Coupling Mechanism ◽  
Fermion Fields ◽  
Derivative Term ◽  
Fermion Localization

In this paper, by using the Yukawa coupling mechanism, we consider the fermion localization in two types of braneworld models driven by real scalar fields with non-standard dynamics. Because of the existing freedom in the form of the Yukawa coupling, we consider two coupling forms between the background scalar field and spinors where one is arising from the geometry shape of the warp factor and the other is a function of the background scalar field containing a derivative scalar-fermion coupling. With two coupling functions, it is shown that the massless zero mode of fermion fields is localized on both branes with generalized dynamic depending on the values of the coupling constants. However, there is no localized mode when the Yukawa coupling only contains a derivative term of the background scalar field. Furthermore, effects of the parameters of the models on the zero mode and fermion effective potential are addressed.

scholarly journals Consistency conditions for p-form field localization on codimension two braneworlds

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
L. F. F. Freitas ◽  
G. Alencar ◽  
R. R. Landim
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Recent Work ◽  
Zero Mode ◽  
Consistency Condition ◽  
Einstein's Equations ◽  
Codimension Two ◽  
Consistency Conditions ◽  
Form Field ◽  
Field Localization

AbstractIn a recent work (Eur. Phys. J. C 80(5), 432, 2020), the present authors obtained general stringent conditions on the localization of fields in braneworlds by imposing the requirement that its zero mode must satisfy Einstein’s equations (EEs). In this manuscript, we continue this study by considering free p-form fields. These fields present an on-shell equivalency relation between a p-form and a $$(D-p-2)$$ ( D - p - 2 ) -form, provided by a Hodge duality (HD) transformation. This symmetry will impose a new consistency condition, namely, confinement of a p-form on the brane must imply the localization of its dual. We apply the above two conditions to 6D braneworld models. With this, we find that in global string-like defects, for example, the 1-form field has a normalizable zero mode. By using the HD as a guide, we show that its bulk dual 3-form field also has a normalizable zero mode, making the confinement consistent with HD. However, these solutions cannot be made consistent with EE, therefore, these fields must be ruled out. In fact, by imposing both conditions, only the scalar field and its dual can be consistently localized in codimension two braneworlds. In this way, all the literature so far in which the free vector field (1-form) is localized in codimension two models should be reviewed. These results also point to the fact that the symmetries of the fields can be used to verify the consistency of their localization and even prohibit it.

Black hole in balance with dark matter

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040050
Author(s):  
Boris E. Meierovich
Keyword(s):  
Black Hole ◽  
Dark Matter ◽  
Phase Equilibrium ◽  
Vector Field ◽  
Scalar Field ◽  
Total Mass ◽  
Metric Tensor ◽  
Static Solutions ◽  
Tensor Formula ◽  
Galaxy Rotation Curves

Equilibrium of a gravitating scalar field inside a black hole compressed to the state of a boson matter, in balance with a longitudinal vector field (dark matter) from outside is considered. Analytical consideration, confirmed numerically, shows that there exist static solutions of Einstein’s equations with arbitrary high total mass of a black hole, where the component of the metric tensor [Formula: see text] changes its sign twice. The balance of the energy-momentum tensors of the scalar field and the longitudinal vector field at the interface ensures the equilibrium of these phases. Considering a gravitating scalar field as an example, the internal structure of a black hole is revealed. Its phase equilibrium with the longitudinal vector field, describing dark matter on the periphery of a galaxy, determines the dependence of the velocity on the plateau of galaxy rotation curves on the mass of a black hole, located in the center of a galaxy.

Field models

2021 ◽  
pp. 42-69
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Spinor Field ◽  
Vector Fields ◽  
Sigma Model ◽  
Complex Scalar ◽  
Yang Mills ◽  
Scalar Field Models ◽  
Complex Scalar Field ◽  
Mills Field

This chapter provides constructions of Lagrangians for various field models and discusses the basic properties of these models. Concrete examples of field models are constructed, including real and complex scalar field models, the sigma model, spinor field models and models of massless and massive free vector fields. In addition, the chapter discusses various interactions between fields, including the interactions of scalars and spinors with the electromagnetic field. A detailed discussion of the Yang-Mills field is given as well.

scholarly journals ZERO MODE OF GRAVITINO ON SCALAR FLAT THICK BRANES

2009 ◽  
Vol 24 (25) ◽  
pp. 2005-2011
Author(s):  
LI-JIE ZHANG ◽  
SHAO-FENG WU ◽  
GUO-HONG YANG
Keyword(s):  
Yukawa Coupling ◽  
Zero Mode ◽  
Fermionic Field ◽  
Zero Modes ◽  
Gravitino Field ◽  
Thick Branes

The localization of the spin-3/2 gravitino field on thick branes with a Yukawa coupling is studied in this paper. We show that, for spin-3/2 fermionic field, there exist normalizable zero modes which can be localized on the flat thick branes under certain conditions.

Phenomenological approach to the viable nonmetric relativistic scalar 4-vector theory of gravitation

1995 ◽  
Vol 73 (3-4) ◽  
pp. 187-192 ◽  
Author(s):  
Alexander A. Vlasov
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Gravitational Radiation ◽  
Phenomenological Approach ◽  
Gravitational Theory ◽  
Nonlinear Scalar Field ◽  
Minkowski Space Time ◽  
Vector Theory ◽  
Theory Of Gravitation ◽  
Relativistic Gravitational Theory

Contrary to the hypothesis that every viable theory of gravitation must be the metric one, this paper presents the example of nonmetric relativistic gravitational theory on the basis of Minkowski space-time, where the gravitation is described by a mixture of the nonlinear scalar field and the linear 4-vector field, compatible with all the known post-Newtonian gravitational tests, with tests on gravitational radiation from binary pulsar PSR 1913 + 16 and with the ordinary cosmological notions.

A note on generalized Robertson–Walker space-times

2016 ◽  
Vol 13 (06) ◽  
pp. 1650079 ◽  
Author(s):  
Carlo Alberto Mantica ◽  
Young Jin Suh ◽  
Uday Chand De
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Perfect Fluid ◽  
Curvature Tensor ◽  
Weyl Tensor ◽  
Space Time ◽  
Stiff Matter ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Mass Less Scalar Field

A generalized Robertson–Walker (GRW) space-time is the generalization of the classical Robertson–Walker space-time. In the present paper, we show that a Ricci simple manifold with vanishing divergence of the conformal curvature tensor admits a proper concircular vector field and it is necessarily a GRW space-time. Further, we show that a stiff matter perfect fluid space-time or a mass-less scalar field with time-like gradient and with divergence-free Weyl tensor are GRW space-times.

Some Remarks on Gravitational Interaction and Gravitational Waves

1965 ◽  
Vol 20 (4) ◽  
pp. 495-497
Author(s):  
G. Braunss
Keyword(s):  
Scalar Field ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Nonlinear Theory ◽  
Strong Interaction ◽  
Spinor Field ◽  
Gravitational Interaction ◽  
Metric Tensor ◽  
Free Wave

A brief consideration of the problem of gravitational waves is given on the basis of the following assumption: The components of the metric tensor are functionals of a field by which, in the sense of HEISENBERG’S nonlinear theory, all other fields resp. the corresponding interactions can be deduced. For the sake of mathematical simplicity a scalar field Φ (noncharged bosons) is considered instead of a spinor field. The condition gmn=gmn (Φ) resp. Rmn = Rmn (Φ) leads to the statement that the concept of a free gravitational wave, i. e. a wave which is a solution of Rmn=0 or Rklmn = 0, cannot be accepted. A free wave is here by definition a wave which is so far from the origin that one can neglect in the field eqs. all terms which represent a strong interaction. A comparison with a spinor field leads, with regard to this definition, to the conclusion that a free wave may be considered as a neutrino wave and gravitation as the weakest interaction possible of neutrino fields.

ASPECTS OF HADRONS AT FINITE BARYONIC DENSITY

2007 ◽  
Vol 16 (09) ◽  
pp. 2830-2833 ◽  
Author(s):  
FÁBIO L. BRAGHIN
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Ground State ◽  
Sigma Model ◽  
Dynamical Symmetry ◽  
Linear Sigma Model ◽  
Baryonic Density ◽  
The Stability ◽  
Classical Vector ◽  
Symmetry Breakings

The linear sigma model at finite baryonic density with a massive classical vector field is investigated considering that all the bosonic fields develop non zero expected classical values, eventually corresponding to dynamical symmetry breakings. The densities involving baryons are calculated using the solutions of the Dirac equation coupled to the classical vector and scalar field. The stability and ground state conditions are analyzed with particular (variational-like) prescriptions. Some aspects of relevance for states containing anti-hadrons and also for the restoration of chiral symmetry are discussed.

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