DIRAC FIELD IN THE FIVE-DEMENSIONAL KALUZA-KLEIN THEORY WITH SCALAR FIELD

1992 ◽  
Vol 07 (21) ◽  
pp. 5105-5113 ◽  
Author(s):  
A. MACÍAS ◽  
H. DEHNEN
Keyword(s):  
Scalar Field ◽  
Dirac Equation ◽  
Ground State ◽  
Mass Term ◽  
Dirac Field ◽  
Electron Mass ◽  
Dimensional Theory ◽  
Klein Theory ◽  
Kaluza Klein

In this work we investigate the five-dimensional Kaluza-Klein theory with a scalar field contained in the metric, where a Dirac-field is coupled to the metric field. We find that in the four-dimensional theory a nontrivial ground state for the scalar field exists and therefore the mass term in the Dirac equation can be interpreted, for example, as the electron mass.

DIRAC FIELD IN THE EIGHT-DIMENSIONAL KALUZA-KLEIN THEORY

1992 ◽  
Vol 07 (02) ◽  
pp. 103-116 ◽  
Author(s):  
A. MACIAS ◽  
H. DEHNEN
Keyword(s):  
Higgs Mechanism ◽  
Dirac Field ◽  
Dimensional Theory ◽  
Gauge Bosons ◽  
Mixing Angles ◽  
Curved Space ◽  
Left Handed ◽  
Group Manifold ◽  
Klein Theory ◽  
Kaluza Klein

We consider the eight-dimensional Kaluza-Klein theory where the extra dimensions are a SU(2)×U(1) group manifold. A Dirac-field is coupled to the metric field. As a result we obtain that the four-dimensional theory is non-chiral and contains no-kind of Higgs mechanism to predict gauge bosons, quark and lepton masses and mixing angles, although it exhibit to possess all gauge bosons and fermionic isospin couplings for left-handed particles of a Weinberg-Salam theory in a curved space-time.

Experimental tests of an improved 5D Kaluza-Klein theory

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040027
Author(s):  
Jean Paul Mbelek
Keyword(s):  
Experimental Data ◽  
Scalar Field ◽  
Experimental Tests ◽  
Torsion Pendulum ◽  
Klein Theory ◽  
Kaluza Klein

We recall the motivation for an external scalar field, [Formula: see text], and show how it helps to improve the 5D Kaluza-Klein theory. Various applications of the theory that fit observational or experimental data in the laboratory as well as in the cosmological or astrophysical contexts are mentioned. Special attention is given to the last version of the experiment showing evidence of a torque on a torsion pendulum as predicted by the theory. New arguments that motivate extradimensions are put forward.

scholarly journals SPIN GAUGE THEORY OF GRAVITY IN CLIFFORD SPACE: A REALIZATION OF KALUZA–KLEIN THEORY IN FOUR-DIMENSIONAL SPACE–TIME

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5905-5956 ◽  
Author(s):  
MATEJ PAVŠIČ
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Dirac Field ◽  
Spin Connection ◽  
Yang Mills ◽  
Object A ◽  
Klein Theory ◽  
Dimensional Space Time ◽  
The Right ◽  
Kaluza Klein

A theory in which four-dimensional space–time is generalized to a larger space, namely a 16-dimensional Clifford space (C-space) is investigated. Curved Clifford space can provide a realization of Kaluza–Klein. A covariant Dirac equation in curved C-space is explored. The generalized Dirac field is assumed to be a polyvector-valued object (a Clifford number) which can be written as a superposition of four independent spinors, each spanning a different left ideal of Clifford algebra. The general transformations of a polyvector can act from the left and/or from the right, and form a large gauge group which may contain the group U (1) × SU (2) × SU (3) of the standard model. The generalized spin connection in C-space has the properties of Yang–Mills gauge fields. It contains the ordinary spin connection related to gravity (with torsion), and extra parts describing additional interactions, including those described by the antisymmetric Kalb–Ramond fields.

scholarly journals ASTROPHYSICAL EVIDENCE FOR AN EXTRA DIMENSION: PHENOMENOLOGY OF A KALUZA–KLEIN THEORY

2013 ◽  
Vol 28 (18) ◽  
pp. 1330013
Author(s):  
D. PUGLIESE ◽  
G. MONTANI
Keyword(s):  
Three Dimensional ◽  
Geometric Theory ◽  
Relativistic Astrophysics ◽  
Dimensional Theory ◽  
Static Vacuum ◽  
Construction Of Self ◽  
Klein Theory ◽  
The Stability ◽  
Vacuum Solutions ◽  
Kaluza Klein

In this brief review, we discuss the viability of a multi-dimensional geometrical theory with one compactified dimension. We discuss the case of a Kaluza–Klein (KK) fifth-dimensional theory, addressing the problem by an overview of the astrophysical phenomenology associated with this five-dimensional (5D) theory. By comparing the predictions of our model with the features of the ordinary (four-dimensional (4D)) Relativistic Astrophysics, we highlight some small but finite discrepancies, expectably detectible from the observations. We consider a class of static, vacuum solutions of free electromagnetic KK equations with three-dimensional (3D) spherical symmetry. We explore the stability of the particle dynamics in these spacetimes, the construction of self-gravitating stellar models and the emission spectrum generated by a charged particle falling on this stellar object. The matter dynamics in these geometries has been treated by a multipole approach adapted to the geometric theory with a compactified dimension.

scholarly journals GAUGE THEORIES AS A GEOMETRICAL ISSUE OF A KALUZA–KLEIN FRAMEWORK

2005 ◽  
Vol 14 (07) ◽  
pp. 1195-1231 ◽  
Author(s):  
FRANCESCO CIANFRANI ◽  
ANDREA MARROCCO ◽  
GIOVANNI MONTANI
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Gauge Theories ◽  
Dimensional Manifold ◽  
Unification Theory ◽  
Klein Theory ◽  
Electroweak Model ◽  
Quark Generation ◽  
Kaluza Klein

We present a geometrical unification theory in a Kaluza–Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive gauge charge conservation from the invariance of the model under extra-dimensional translations and to geometrize gauge connections for spinors, in order to make possible to introducing matter just through free spinorial fields. Then we present the applications to (i) a pentadimensional manifold V4 ⊗ S1 so reproducing the original Kaluza–Klein theory with some extensions related to the rule of the scalar field contained in the metric and to the introduction of matter through spinors with a phase dependance from the fifth coordinate, (ii) a seven-dimensional manifold V4 ⊗ S1 ⊗ S2, in which we geometrize the electroweak model by introducing two spinors for every leptonic family and quark generation and a scalar field with two components with opposite hypercharge responsible for spontaneous symmetry breaking.

Dirac field in the five-dimensional Kaluza-Klein theory

1991 ◽  
Vol 8 (1) ◽  
pp. 203-208 ◽  
Author(s):  
A Macias ◽  
H Dehnen
Keyword(s):  
Dirac Field ◽  
Klein Theory ◽  
Kaluza Klein

scholarly journals TIME IN THE SEMICLASSICAL APPROXIMATION TO QUANTUM GRAVITY COUPLED WITH A BACKGROUND SCALAR FIELD AND KALUZA-KLEIN THEORY

1995 ◽  
Vol 10 (13) ◽  
pp. 1905-1915
Author(s):  
YOSHIAKI OHKUWA
Keyword(s):  
Scalar Field ◽  
Quantum Gravity ◽  
Semiclassical Approximation ◽  
Matter Field ◽  
Time Variable ◽  
Time Coordinate ◽  
Quantum Matter ◽  
Klein Theory ◽  
Original Time ◽  
Kaluza Klein

We consider the semiclassical approximation to quantum gravity coupled with a background scalar field and a quantum matter field. We define the semiclassical time variable and write down the Schrödinger equation for the quantum matter field. This can be rewritten into the form whose time variable is the original time coordinate, when the relation of Hamilton-Jacobi holds. It is shown that the four-dimensional semiclassical time with a background scalar field is related to the five-dimensional semiclassical time without it by means of the Kaluza-Klein dimensional reduction.

SEMICLASSICAL DECAY OF KALUZA-KLEIN VACUUM IN HIGHER DERIVATIVE GRAVITY

1993 ◽  
Vol 08 (17) ◽  
pp. 1621-1626
Author(s):  
BIPLAB BHAWAL ◽  
H.S. MANI
Keyword(s):  
Physical Properties ◽  
Ground State ◽  
Space Time ◽  
Higher Derivative ◽  
Klein Theory ◽  
Decay State ◽  
Kaluza Klein

Semiclassical decay of the ground state of Kaluza-Klein theory has been studied in the context of higher derivative corrections to the Einstein action. Two solutions describing the decay state of the vacuum have been obtained. The first solution is asymptotic to the Witten bubble space-time, whereas the second solution is entirely new, but with the same physical properties. Properties of these solutions are discussed.

scholarly journals PALATINI FORMALISM OF FIVE-DIMENSIONAL KALUZA–KLEIN THEORY

2005 ◽  
Vol 20 (05) ◽  
pp. 345-353 ◽  
Author(s):  
YOU DING ◽  
YONGGE MA ◽  
MUXIN HAN ◽  
JIANBING SHAO
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Palatini Formalism ◽  
Klein Theory ◽  
Kaluza Klein

The Einstein field equations can be derived in n dimensions (n>2) by the variations of the Palatini action. The Killing reduction of five-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are preserved by the Killing vector field. A Palatini formalism of four-dimensional action for gravity coupled to a vector field and a scalar field is obtained, which gives exactly the same field equations in Kaluza–Klein theory.

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