Fermion Quantum Numbers in Kaluza-Klein Theory

1989 ◽  
pp. 1412-1462 ◽  
Author(s):  
Edward Witten
Keyword(s):  
Quantum Numbers ◽  
Klein Theory ◽  
Kaluza Klein

Effects of Cornell-type scalar potential on a generalized KG-oscillator field in Kaluza–Klein theory

2021 ◽  
Vol 36 (08n09) ◽  
pp. 2150053
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Bound States ◽  
Quantum Effect ◽  
Scalar Potential ◽  
Energy Eigenvalue ◽  
Global Parameter ◽  
Quantum Numbers ◽  
Klein Theory ◽  
Quantum Flux ◽  
Kaluza Klein

We study a generalized KG-oscillator in the five-dimensional cosmic string geometry background with a magnetic field and quantum flux using Kaluza–Klein theory under the effects of a Cornell-type scalar potential, and observe the gravitational analogue of the Aharonov–Bohm effect. We see that the scalar potential allows the formation of bound states solution, and the energy eigenvalue depends on the global parameter characterizing the space–time. We also see that the magnetic field depends on quantum numbers of the relativistic system which shows a quantum effect.

scholarly journals Quantum Effects on KG-Oscillator Feld Under a Cornell-Type Potential in Kaluza-Klein Theory

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Quantum Effect ◽  
Scalar Potential ◽  
Energy Eigenvalue ◽  
Space Time ◽  
Quantum Numbers ◽  
Klein Theory ◽  
Quantum Flux ◽  
Eigenvalue And Eigenfunction ◽  
Kaluza Klein

In this paper, we solve KG-oscillator in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux subject to a scalar potential of Cornell-type using KaluzaKlein theory, and observe the gravitational analogue of the AharonovBohm effect. We show that the energy eigenvalue and eigenfunction depends on the global parameters of the space-time, and also a quantum effect is seen due to the dependence of magnetic field on the quantum numbers of the system

Supersymmetry: Kaluza-Klein theory, anomalies, and superstrings

1985 ◽  
Vol 146 (8) ◽  
pp. 655 ◽  
Author(s):  
I.Ya. Aref'eva ◽  
I.V. Volovich
Keyword(s):  
Klein Theory ◽  
Kaluza Klein

Euler-Poincaré lagrangians and Kaluza-Klein theory

1987 ◽  
Vol 189 (1-2) ◽  
pp. 96-98 ◽  
Author(s):  
M. Arik ◽  
T. Dereli
Keyword(s):  
Klein Theory ◽  
Kaluza Klein

PHYSICAL ASPECTS OF SOLITONS IN (4+1) GRAVITY

1995 ◽  
Vol 04 (05) ◽  
pp. 639-659 ◽  
Author(s):  
ANDREW BILLYARD ◽  
PAUL S. WESSON ◽  
DIMITRI KALLIGAS
Keyword(s):  
Physical Properties ◽  
Extra Dimension ◽  
Dimensional Case ◽  
Schwarzschild Solution ◽  
Circular Orbits ◽  
Know How ◽  
Fifth Dimension ◽  
Klein Theory ◽  
Limiting Case ◽  
Kaluza Klein

The augmentation of general relativity’s spacetime by one or more dimensions is described by Kaluza-Klein theory and is within testable limits. Should an extra dimension be observable and significant, it would be beneficial to know how physical properties would differ from “conventional” relativity. In examining the class of five-dimensional solutions analogous to the four-dimensional Schwarzschild solution, we examine where the origin to the system is located and note that it can differ from the four-dimensional case. Furthermore, we study circular orbits and find that the 5D case is much richer; photons can have stable circular orbits in some instances, and stable orbits can exist right to the new origin in others. Finally, we derive both gravitational and inertial masses and find that they do not generally agree, although they can in a limiting case. For all three examinations, it is possible to obtain the four-dimensional results in one limiting case, that of the Schwarzschild solution plus a flat fifth dimension, and that the differences between 4D and 5D occur when the fifth dimension obtains any sort of significance.

scholarly journals PHOTOPRODUCTION OF DILATONS IN AN EXTERNAL MAGNETIC FIELD

2000 ◽  
Vol 15 (01) ◽  
pp. 23-28 ◽  
Author(s):  
DANG VAN SOA ◽  
HOANG NGOC LONG
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Cross Sections ◽  
Differential Cross ◽  
Numerical Evaluation ◽  
Static Magnetic Fields ◽  
Five Dimensions ◽  
High Energies ◽  
Klein Theory ◽  
Kaluza Klein

An attempt is made to present some experimental predictions of the five dimensions Kaluza–Klein theory. The conversion of photons into dilatons in the static magnetic fields are considered in detail. The differential cross-sections are presented for the conversions in a magnetic field of the flat condensor and a magnetic field of the solenoid. A numerical evaluation shows that in the present technical scenario, the creation of dilatons at high energies may have the observable value.

A HAMILTONIAN TREATMENT OF FIVE-DIMENSIONAL KALUZA–KLEIN GRAVITY

2000 ◽  
Vol 09 (04) ◽  
pp. 445-458 ◽  
Author(s):  
W. N. SAJKO
Keyword(s):  
Total Mass ◽  
Soliton Solutions ◽  
Schwarzschild Solution ◽  
Coordinate Dependence ◽  
Klein Theory ◽  
The One ◽  
Induced Matter ◽  
Classical Derivation ◽  
Area Law ◽  
Kaluza Klein

We give a Hamiltonian treatment of 5D vacuum Kaluza–Klein theory that is unrestricted in the extra coordinate dependence. When the extra coordinate dependence is removed from the 5D metric we recover the Hamiltonian for gravity and electromagetism nonminimally coupled to a scalar field. The energies of 5D uncharged and charged soliton solutions are calculated via the Hamiltonian and are identified with the total mass. The expressions for the total mass are shown to agree with the sum of scalar and gravitational masses calculated from the scalar-tensor induced matter in 4D. A semi-classical derivation of the temperature for the uncharged solitons is calculated and it is shown that the only nontrivial member of the 5D class is the 4D Schwarzschild solution trivially embedded in 5D, and therefore the entropy obeys the one-quarter area law.

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