Kaluza-Klein theory and Dirac equation in higher dimensional Riemann-Cartan space

1996 ◽  
Vol 35 (6) ◽  
pp. 1211-1221 ◽  
Author(s):  
Guo Min Zhang ◽  
You Lin Wu
Keyword(s):  
Dirac Equation ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Kaluza Klein

On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories

1997 ◽  
Vol 12 (28) ◽  
pp. 2121-2132 ◽  
Author(s):  
Andrew Billyard ◽  
Alan Coley
Keyword(s):  
General Relativity ◽  
Exact Solutions ◽  
The Other ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Formal Equivalence ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Dimensional Version ◽  
Kaluza Klein

Using the formal equivalences between Kaluza–Klein gravity, Brans–Dicke theory and general relativity coupled to a massless scalar field, exact solutions obtained in one theory will correspond to analogous solutions in the other two theories. Often exact solutions in one theory are "rediscovered" since theory are not recognized as analogs of the corresponding solutions in one of the other theories. We review here a number of exact solutions in each of the theories, with an emphasis on identifying and presenting the higher-dimensional version of the solutions. We also briefly comment upon the formal equivalence between Kaluza–Klein theory and scalar–tensor theories in general.

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.

scholarly journals Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza–Klein theory

2012 ◽  
Vol 709 (4-5) ◽  
pp. 404-407
Author(s):  
Pablo Alejandro Sánchez ◽  
Mariano Anabitarte ◽  
Mauricio Bellini
Keyword(s):  
Dirac Equation ◽  
De Sitter ◽  
Klein Theory ◽  
Massive Neutrinos ◽  
Kaluza Klein

Black holes coupled to scalar fields in higher-dimensional Kaluza-Klein theory

1994 ◽  
Vol 26 (3) ◽  
pp. 291-298 ◽  
Author(s):  
K. D. Krori ◽  
P. Borgohain ◽  
N. K. Deka ◽  
Chandra Rekha Mahanta
Keyword(s):  
Black Holes ◽  
Scalar Fields ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Kaluza Klein

scholarly journals CP VIOLATION FROM A HIGHER DIMENSIONAL MODEL

2007 ◽  
Vol 16 (05) ◽  
pp. 1557-1570
Author(s):  
SHOICHI ICHINOSE
Keyword(s):  
Cp Violation ◽  
Effective Action ◽  
Quantum Effect ◽  
Dimensional Model ◽  
Chiral Property ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Cp Symmetry ◽  
Kaluza Klein

It is shown that Randall–Sundrum model has the EDM term which violates the CP-symmetry. The comparison with the case of Kaluza–Klein theory is done. The chiral property, localization, anomaly phenomena are examined. We evaluate the bulk quantum effect using the method of the induced effective action. This is a new origin of the CP-violation.

QUANTUM INTERFERENCE EFFECTS IN NON-ABELIAN KALUZA-KLEIN THEORY

1988 ◽  
Vol 03 (02) ◽  
pp. 187-190
Author(s):  
R.O. WEBER
Keyword(s):  
Quantum Interference ◽  
Gauge Theories ◽  
Interference Effects ◽  
Abelian Gauge ◽  
Higher Dimensional ◽  
Klein Theory ◽  
Kaluza Klein

The unification of non-abelian gauge theories and gravitation in a higher dimensional Kaluza-Klein theory is shown to unify quantum interference effects.

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