Gauge theory of a group of diffeomorphisms. III. The fiber bundle description

1988 ◽  
Vol 29 (1) ◽  
pp. 258-267 ◽  
Author(s):  
Eric A. Lord ◽  
P. Goswami
Keyword(s):  
Gauge Theory ◽  
Fiber Bundle ◽  
Group Of Diffeomorphisms

FIVE-DIMENSIONAL CHERN–SIMONS GRAVITY WITH NONLINEAR ELECTRODYNAMICS

2001 ◽  
Vol 16 (38) ◽  
pp. 2421-2429 ◽  
Author(s):  
ALFREDO MACÍAS ◽  
ENRIQUE LOZANO
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
Dimensional Reduction ◽  
Fiber Bundle ◽  
Reduction Process ◽  
Nonlinear Electrodynamics ◽  
Dimensional Theory ◽  
Chern Simons ◽  
Bonnet Term ◽  
Bundle Structure

We consider five-dimensional theory of gravity proposed recently by Chamseddine. It is based on the Chern–Simons five-form and the SO(1,5) gauge group. The action naturally contains a Gauss–Bonnet term, an Einstein term and a cosmological constant. We shall see that by imposing to this action the five-dimensional principal fiber bundle structure and the toroidal dimensional reduction process, the resulting U(1) gauge theory contains non-minimal couplings to gravity and nonlinear modifications to the standard Einstein–Maxwell–dilaton theory.

Gauge theory of a group of diffeomorphisms. I. General principles

1986 ◽  
Vol 27 (9) ◽  
pp. 2415-2422 ◽  
Author(s):  
Eric A. Lord ◽  
P. Goswami
Keyword(s):  
Gauge Theory ◽  
Group Of Diffeomorphisms

A GEOMETRICAL THEORY OF NON-TOPOLOGICAL MAGNETIC MONOPOLES

1989 ◽  
Vol 04 (02) ◽  
pp. 175-185 ◽  
Author(s):  
MARCIO A. FARIA-ROSA ◽  
WALDYR A. RODRIGUES
Keyword(s):  
Gauge Theory ◽  
Variational Principle ◽  
Fiber Bundle ◽  
Magnetic Monopoles ◽  
Geometrical Theory ◽  
Field Equations ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Clifford Bundle ◽  
Mathematical Design

A theory of magnetic monopoles without strings has been recently formulated by Rosa, Recami and Rodrigues2 using the Clifford bundle formalism. Although that formalism seems to be a perfect mathematical design for the electrodynamics with monopoles without strings, it is insufficient for the introduction of analogous monopoles in a non abelian gauge theory without the sacrificing of the geometrization of the theory. Here, we present a geometrical theory of the generalized monopoles without strings as a principal fiber bundle with group G × G (a spliced bundle). We obtain the generalized field equations from the variational principle in the spliced bundle.

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