Gravity as Yang-Mills gauge theory

Dehnen, H.; Ghaboussi, F.

doi:10.1016/0550-3213(85)90069-0

Cited by 9 publications

(6 citation statements)

References 8 publications

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“…One can adopt the standpoint that all non-gravitational fields should somehow uniquely determine the gravitational field and its mass (9) . Among other interesting theories that appeared in the middle of the eighties, there is a successful elegant Yang-Mills field theory of gravitation presented by H. Dehnen et al (10) This theory is based on a unitary phase gauge invariance of the Lagrangian, where the gauge transformations are those of SU(2) × U(1) symmetry of the two spinors. In the classical limit this microscopic theory results in Einstein's theory of gravitation.…”

Section: Introductionmentioning

confidence: 99%

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Wesson’s Induced Matter Theory with a Weylian Bulk

Israelit

2005

Found Phys

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The foundations of Wesson's induced matter theory are analyzed. It is shown that the empty-without matter-5-dimensional bulk must be regarded as a Weylian space rather than as a Riemannian one. Revising the geometry of the bulk, we have assumed that a Weylian connection vector and a gauge function exist in addition to the metric tensor. The framework of a Weyl-Dirac version of Wesson's theory is elaborated and discussed. In the 4-dimensional hypersurface (brane), one obtains equations describing both fields, the gravitational and the electromagnetic. The result is a geometrically based unified theory of gravitation and electromagnetism with mass and current induced by the bulk. In special cases on obtains on the brane the equations of Einstein-Maxwell, or these of the original induced matter theory.

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Section: Introductionmentioning

confidence: 99%

“…Dehnen et al (10) . This theory is based on a unitary phase gauge invariance of the Lagrangian, where the gauge transformations are those of SU (2) x U(1) symmetry of the two spinors.…”

Section: Introductionmentioning

confidence: 99%

Wesson’s Induced Matter Theory with a Weylian Bulk

Israelit

2005

Found Phys

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“…For this we extend back to a Yang-Mills SU(2)×U(1) spin-gauge theory of gravity on the Minkowski space-time of special relativity proposed by Dehnen et al (Dehnen, Ghaboussi, 1985 and ; see also Chisholm, Farwell, 1989).…”

Section: Introductionmentioning

confidence: 99%

Spin-gauge theory of gravity with Higgs-field mechanism

Dehnen

Hitzer

1994

Int J Theor Phys

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We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose SU(2) × U(1). After symmetry breaking a nonscalar Lorentz-covariant Higgs-field gravity appears, which can be interpreted within a classical limit as Einstein's metrical theory of gravity, where we restrict ourselves in a first step to its linearized version.2

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“…The activation of gauge group U (m) (1) on Dirac iso-spinor is advantageous so that it may further be extended to enlarge the gauge group to describe the non-Abelian correspondence of monopoles (dyons) in current grand unified and supersymmetric gauge theories associated with dyons. Consequently, U (1) × U (1) gauge group may further be extended in order to describe the built in duality between the SU (2) × U (1) gauge theory of electro-weak interaction and SU (2) × U (1) gauge theory of gravity described earlier by Dehnen et al [18] so that one can be able to understand better the current grand unified theories, supersymmetry, super-gravity and super-strings.…”

Section: U (1) × U (1) Gauge Formulation Of Dyonsmentioning

confidence: 99%

Gauge Formulation for Two Potential Theory of Dyons

Negi

Dehnen

2011

Int J Theor Phys

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Dual electrodynamics and corresponding Maxwell's equations ( in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U (1)×U (1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U (1) × U (1) gauge symmetry for the justification of two four potentials of dyons.

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Gravity as Yang-Mills gauge theory

Cited by 9 publications

References 8 publications

Wesson’s Induced Matter Theory with a Weylian Bulk

Wesson’s Induced Matter Theory with a Weylian Bulk

Spin-gauge theory of gravity with Higgs-field mechanism

Gauge Formulation for Two Potential Theory of Dyons

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