Gauge formulation of gravitation theories. II. The special conformal case

Иванов, Евгений Алексеевич; Niederle, J.

doi:10.1103/physrevd.25.988

Cited by 61 publications

(103 citation statements)

References 2 publications

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“…In 1980, Stelle and West [27] investigated the NLR induced by the spontaneous breakdown of SO (3,2). In 1982 Ivanov and Niederle considered nonlinear gauge theories of the Poincaré, de Sitter, conformal and special conformal groups [28,29]. In 1983, Ivanenko and Sardanashvily [30] considered gravity to be a spontaneously broken GL(4, R) gauge theory.…”

Section: While the Gauge Groups Involved In The Standardmentioning

confidence: 99%

Deriving the mass of particles from Extended Theories of Gravity in LHC era

Capozziello

Basini

2011

Eur. Phys. J. C

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We derive a geometrical approach to produce the mass of particles that could be suitably tested at LHC. Starting from a 5D unification scheme, we show that all the known interactions could be suitably deduced as an induced symmetry breaking of the non-unitary GL(4)-group of diffeomorphisms. The deformations inducing such a breaking act as vector bosons that, depending on the gravitational mass states, can assume the role of interaction bosons like gluons, electroweak bosons or photon. The further gravitational degrees of freedom, emerging from the reduction mechanism in 4D, eliminate the hierarchy problem since generate a cut-off comparable with electroweak one at TeV scales. In this "economic" scheme, gravity should induce the other interactions in a non-perturbative way.

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Section: While the Gauge Groups Involved In The Standardmentioning

confidence: 99%

Deriving the mass of particles from Extended Theories of Gravity in LHC era

Capozziello

Basini

2011

Eur. Phys. J. C

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“…Finally, it is worth to mention here the papers [38], [39] closely related to the circle of problems discussed in this Section.…”

Section: Gravitation Theories As Gauge Theoriesmentioning

confidence: 99%

“…The basic problem with such formulations was how to covariantly eliminate other gauge fields associated with these tangent-space groups, which include some other generators in parallel with the translation-like ones. In our papers [38,39] with Jiri Niederle (1939 -2010), the correct way of deriving various versions of gravitation theories by gauging the groups in the tangent space was formulated. It was shown there how to construct the correct formulations which make manifest the deep analogies of the gravitation theories with the standard Yang-Mills theories and ensure the covariance of the conditions eliminating the redundant gauge fields (actually, these constraints are quite similar to the inverse Higgs conditions).…”

Section: Gravitation Theories As Gauge Theoriesmentioning

confidence: 99%

Gauge fields, nonlinear realizations, supersymmetry

Ivanov¹

2016

Phys. Part. Nuclei

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“…In 1980, Stelle and West [22] investigated the NLR induced by the spontaneous breakdown of SO (3,2). In 1982 Ivanov and Niederle considered nonlinear gauge theories of the Poincaré, de Sitter, conformal and special conformal groups [23,24]. In 1983, Ivanenko and Sardanashvily [25] considered gravity to be a spontaneously broken GL(4, R) gauge theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism

Ali

Capozziello

2007

Int. J. Geom. Methods Mod. Phys.

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A gauge theory of gravity based on a nonlinear realization (NLR) of the local Conform-Affine (CA) group of symmetry transformations is presented. The coframe fields and gauge connections of the theory are obtained. The tetrads and Lorentz group metric are used to induce a spacetime metric. The inhomogenously transforming (under the Lorentz group) connection coefficients serve as gravitational gauge potentials used to define covariant derivatives accommodating minimal coupling of matter and gauge fields. On the other hand, the tensor valued connection forms serve as auxillary dynamical fields associated with the dilation, special conformal and deformational (shear) degrees of freedom inherent in the bundle manifold. The bundle curvature of the theory is determined. Boundary topological invariants are constructed. They serve as a prototype (source free) gravitational Lagrangian. The Bianchi identities, covariant field equations and gauge currents are obtained.

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Gauge formulation of gravitation theories. II. The special conformal case

Cited by 61 publications

References 2 publications

Deriving the mass of particles from Extended Theories of Gravity in LHC era

Deriving the mass of particles from Extended Theories of Gravity in LHC era

Gauge fields, nonlinear realizations, supersymmetry

Nonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism

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