• Corpus ID: 238407759

A dynamically constrained Yang-Mills theory with Lorentz symmetry group as an alternative theory of gravity

@inproceedings{Ottinger2021ADC,
  title={A dynamically constrained Yang-Mills theory with Lorentz symmetry group as an alternative theory of gravity},
  author={Hans Christian Ottinger},
  year={2021}
}
We develop the complete composite theory of gravity, in which the gauge vector fields of the YangMills theory with Lorentz symmetry group are expressed in terms of the tetrad variables obtained from the decomposition of a metric. A key element of a compelling formulation of composite gravity are refined coordinate conditions that offer a natural coupling of the gravitational field to matter and ensure the closest relationship to general relativity. The composite theory of gravity is presented… 

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References

SHOWING 1-10 OF 57 REFERENCES
Lorentz Invariance and the Gravitational Field
An argument leading from the Lorentz invariance of the Lagrangian to the introduction of the gravitational field is presented. Utiyama's discussion is extended by considering the 10‐parameter group
The theory of gravitation in Hamiltonian form
  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1958
The author's generalized procedure for putting a theory into Hamiltonian form is applied to Einstein’s theory of gravitation. It is shown that one can make a change in the action density, not
Perturbative quantum gravity as a double copy of gauge theory.
TLDR
It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.
BRST quantization of Yang-Mills theory: A purely Hamiltonian approach on Fock space
We develop the basic ideas and equations for the BRST quantization of Yang-Mills theories in an explicit Hamiltonian approach, without any reference to the Lagrangian approach at any stage of the
Classical gravity with higher derivatives
Inclusion of the four-derivative terms ∫RμνRμν(−g)1/2 and ∫R2(−g)1/2 into the gravitational action gives a class of effectively multimass models of gravity. In addition to the usual massless
New Relations for Gauge-Theory Amplitudes
We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color
The Geometrical Trinity of Gravity
The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational
...
...