Towards a Loop Quantum Gravity and Yang-Mills Unification
arXiv:1105.3480 · doi:10.1016/j.physletb.2012.07.034
Abstract
We propose a new method of unifying gravity and the Standard Model by introducing a spin-foam model. We realize a unification between an SU(2) Yang-Mills interaction and 3D general relativity by considering a Spin(4) Plebanski action. The theory is quantized a la spin-foam by implementing the analogue of the simplicial constraints for the broken phase of the Spin(4) SO(4) symmetry. A natural 4D extension of the theory is shown. We also present a way to recover 2-point correlation functions between the connections as a first way to implement scattering amplitudes between particle states, aiming to connect Loop Quantum Gravity to new physical predictions.
4 pages, 2 figures
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Cited by in corpus (6)
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- Gravitational origin of the weak interaction's chirality
- Gravity and Mirror Gravity in Plebanski Formulation
- Enhanced color gauge invariance and a new di-photon state at the LHC
- Quantum reduced loop gravity: extension to gauge vector field
- Pure gauge theory for the gravitational spin connection