Towards a Loop Quantum Gravity and Yang-Mills unification (original) (raw)
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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 constrained Spin (4) ∼ SO (4) Plebanski action. The theory is quantized à la spin-foam by implementing the analogue of the simplicial constraints for the Spin (4) symmetry, providing a way to couple Yang-Mills fields to spin-foams. A natural 4D extension of the theory is introduced. 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.
Publication:
Physics Letters B
Pub Date:
September 2012
DOI:
10.1016/j.physletb.2012.07.034
arXiv:
Bibcode:
Keywords:
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
E-Print:
4 pages, 2 figures