Towards a Loop Quantum Gravity and YangMills unification
Abstract
We propose a new method of unifying gravity and the Standard Model by introducing a spinfoam model. We realize a unification between an SU (2) YangMills interaction and 3D general relativity by considering a constrained Spin (4) ∼ SO (4) Plebanski action. The theory is quantized à la spinfoam by implementing the analogue of the simplicial constraints for the Spin (4) symmetry, providing a way to couple YangMills fields to spinfoams. A natural 4D extension of the theory is introduced. We also present a way to recover 2point 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:
 arXiv:1105.3480
 Bibcode:
 2012PhLB..716..330A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 4 pages, 2 figures