Gravity and Yang-Mills Sectors from a Unified Theory and Their Relation with Dark Energy

          @misc{ pirsa_PIRSA:12050079,
            doi = {10.48660/12050079},
            url = {https://pirsa.org/12050079},
            author = {Marciano, Antonino},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Gravity and Yang-Mills Sectors from a Unified Theory and Their Relation with Dark Energy},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050079 see, \url{https://pirsa.org}}
          }
          

Abstract

We propose a new method of unifying gravity and the Yang-Mills fields 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 a 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. 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. We conclude with speculations about extension of the model to 4D and  incorporate a newly developed model of Dark Energy.