2011/05/31 by Stephon Alexander, Antonino Marcianò, Antonino Marciano +1 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Computer science #General relativity #Geometry #Gravitation #Group field theory #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum gravity #Quantum mechanics #Scattering amplitude #Spin (aerodynamics) #Spin foam #Spin network #Symmetry (geometry) #Theoretical physics #Unification #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2012.07.034
4 pages, 2 figures
arxiv created 2011/10/22 · openalex publication_date 2012/07/18 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.