Coupling gauge theory to spinfoam 3D quantum gravity

2007/06/30 by Simone Speziale · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/20/014

published as Class.Quant.Grav.24:5139-5160,2007 · 18 pages

openalex publication_date 2007/10/02 · arxiv created 2007/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in g₀² G that can be evaluated order by order using grasping rules and the recoupling theory. With respect to previous attempts in the literature, this model assigns the dynamical variables of gravity and Yang-Mills theory to the same simplices of the spinfoam, and it thus provides transition amplitudes for the spin network states of the canonical theory. For SU(2) Yang-Mills theory we show explicitly that the partition function has a semiclassical limit given by the Regge discretization of the classical Yang-Mills action.

Citations

• A group field theory for 3d quantum gravity coupled to a scalar field
• A lattice worldsheet sum for 4-d Euclidean general relativity
• Spinfoam 2D quantum gravity and discrete bundles
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Critical point of QCD at finite T and , lattice results for physical quark masses
• 2 + 1 dimensional gravity as an exactly soluble system
• General relativity without coordinates
• About Lorentz invariance in a discrete quantum setting
• From 3-geometry transition amplitudes to graviton states

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