Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-08-14
Class.Quant.Grav.19:2335-2354,2002
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 9 figures, further remarks and references added. Version to appear in Class. Quant. Grav
Scientific paper
10.1088/0264-9381/19/9/301
We construct a class of spin foam models describing matter coupled to gravity, such that the gravitational sector is described by the unitary irreducible representations of the appropriate symmetry group, while the matter sector is described by the finite-dimensional irreducible representations of that group. The corresponding spin foam amplitudes in the four-dimensional gravity case are expressed in terms of the spin network amplitudes for pentagrams with additional external and internal matter edges. We also give a quantum field theory formulation of the model, where the matter degrees of freedom are described by spin network fields carrying the indices from the appropriate group representation. In the non-topological Lorentzian gravity case, we argue that the matter representations should be appropriate SO(3) or SO(2) representations contained in a given Lorentz matter representation, depending on whether one wants to describe a massive or a massless matter field. The corresponding spin network amplitudes are given as multiple integrals of propagators which are matrix spherical functions.
No associations
LandOfFree
Spin Foam Models of Matter Coupled to Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spin Foam Models of Matter Coupled to Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Foam Models of Matter Coupled to Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-76009