Geometric spin foams, Yang-Mills theory and background-independent models

Details Geometric spin foams, Yang-Mills theory and background-independent models Geometric spin foams, Yang-Mills theory and background-independent models

2005-04-13

arxiv.org/abs/gr-qc/0504059v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 27 diagrams, typos corrected

Scientific paper

We review the dual transformation from pure lattice gauge theory to spin foam models with an emphasis on a geometric viewpoint. This allows us to give a simple dual formulation of SU(N) Yang-Mills theory, where spin foam surfaces are weighted with the exponentiated area. In the case of gravity, we introduce a symmetry condition which demands that the amplitude of an individual spin foam depends only on its geometric properties and not on the lattice on which it is defined. For models that have this property, we define a new sum over abstract spin foams that is independent of any choice of lattice or triangulation. We show that a version of the Barrett-Crane model satisfies our symmetry requirement.

Affiliated with

Also associated with

No associations

Rating

Geometric spin foams, Yang-Mills theory and background-independent models 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 Geometric spin foams, Yang-Mills theory and background-independent models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric spin foams, Yang-Mills theory and background-independent models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249491