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

Conrady, Florian

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

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

MPS-Authors

Conrady, Florian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

221771.pdf
(Preprint), 431KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Conrady, F. (2005). Geometric spin foams, Yang-Mills theory and background-independent models.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4F22-5

Abstract

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