English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Group field theory with non-commutative metric variables

MPS-Authors
/persons/resource/persons20702

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

/persons/resource/persons20698

Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, 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)

1002.4723
(Preprint), 164KB

PRL105_221302.pdf
(Any fulltext), 166KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Baratin, A., & Oriti, D. (2010). Group field theory with non-commutative metric variables. Physical Review Letters, 105(22): 221302. doi:10.1103/PhysRevLett.105.221302.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-69CA-0
Abstract
We introduce a dual formulation of group field theories, making them a type of non-commutative field theories. In this formulation, the variables of the field are Lie algebra variables with a clear interpretation in terms of simplicial geometry. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories. This formulation suggests ways to impose the simplicity constraints involved in BF formulations of 4d gravity directly at the level of the group field theory action. We illustrate this by giving a new GFT definition of the Barrett-Crane model.