Group field theory with noncommutative metric variables |
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Authors: | Baratin Aristide Oriti Daniele |
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Institution: | Albert Einstein Institute, D-14476 Golm, Germany. aristide.baratin@aei.mpg.de |
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Abstract: | We introduce a dual formulation of group field theories as a type of noncommutative field theories, making their simplicial geometry manifest. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories. We give a new definition of the Barrett-Crane model for gravity by imposing the simplicity constraints directly at the level of the group field theory action. |
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