Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity
By Aristide Baratin, D. Oriti. 2011
146 citations recorded by the source corpus.
In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and non-commutative simplicial path integrals for constrained BF theories. In light of this new framework, we define a model for 4d gravity which includes the Immirzi parameter γ. It reproduces the Barrett-Crane amplitudes when γ = ∞, but differs from existing models otherwise; in particular it does not require any rationality condition for γ. We formulate the amplitudes both as BF simplicial path integrals with explicit non-commutative B variables, and in spin foam form in terms of Wigner 15j-symbols. Finally, we briefly discuss the correlation between neighboring simplices, often argued to be a problematic feature, for example, in the Barrett-Crane model.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/226b9da807a54212d98d6cd9b2d0daa03b89ef09
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
- Lorenzo Sindoni
- D. Oriti
- Alejandro Perez
- E. Wilson-Ewing
- Carlo Rovelli
- B. Dittrich
- Steffen Gielen
- R. Gurau
In Statistical and Nonlinear Physics
- Lorenzo Sindoni
- D. Oriti
- Alejandro Perez
- E. Wilson-Ewing
- Carlo Rovelli
- B. Dittrich
- Steffen Gielen
- R. Gurau
Citations in the corpus
- Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates (2016, methodology): “, those like the Baratin–Oriti model [70] involving more elaborate fusion coefficients.”
- The Spin-Foam Approach to Quantum Gravity (2012, methodology): “From the viewpoint of the GFT formulation, and using the tool of the non-commutative Fourier transform [53], this question has been explored in [54, 55] A possible view is that the simplicity constraints are here imposed for all times and thus secondary constraints should be imposed automatically.”