One vertex spin-foams with the Dipole Cosmology boundary

Marcin Kisielowski (1) , Jerzy Lewandowski (1) , Jacek Puchta (2, 3, 4)

1 Instytut Fizyki Teoretycznej
2 CPT - E4 Gravité quantique
3 CPT - Centre de Physique Théorique - UMR 6207
4 CPT - Centre de Physique Théorique - UMR 7332

We find all the spin-foams contributing in the first order of the vertex expansion to the transition amplitude of the Bianchi-Rovelli-Vidotto Dipole Cosmology model. Our algorithm is general and provides spin-foams of arbitrarily given, fixed: boundary and, respectively, a number of internal vertices. We use the recently introduced Operator Spin-Network Diagrams framework.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Marcin Kisielowski, Jerzy Lewandowski, Jacek Puchta. One vertex spin-foams with the Dipole Cosmology boundary. Classical and Quantum Gravity, 2012, 30 (2), pp.025007. ⟨10.1088/0264-9381/30/2/025007⟩. ⟨hal-00967291⟩