Séminaire de Physique ThéoriqueField Theory on Fuzzy Spaces
Christian Saemann (Trinity College, Dublin)
Thursday 29 November 2007 14:00 - Tours - Salle 1180 (Bât E2)
After a general overview of fuzzy geometry, I present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in arXiv:0706.2493 [hep-th]. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results are in agreement with the numerical findings in the literature.