We 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.
|Title of host publication||Proceedings of the International Workshop on Supersymmetries and Quantum Symmetries, Dubna, 30.7.-4.8. 2007|
|Publication status||Published - 4 Sep 2007|
O'Connor, D., & Saemann, C. (2007). A Multitrace Matrix Model from Fuzzy Scalar Field Theory. In Proceedings of the International Workshop on Supersymmetries and Quantum Symmetries, Dubna, 30.7.-4.8. 2007