arXiv:hep-lat/0601012·v1·High Energy Physics — Lattice
Simulating the scalar field on the fuzzy sphere
Fernando Garcia Flores🇮🇪 · Denjoe O'Connor🇮🇪 · Xavier Martin🇫🇷
Abstract
The properties of the phi^4 scalar field theory on a fuzzy sphere are studied numerically. The fuzzy sphere is a discretization of the sphere through matrices in which the symmetries of the space are preserved. This model presents three different phases: uniform and disordered phases, as in the usual commutative scalar field theory, and a non-uniform ordered phase related to UV-IR mixing like non-commutative effects. We have determined the coexistence lines between phases, their triple point and their scaling.
Comments: 6 pages, 4 figures, Proceedings for the XXIIIrd International Symposium on Lattice Field Theory