Quantization and eigenvalue distribution of noncommutative scalar field theory

Abstract

The quantization of noncommutative scalar field theory is studied from the matrix model point of view, exhibiting the significance of the eigenvalue distribution. This provides a new framework to study renormalization, and predicts a phase transition in the noncommutative \phi^4 model. In 4-dimensions, the corresponding critical line is found to terminate at a non-trivial point.Comment: Talk presented at the II. Southeastern European Workshop BW 2005, Vrnjacka Banja, Serbia and the XIV. Workshop of Geometric Methods in Physics, Bialowieza, Poland. To appear in Facta Universitati