Quantum Field Theories on a Noncommutative Euclidean Space: Overview of New Physics

Abstract

In this talk I briefly review recent developments in quantum field theories on a noncommutative Euclidean space, with Heisenberg-like commutation relations between coordinates. I will be concentrated on new physics learned from this simplest class of non-local field theories, which has applications to both string theory and condensed matter systems, and possibly to particle phenomenology.

Format:LaTex2e. 10 pages, 1 figure. Invited talk at the International Conference on Theoretical Physics, Paris, UNESCO; July 2002. To appear in the Proceedings. v2. Typos corrected