Noncommutative QFT and Renormalization

Harald Grosse, Michael Wohlgenannt
2006 Journal of Physics, Conference Series  
Field theories on deformed spaces suffer from the IR/UV mixing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this disease by adding one more marginal operator. We review these ideas, show the application to ϕ^3 models and use the heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a θ-deformed space and derive noncommutative gauge field actions.
doi:10.1088/1742-6596/53/1/050 fatcat:nxlio5d2xnffbiccd2rkhnjb2y