A conference in honor of Vincent Rivasseau
25-27 Nov 2015 Paris (France)
A solvble QFT in 4 dimensions
Harald Grosse  1  
1 : Faculty of Physics / University of Vienna  -  Website
Faculty of Physics Strudlhofgasse 4 1090 Wien Austria Phone: +43 1 4277 51001 -  Austria

We review our common work with Raimar Wulkenhaar: The regularisation of a scalar field on Moyal space leads to a matrix model. All correlation functions are expressed in terms of the solution of a nonlinear integral equation. Taking a special limit leads to a local 4D QFT, which satisfies growth property, covariance and symmetry. We discuss the evidence for reflection positivity for the 2-point function, for a certain range of the coupling constant.



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