Eur. Phys. J. C (2004) 35: 283-292
https://doi.org/10.1140/epjc/s2004-01783-7
https://doi.org/10.1140/epjc/s2004-01783-7
theoretical physics
Towards UV finite quantum field theoriesfrom non-local field operators
Institut für theoretische Physik, Technische Universität Wien, Wiedner Hauptstraße 8-10, 1040, Wien, Austria
* e-mail: denk@hep.itp.tuwien.ac.at
A non-local toy model whose interaction consists of smeared, non-local field operators is presented. We work out the Feynman rules and propose a power counting formula for arbitrary graphs. Explicit calculations for one loop graphs show that their contribution is finite for sufficient smearing and agree with the power counting formula. UV/IR mixing does not occur.
© Springer-Verlag, 2004