Abstract.
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.
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Received: 26 February 2004, Published online: 5 May 2004
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Denk, S., Putz, V., Schweda, M. et al. Towards UV finite quantum field theoriesfrom non-local field operators. Eur. Phys. J. C 35, 283–292 (2004). https://doi.org/10.1140/epjc/s2004-01783-7
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DOI: https://doi.org/10.1140/epjc/s2004-01783-7