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- W3112304910 abstract "We give an introduction into the problems of local quantum fie lds and argue, that a quantization of space-time might lead to better behaviour. Next we discuss a special Euclidean φ 4 4 -quantum field theory over quantized space-time as an example of a reno rmalizable field theory. Using a Ward identity, it was possible to prove the vanishing of the beta function for the coupling constant to all orders in perturbation theory. We extend this work and obtain from the Schwinger-Dyson equation a non-linear integral equation for the renormalis ed two-point function alone. The nontrivial renormalised four-point function fulfils a linear i ntegral equation with the inhomogeneity determined by the two-point function. These integral equations might be the starting point of a nonperturbative construction of a Euclidean quantum field t heory on a noncommutative space. We expect to learn about renormalisation from this almost solvable model." @default.
- W3112304910 created "2020-12-21" @default.
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- W3112304910 date "2011-01-01" @default.
- W3112304910 modified "2023-09-26" @default.
- W3112304910 title "Renormalisation of the Grosse-Wulkenhaar model" @default.
- W3112304910 hasPublicationYear "2011" @default.
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