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arXiv · hep-th/0309023

Maximal Locality and Predictive Power in Higher-Dimensional, Compactified Field Theories

Jisuke Kubo·Masanori Nunami
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Abstract

To achieve a maximal locality in a trivial field theory, we maximize the ultraviolet cutoff of the theory by fine tuning the infrared values of the parameters. This optimization procedure is applied to the scalar theory in $D+1$ dimensions ($D \geq 4$) with one extra dimension compactified on a circle with radius $R$. The optimized, infrared values of the parameters are then compared with the corresponding ones of the uncompactified theory in $D$ dimensions, which is assumed to be the low-energy effective theory. We find that these values approximately agree with each other, as long as $R^{-1} \gsim s M$ is satisfied, where $s\simeq 10,50,50, 100$ for $D=4,5,6,7$, and $M$ is a typical scale of the $D$-dimensional theory. This result supports the previously made claim that the maximization of the ultraviolet cutoff in an nonrenormalizable field theory can give the theory more predictive power.

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Jisuke Kubo, Masanori Nunami. 2003-09-10. Maximal Locality and Predictive Power in Higher-Dimensional, Compactified Field Theories. https://doi.org/10.1143/ptp.111.413

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