Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-02
Prog.Theor.Phys. 111 (2004) 413-432
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 8 eps figures, LaTeX (ptptex.cls and ptp-prep.clo included), added references
Scientific paper
10.1143/PTP.111.413
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.
Kubo Jisuke
Nunami Masanori
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