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

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概要

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• To realize 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「≥」4) with one extra dimension compactified on a circle of 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> 〓 sM is satisfied, where s 〓 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 a nonrenormalizable field theory can give the theory more predictive power.

• 理論物理学刊行会の論文
• 2004-03-25

著者

• KUBO Jisuke

  College of Liberal Arts, Kanazawa University

• Kubo Jisuke

  Institute For Theoretical Physics Kanazawa University

• NUNAMI Masanori

  Institute for Theoretical Physics, Kanazawa University

• Nunami Masanori

  Institute For Theoretical Physics Kanazawa University

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