Unrenormalizable Theories Can Be Predictive. Typeset Using Revt E X 1

نویسنده

  • Masanori Nunami
چکیده

Unrenormalizable theories contain infinitely many free parameters. Considering these theories in terms of the Wilsonian renormalization group (RG), we suggest a method for removing this large ambiguity. Our basic assumption is the existence of the maximal ultraviolet cutoff in a cutoff theory, and we require that the theory be so fine-tuned as to reach the maximal cutoff. The theory so obtained behaves as a local continuum theory to the shortest distance. In concrete examples of the scalar theory we find that at least in a certain approximation to the Wilsonian RG, this requirement enable us to make unique predictions in the infrared regime in terms of a finite number of independent parameters. Therefore, the method might provide a way for calculating quantum corrections in a low-energy effective theory of quantum gravity. 04.60.-m, 11.10.Gh, 11.10.Hi, 11.10.Kk, 11.25.Db Typeset using REVTEX 1

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تاریخ انتشار 2002