Unrenormalizable Theories Can Be Predictive
摘要
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.
引用
@article{arxiv.hep-th/0112032,
title = {Unrenormalizable Theories Can Be Predictive},
author = {Jisuke Kubo and Masanori Nunami},
journal= {arXiv preprint arXiv:hep-th/0112032},
year = {2014}
}
备注
33 pages, TeX, 14 figures