1999/01/26 by Robert J. Perry, Perry, Robert J., Sergio Szpigel +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9901079
17 pages, 3 figures, to be published in Proceedings of the 1998 YITP-Workshop on QCD and Hadron Physics, Kyoto, Japan
arxiv created 1999/01/26 · arxiv updated 2009/11/30
The Schrodinger equation with a two-dimensional delta-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be lowered perturbatively until an infrared cutoff produced by non-perturbative effects such as bound state formation is encountered. We outline the effective field theory and similarity renormalization group techniques for producing renormalized cutoff hamiltonians, and illustrate the control of logarithmic and inverse-power-law errors both techniques provide.