Spectra of supersymmetric Yang-Mills quantum mechanics
High Energy Physics - Theory
2011-07-28 v1
Abstract
The new method of solving quantum mechanical problems is proposed. The finite, i.e. cut off, Hilbert space is algebraically implemented in the computer code with states represented by lists of variable length. Complete numerical solution of a given system is then automatically obtained. The technique is applied to Wess-Zumino quantum mechanics and D=2 and D=4 supersymmetric Yang-Mills quantum mechanics with SU(2) gauge group. Convergence with increasing cut-off was observed in many cases, well within the reach of present machines. Many old results were confirmed and some new ones, especially for the D=4 system, are derived. Extension to D=10 is possible but computationally demanding for higher gauge groups.
Keywords
Cite
@article{arxiv.hep-th/0203116,
title = {Spectra of supersymmetric Yang-Mills quantum mechanics},
author = {J. Wosiek},
journal= {arXiv preprint arXiv:hep-th/0203116},
year = {2011}
}
Comments
39 pages, 9 Postscript figures