Spectra of supersymmetric Yang-Mills quantum mechanics

Details Spectra of supersymmetric Yang-Mills quantum mechanics Spectra of supersymmetric Yang-Mills quantum mechanics

2002-03-13

arxiv.org/abs/hep-th/0203116v1

Nucl.Phys.B644:85-112,2002

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 9 Postscript figures

Scientific paper

10.1016/S0550-3213(02)00810-6

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.

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