Hamiltonian study of Supersymmetric Yang-Mills Quantum Mechanics
J. Kotanski, J. Wosiek
TL;DR
This paper introduces a new approach to supersymmetric quantum mechanics that avoids the sign problem and accurately computes spectra and indices of systems in various dimensions, including D=4 and higher.
Contribution
It presents a novel method for studying supersymmetric quantum systems that provides precise results without sign problem limitations.
Findings
Spectrum and Witten index of D=4 system calculated
Spectrum of zero volume glueballs in 3< D <11 dimensions obtained
Method achieves controllable systematic error
Abstract
New results obtained within the recently developed approach to supersymmetric quantum mechanical systems are presented. The method does not suffer from the sign problem in any dimensions and is capable to provide any quantum observable with controllable systematic error. Discussed results include: the spectrum and Witten index of the D=4 system, and the spectrum of zero volume glueballs in higher 3 < D < 11 dimensions.
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