Virial theorem for four-dimensional supersymmetric Yang-Mills quantum mechanics with SU(2) gauge group

TL;DR

This paper investigates the spectral properties of four-dimensional SU(2) supersymmetric Yang-Mills quantum mechanics, applying the virial theorem to differentiate localized states and analyzing energy spectra.

Contribution

It provides a detailed analysis of energy levels and the application of the virial theorem in four-dimensional SYMQM with SU(2), focusing on the two-fermionic sector with zero angular momentum.

Findings

Energy levels for discrete and continuous spectra are calculated.

The virial theorem effectively distinguishes localized from non-localized states.

Results enhance understanding of spectral structure in supersymmetric quantum mechanics.

Abstract

Supersymmetric Yang-Mills quantum mechanics (SYMQM) in four dimensions for SU(2) gauge group is considered. In this work a two-fermionic sector with the angular momentum j=0 in discussed. Energy levels from discrete and continuous spectra are calculated. To distinguish localized states from non-localized ones the virial theorem is applied.