Variational analysis of low-lying states in supersymmetric Yang-Mills theory
Sajid Ali (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, D-48149, Germany, Department of Physics, Government College University Lahore, Lahore, 54000, Pakistan); Georg Bergner (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, D-48149, Germany, Institute for Theoretical Physics, University of Jena, Max-Wien-Platz 1, Jena, D-07743, Germany); Henning Gerber (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, D-48149, Germany); Simon Kuberski (Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, Münster, D-48149, Germany); Istvan Montvay (Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Hamburg, D-22607, Germany); et al - Show all 8 authors
We have calculated the masses of bound states numerically in $$ \mathcal{N} $$ = 1 supersymmetric Yang-Mills theory with gauge group SU(2). Using the suitably optimised variational method with an operator basis consisting of smeared Wilson loops and mesonic operators, we are able to obtain the masses of the ground states and first excited states in the scalar, pseudoscalar and spin- $$ \frac{1}{2} $$ sectors. Extrapolated to the continuum limit, the corresponding particles appear to be approximately mass degenerate and to fit into the predicted chiral supermultiplets. The extended operator basis including both glueball-like and mesonic operators leads to improved results compared to earlier studies, and moreover allows us to investigate the mixing content of the physical states, which we compare to predictions in the literature.
