2019/01/17 by Sajid Ali, Georg Bergner, Henning Gerber +5
Physics and Astronomy · #Basis (linear algebra) #Black Holes and Theoretical Physics #Bound state #Degenerate energy levels #Excited state #Gauge (firearms) #Mixing (physics) #Operator (biology) #Particle physics theoretical and experimental studies #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1007/jhep04(2019)150
20 pages, 9 figures. v2: small correction of author names and acknowledgments
arxiv created 2019/01/17 · openalex created_date 2019/01/25 · openalex publication_date 2019/04/01 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/06
A bstract We have calculated the masses of bound states numerically in N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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- (1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> 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.