Variational analysis of low-lying states in supersymmetric Yang-Mills theory

Autor: Simon Kuberski, Philipp Scior, Gernot Münster, Henning Gerber, Stefano Piemonte, Istvan Montvay, Sajid Ali, Georg Bergner
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Wilson loop
High Energy Physics::Lattice
supersymmetry: 1
variational [numerical methods]
01 natural sciences
gauge field theory: SU(2)
Operator (computer programming)
1 [supersymmetry]
numerical methods: variational
Mathematical physics
Physics
High Energy Physics - Lattice (hep-lat)
ddc:530
mass [ground state]
mass dependence
Pseudoscalar
supersymmetry [Yang-Mills]
gauge field theory: Yang-Mills
bound state: mass: calculated
scalar
Nuclear and High Energy Physics
Yang-Mills [gauge field theory]
FOS: Physical sciences
mass [excited state]
Yang–Mills theory
Supersymmetric Gauge Theory
High Energy Physics - Lattice
Gauge group
0103 physical sciences
mixing
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
continuum limit
010306 general physics
numerical calculations
ground state: mass
pseudoscalar
Lattice Quantum Field Theory
010308 nuclear & particles physics
mass: calculated [bound state]
Degenerate energy levels
High Energy Physics::Phenomenology
lattice field theory: supersymmetry
Yang-Mills: supersymmetry
530 Physik
excited state: mass
Variational method
Supersymmetric gauge theory
SU(2) [gauge field theory]
lcsh:QC770-798
supersymmetry [lattice field theory]
Zdroj: Journal of high energy physics 1904(4), 150 (2019). doi:10.1007/JHEP04(2019)150
Journal of High Energy Physics, Vol 2019, Iss 4, Pp 1-23 (2019)
Journal of High Energy Physics
DOI: 10.1007/JHEP04(2019)150
Popis: Journal of high energy physics 1904(4), 150 (2019). doi:10.1007/JHEP04(2019)150
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.
Published by SISSA, [Trieste]
Databáze: OpenAIRE