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

Abstract

We have calculated the masses of bound states numerically in 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-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.

arXiv comment20 pages, 9 figures. v2: small correction of author names and acknowledgments

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Cited by in corpus (7)

• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Lattice studies of supersymmetric gauge theories
• Monte-Carlo simulations of overlap Majorana fermions
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Exploring gauge theories with adjoint matter on the lattice
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice