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The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions

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Abstract.

We analyze the low energy spectrum of bound states of the N = 1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with dynamical gluinos. The dynamics of the gluinos is included by the Two-Step Multi-Bosonic Algorithm (TSMB) for dynamical fermions. A new set of configurations has been generated on a \(16^3\cdot 32\) lattice at \(\beta = 2.3\) and \(\kappa = 0.194\). The analysis also includes sets of configurations previously generated on a smaller (\(12^3\cdot 24\)) lattice at \(\kappa = 0.1925, 0.194\) and 0.1955. Guided by predictions from low energy Lagrangians, we consider spin-1/2, scalar and pseudoscalar particles. The spectrum of SYM is a challenging subject of investigation because of the extremely noisy correlators. In particular, meson-like correlators contain disconnected contributions. The larger time-extension of the \(16^3\cdot 32\) lattice allows to observe two-state signals in the effective mass. Finite-volume effects are monitored by comparing results from the two lattice sizes.

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Correspondence to F. Farchioni.

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Received: 14 September 2004, Revised: 29 October 2004, Published online: 21 December 2004

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Farchioni, F., Peetz, R. The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions. Eur. Phys. J. C 39, 87–94 (2005). https://doi.org/10.1140/epjc/s2004-02081-2

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  • DOI: https://doi.org/10.1140/epjc/s2004-02081-2

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