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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 14: Poster 2

MP 14.1: Poster

Donnerstag, 28. Februar 2013, 08:00–18:00, Poster OG

N=1 Supersymmetric Yang-Mills Theory on the Lattice — Georg Bergner¹, Istvan Montvay², Gernot Münster³, •Umut D. Özugurel³, Stefano Piemonte³, and Dirk Sandbrink³ — ¹ITP GU Frankfurt — ²DESY Hamburg — ³ITP WWU Münster

N=1 supersymmetric Yang-Mills theory describes the interactions between gluons and their superpartners, spin 1/2 gluinos. The spectrum of the theory consists of many composite particles, such as glueballs, mesons and mixed gluinos and gluons. In a supersymmetric model, particles which belong to the same supermultiplet must have the same mass. In order to show this feature, we study the theory with non-perturbative methods, by discretizing spacetime on an hypercubic lattice and introducing a small gluino mass. This leads to a breaking of supersymmetry, but allows us to study the theory on a computer with Monte Carlo simulations. Supersymmetry is expected to be recovered in the continuum limit and with a vanishing gluino mass. We report that 2 types of mesons and a spin 1/2 gluino-glueball are found as expected to have approximately the same mass and we discuss possible sources of deviation from exact supersymmetry. We also describe some numerical techniques that we developed and used.