Lattice study of 4d {\cal N}=1 super Yang-Mills theory with dynamical overlap gluino

Details Lattice study of 4d {\cal N}=1 super Yang-Mills theory with dynamical overlap gluino Lattice study of 4d {\cal N}=1 super Yang-Mills theory with dynamical overlap gluino

2011-11-09

arxiv.org/abs/1111.2180v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures. Talk presented at The XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 201

Scientific paper

We report on a lattice simulation result for four-dimensional {\cal N}=1 SU(2) super Yang-Mills theory with the dynamical overlap gluino. We study the spectrum of the overlap Dirac operator at three different gluino masses m=0.2, 0.1 and 0.05 with the Iwasaki action on a 8^3 \times 16 lattice. We find that the lowest eigenvalue distributions are in good agreement with the prediction from the random matrix theory. Moreover the mass dependence of the condensate is almost constant, which gives a clean chiral limit. Our results for the gluino condensate in the chiral limit is < \bar{\psi} \psi > r_0^3 = 0.63(12), where r_0 is the Sommer scale.

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