%0 Journal Article %T An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories %A Tomohisa Takimi %J Physics %D 2012 %I arXiv %R 10.1007/JHEP08(2012)069 %X We provide a simple non-perturbative formulation for non-commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. The formulation is constructed by a combination of deconstruction (orbifold projection), momentum cut-off and matrix model techniques. We also propose a moduli fixing term that preserves lattice supersymmetry on the deconstruction formulation. Although the analogous formulation for four-dimensional N = 2 supersymmetric Yang-Mills theories is proposed also in Nucl.Phys.B857(2012), our action is simpler and better suited for computer simulations. Moreover, not only for the non-commutative theories, our formulation has a potential to be a non-perturbative tool also for the commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. %U http://arxiv.org/abs/1205.7038v3