N=(1,1) Super Yang-Mills on a(2+1) Dimensional Transverse Lattice with one Exact Supersymm

发布时间：2011-09-14 22:00:48

a rXiv:h e p-la t/ 3 3 27v1 31 Mar 2 3N =(1,1)Super Yang–Mills on a (2+1)Dimensional Transverse Lattice with one Exact Supersymmetry Motomichi Harada and Stephen Pinsky Department of Physics Ohio State University Columbus OH 43210Abstract We present a formulation of N =(1,1),Super Yang–Mills theory in 2+1dimensions using a transverse lattice methods that exactly preserves one super-symmetry.First,using a Lagrangian approach we obtain a standard transverse lattice formulation of the Hamiltonian.We then show that the Hamiltonian also can be written discretely as the square of a supercharge and that this produces a different result.Problems associated with the discrete realization of the fullsupercharge algebra are discussed.Numerically we solve for the bound states of the theory in the large N c approximation and we find good convergence.We show that the massive fermion and boson bound states are all exactly degenerate and that the number of fermion and boson massless bound states are closely related.Also we find that this theory admits winding states in the transverse direction and that their masses vary inversely with the winding number.

N=(1,1) Super Yang-Mills on a(2+1) Dimensional Transverse Lattice with one Exact Supersymm

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