Abstract Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM $N=4$ theory and known by previous work to be associated positroids. In this paper, we study the structure positroids, as well denominator integrand defined each diagram. We give algorithm derive Grassmann necklace positroid directly from diagram, a recursive proof that dimension these cells is thrice n...

A discussion of methods for reducing the noise variance of flavor singlet quantities (“disconnected diagrams”) in lattice QCD is given. After an introduction, the possible advantage of partitioning the Wilson fermion matrix into disjoint spaces is discussed and a numerical comparison of the variance for three possible partitioning schemes is carried out. The measurement efficiency of lattice op...

A discussion of methods for reducing the noise variance of flavor singlet quantities (“disconnected diagrams”) in lattice QCD is given. After an introduction, the possible advantage of partitioning the Wilson fermion matrix into disjoint spaces is discussed and a numerical comparison of the variance for three possible partitioning schemes is carried out. The measurement efficiency of lattice op...