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Integral Octonions, Octonion XY-Product, and the Leech Lattice
Integral Octonions Octonion XY-Product
2010/12/23
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices, $\Lambda_{4}$, $\Lambda_{8}$, $\Lambda_{16...
Inducing topological order in a honeycomb lattice
Inducing topological order honeycomb lattice
2010/11/25
We explore the possibility of inducing a topological insulator phase in a honeycomb lattice using a metallic gate. We start with a lattice model which does not include spin-orbit interaction. A metall...
Propagators in lattice Coulomb gauge and confinement mechanisms
Propagators Coulomb gauge confinement mechanisms
2011/1/13
We discuss the gluon propagator in 3- and 4-dimensional Yang-Mills theories in Coulomb gauge
and compare it with the corresponding Landau gauge propagator, showing that for both the relevant IR mass ...
Unquenching the Landau Gauge Lattice Propagators and the Gribov Problem
Landau Gauge Lattice Propagators Gribov Problem
2011/1/13
The gluon and ghost propagators are computed using both quenched and dynamical configurations
for the same lattice spacings. The Wilson fermions are simulated at several quark masses.
Furthermore, t...
