Speaker
Daniel Berkowitz
(Yale University)
Description
"Applying lattice field theory to curved Riemannian manifolds opens up the doors to investigating some highly interesting physical systems, including the cylindrical manifolds of radial quantization $R$ $\times$ $S^{D-1}$. Substantial effort has already produced results on $R$ $\times$ $S^2$ and we would like to take a step towards higher dimensions. We tessellate the tetrahedral cells of the 600-cell using a tetrahedral-octahedral honeycomb lattice projected onto the surface of the 3-sphere and compute the spectrum of its laplacian using the methods of discrete exterior calculus."
Authors
Daniel Berkowitz
(Yale University)
Prof.
Richard Brower
(Boston University )
Prof.
George Fleming
(Yale University )
