This talk is a review of our studies of instantons and their properties as seen in our lattice simulations of SU (2) gauge theory. We have measured the topological susceptibility and the size distribution of instantons in the QCD vacuum. We have also investigated the properties of quarks moving in instanton background field configurations, where the sizes and locations of the instantons are tak...

It is suggested that within the effective potential approach, convexity and spontaneous symmetry breaking(SSB) make the Higgs bosons bizarre and experimentally nonexistent, a possible resolution of the Higgs puzzle. This observation might have quite some nontrivial consequences for the Standard Model (SM) and particle physics. PACS number(s): 11.30.Qc;12.10.Dm;14.80.Bn;14.80.Cp. By now, the exp...

We have found substantial enhancements of the optical matrix elements of Er atoms when water molecules augment the symmetry-breaking electric fields in their crystalline environment. We measure enhancement factors of order 5 for the set of Er energy levels with wavelengths near 1550 nm. These transitions are technologically important because they are used in optical amplifiers for communication...

We present the expanded boundary integral method for solving the planar Helmholtz problem, which combines the ideas of the boundary integral method and the scaling method and is applicable to arbitrary shapes. We apply the method to a chaotic billiard with unidirectional transport, where we demonstrate existence of doublets of chaotic eigenstates, which are quasi-degenerate due to time-reversal...

Traditionally, standard Lagrangian-type finite elements, such as linear quads and triangles, have been the elements of choice in the field of topology optimization. However, finite element meshes with these conventional elements exhibit the well-known "checkerboard" pathology in the iterative solution of topology optimization problems. A feasible alternative to eliminate such long-standing prob...

RESTORATION Todd L. Veldhuizen and M. Ed Jernigan Dept. of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 [email protected] ABSTRACT We consider nite element basis functions for local nonlinear image restoration. The high dimensionality of the problem requires symmetry assumptions to make the lter design process computationally feasible. In cont...