We study vector-boson scattering of the physical, gauge-invariant states in a reduced standard-model setup on lattice for various parameter sets. To this end, phase shift scalar channel is determined using L\"uscher-type analysis. The results can be readily interpreted terms Higgs properties and reunitarized Fr\"ohlich-Morchio-Strocchi analysis at Born level. only deviation appears mass below e...

Incommensurate charge order in hole-doped oxides is intertwined with exotic phenomena such as colossal magnetoresistance, high-temperature superconductivity, and electronic nematicity. Here, we map, at atomic resolution, the nature of incommensurate charge-lattice order in a manganite using scanning transmission electron microscopy at room temperature and cryogenic temperature ([Formula: see te...

Atomic misfit associated with a crystal dislocation is manifested by displacements of atoms from their positions in the perfect lattice. The discrete character of the crystal lattice and the nature of interatomic bonds distribute this misfit over the plane normal to the dislocation line. The Nye tensor, which describes the distribution of the resultant Burgers vector across a plane normal to th...

In the present study, commonly used weakly compressible lattice Boltzmann method and Guo incompressible lattice Boltzmann method have been used to simulate fluid flow in a stirred tank. For this purpose a 3D Parallel code has been developed in the framework of the lattice Boltzmann method. This program has been used for simulation of flow at different geometries such as 2D channel fluid flow an...

In this letter it will be demonstrated explicitly that the finite-element formulation of quantum electrodynamics is free from fermion doubling. We do this by (1) examining the lattice fermion propagator and using it to compute the one-loop vacuum polarization on the lattice, and (2) by an explict computation of vector and axial-vector current anomalies for an arbitrary rectangular lattice in th...

Finding the shortest vector of a lattice is one of the most important problems in computational lattice theory. For a random lattice, one can estimate the length of the shortest vector using the Gaussian heuristic. However, no rigorous proof can be provided for some classes of lattices, as the Gaussian heuristic may not hold for them. In this paper, we propose a general method to estimate lower...

Finding the shortest vector of a lattice is one of the most important problems in computational lattice theory. For a random lattice, one can estimate the length of the shortest vector using the Gaussian heuristic. However, no rigorous proof can be provided for some classes of lattices, as the Gaussian heuristic may not hold for them. In the paper we study two types of random lattices in crypto...

Vector perturbation is an encoding method for broadcast channels in which the transmitter solves a shortest vector problem in a lattice to create a perturbation vector, which is then added to the data before transmission. In this work, we introduce nested lattice codes into vector perturbation systems, resulting in a strategy which we deem matrix perturbation. We propose design criteria for the...

We study error statistics of lattice quantization with and without vector dithering. As in the scalar case, we distinguish between subtractive and nonsubtractive dithering. We derive general expressions for appropriate error statistics in both cases. In subtractive dithering , we can achieve statistical independence of the error vector from the input vector by appropriate choice of the dither v...