We study the quark-antiquark potential of quenched SU(3) lattice gauge theory with the Lüscher-Weisz action. After blocking the gauge fields with the recently proposed hypercubic transformation we compute the Sommer parameter, extract the lattice spacing a and set the scale at 6 different values of the gauge coupling in a range from a = 0.084 fm to 0.136 fm. PACS: 11.15.Ha

We perform a quark model calculation of the bb and cc spectra from a screened funnel potential form suggested by unquenched lattice calculations. A connection between the lattice screening parameter and an effective gluon mass directly derived from QCD is established. Spin-spin energy splittings, lep-tonic widths and radiative decays are also examined providing a test for the description of the...

This paper presents a heuristic attack on the fully homomorphic encryption over the integers by using lattice reduction algorithm. Our result shows that the FHE in [DGHV10] is not secure for some parameter settings. We also present an improvement scheme to avoid the lattice attack in this paper.

Motivated by biological questions, we study configurations of equal spheres that neither pack nor 3 cover. Placing their centers on a lattice, we define the soft density of the configuration by penalizing multiple 4 overlaps. Considering the 1-parameter family of diagonally distorted 3-dimensional integer lattices, we show that 5 the soft density is maximized at the FCC lattice. 6

We predict the possible existence of a new phase of liquid crystals near the nematic-isotropic transition. This phase is an achiral, tilt analogue of the blue phase and is composed of a lattice of double-tilt, escape-configuration cylinders. We discuss the structure and the stability of this phase and provide an estimate of the lattice parameter.

Modern lattice-based cryptosystems require sampling from discrete Gaussian distributions. We review lattice based schemes and collect their requirements for sampling from discrete Gaussians. Then we survey the algorithms implementing such sampling and assess their practical performance. Finally we draw some conclusions regarding the best candidates for implementation on different platforms in t...

We include the relativistic lattice KP hierarchy, introduced by Gibbons and Kupershmidt, into the r-matrix framework. An r-matrix account of the nonrelativistic lattice KP hierarchy is also provided for the reader’s convenience. All relativistic constructions are regular one-parameter perturbations of the nonrelativistic ones. We derive in a simple way the linear Hamiltonian structure of the re...

The construction of optimal template banks for matched-filtering searches is an example of the sphere covering problem. For parameter spaces with constant-coefficient metrics a (near-) optimal template bank is achieved by the A∗n lattice, which is the best lattice-covering in dimensions n ≤ 5, and is close to the best covering known for dimensions n ≤ 16. Generally this provides a substantially...

3D quasiperiodic tilings derived from deformed cuboctahedra are obtained by projection from 7D or 6D lattice space to 3D tile-space. Lattice matrices defining the projections from 7D or 6D lattice space to tileand test-space are given by introducing a deformation parameter. Two types of lattice matrices are considered, orthonormal and row-wise orthogonal, both are corresponding to deformation o...

A [h00] oriented Co-based superalloy single crystal was crept under tension at 940 C=100 MPa, resulting in a P-type raft morphology with extensive particle coalescence along the [h00] loading direction. However, particle coalescence was also observed in two perpendicular directions on the (h00) plane, normal to the loading axis. Tensile creep experiments were performed with in-situ neutron diff...