Abstract. We develop a supersymmetric virial expansion for two point correlation functions of almost diagonal Gaussian Random Matrix Ensembles (ADRMT) of the orthogonal symmetry. These ensembles have multiple applications in physics and can be used to study universal properties of time-reversal invariant disordered systems which are either insulators or close to the Anderson localization transi...

Using two different methods, we have determined the rescaling of the scalar condensate Z ≡ Z ϕ near the critical line of a 4D Ising model. Our lattice data, in agreement with previous numerical indications, support the behavior Z ϕ ∼ ln(Λ), Λ being the ultraviolet cutoff. This result is predicted in an alternative description of symmetry breaking where there are no upper bounds on the Higgs bos...

We study the problem of joint estimation and control for a small example for which we can numerically compute the exact solution. We demonstrate, that optimal exploration is achieved through symmetry breaking in the Bellman equation; that optimal actions can be discontinuous in the beliefs; and that the optimal value function is typically non-differentiable. This could pose a challenge for the ...

A detailed study of the intermediate symmetry breaking scale, via the renormaliza-tion group equations, for a three generation heterotic string model arising from the N=2 superconformal construction is reported. The numerical study shows that the model admits a very large intermediate breaking scale > ∼ 1.0 × 10 16 GeV. The role of the gauge singlets in this model is studied, and it is found th...

Two problems related to packing identical rectangles within a polyhedron are tackled in the present work. Rectangles are allowed to differ only by horizontal or vertical translations and possibly ninety-degree rotations. The first considered problem consists in packing as many identical rectangles as possible within a given polyhedron, while the second problem consists in finding the smallest p...

The ground-state phases of a one-dimensional SU~4! spin-orbital Hamiltonian in a generalized external field are studied on the basis of the Bethe-ansatz solution. Introducing three Landé g factors for spin, orbital, and their products in the SU~4! Zeeman term, we systematically discuss various symmetry breakings. The magnetization versus external field is evaluated by solving the Bethe-ansatz e...

Accurate supersymmetric spectra are required to confront data from direct and indirect searches of supersymmetry. SuSeFLAV is a numerical tool which is capable of computing supersymmetric spectra precisely for various supersymmetric breaking scenarios applicable even in the presence of flavor violation. The program solves MSSM RGEs with complete 3 × 3 flavor mixing at 2-loop level and one loop ...

We analyze the numerical determination of the quark mixing factor Vus from hyperon semileptonic decays. The discrepancies between the results obtained in two previous studies are clarified. Our fits indicate sizeable SU(3) breaking corrections, which unfortunately can only be fully determined from the data at the first order. The lack of a reliable theoretical calculation of second-order symmet...

It is known that symmetries inherent in the statistical theory of ideal (i.e., nondissipative) magnetohydrodynamic (MHD) turbulence are broken dynamically to produce coherent structure. Previous numerical investigations are extended to study decaying MHD turbulence. Here, we find that coherent structure also arises and persists in the presence of dissipation. Thus, the magnetic dynamo may be du...

The relation between the properties of a specific crystallographic site and the properties of the full crystal is discussed by using spherical tensors. The concept of spherical tensors is introduced and the way it transforms under the symmetry operations of the site and from site to site is described in detail. The law of spherical tensor coupling is given and illustrated with the example of th...