A phenomenological paradigm for the study of CP T-violating effects in the neutral kaon system is presented. Besides the familiar direct and indirect breakings, it encodes possible phenomena leading to irre-versibility and dissipation, that could originate from quantum effects at Planck's scale. These new effects can be experimentally probed with great accuracy, in particular at φ-factories.

We analyze a straightforward extension of the extended technicolor (ETC) incorporating the top quark condensate via the flavor-universal coloron type topcolor SU(3)1 × SU(3)2 as well as the walking/conformal technicolor. Having quarks and techniquarks assigned to a single SU(3)1, the model has the same ETC structure as that of Appelquist et al. which was shown to have successive ETC breakings t...

Effects of soft SUSY-breaking terms on inflation potentials are discussed. There exist generic constraints that must be satisfied in order not for the inflaton potential to loose its flatness. We examine explicitly the constraints in the case of a hybrid inflation model and find that the coupling constant λ between the inflaton and the “waterfall-direction” field is bounded as 2.0 × 10−6 ∼ λ. T...

A mechanism of supersymmetry breaking in two or four-dimensions is given, in which the breaking is related to the Fermat's last theorem. It is shown that supersymmetry is exact at some irrational number points in parameter space, while it is broken at all rational number points except for the origin. Accordingly, supersymmetry is exact almost everywhere, as well as broken almost everywhere on t...

We present a formulation of the Cayley-Hamilton theorem for hypermatrices in conjunction with the corresponding combinatorial interpretation. Finally we discuss how the formulation of the Cayley-Hamilton theorem for hyermatrices leads to new graph invariants which in some cases results in symmetry breakings among cospectral graphs.

The response of a nonlinear state to a variable forcing periodic in space is studied in an extended dynamical system consisting of a liquid crystal layer driven to convection. Both the statics and the dynamics of the entrainment and the locking effects are analyzed. The dynamics of the evolution are controlled by topological singularities that allow a diffusion of the phase. The mechanisms invo...

In this paper we give a systematical description of the possible symmetry breakings in the SO(3)-gauge theory and show an algorithmical method to construct SU(2)or SO(3)-invariant Higgs potentials in an arbitrary irreducible representation using regular graphs. We close our paper with the explicit construction of the Lagrangian of the simplest SO(3)→ A4 theory. PACS 11.15.-q PACS 11.15.Ex

Submerged breakwaters are one of the shore protective structures. Any discontinuity in these breakwaters causes changes on current parameters including speed and water surface profile. In this paper, discontinuous submerged breakwaters were modelled to investigate the changes in the wave and flow pattern.To investigate the phenomenon, three models including a shore with constant slope, a shore ...