:. ABSTRACT Interpreting the renormalization group in terms of its natural differential dispersive character, we analyze systematically general large momentum transfer processes in the context of renormalizable interacting quantum fields . The possibility of a consistent treatment of such processes is thereby attained. This possibility arises mainly from the occurrence of a power series in the ...

The current status of lattice and dispersive bound calculations for exclusive semileptonic B decays is reviewed. Emphasis is placed on decays relevant for the measurement of the sides of the unitarity triangle determined by |Vub| and |Vcb|.

In this paper, we study the infinite propagation speed and the limit behavior for the b-family equation with dispersive term. We prove that any nontrivial classical solution of the b-family equation with dispersive term will not have compact support if its initial data has this property. The issue of passing to the limit as the dispersive parameter tends to zero for the solution of the b-family...

Time-dependent dispersive shallow water waves in an unbounded domain are considered. The in5nite domain is truncated via an arti5cial boundary B, and a high-order non-re(ecting boundary condition (NRBC) is imposed on B. Then the problem is solved by a 5nite di6erence scheme in the 5nite domain bounded by B. The sequence of NRBCs proposed by Higdon is used. However, in contrast to the original l...

Distance compatible set-labeling of a graph G is an injective setassignment f : V (G) → 2X , X a nonempty ground set, such that the corresponding induced function f⊕ : V (G)× V (G) → 2X −{∅}, defined by f⊕(u, v) = f(u) ⊕ f(v) satisfies | f⊕(u, v) |= k (u,v) d(u, v) for all distinct u, v ∈ V (G), where d(u, v) is the distance between u and v, and k (u,v) is a constant, not necessarily an integer...

We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give exampl...

This paper reports on the time-domain numerical model of a parity-time Bragg grating with saturated and dispersive gain. The model is compared against the ideal PT scenario where the gain is constant and unsaturated for all frequencies.

|α|=2 2! α! aσ(α)(x)∂ α +~b(x) · ∇+ c(x), ∂t = ∂/∂t, ∂j = ∂/∂xj , ∂ = ∇ = (∂1, ∂2), p(ξ) = ξ1ξ2(ξ1 + ξ2), α = (α1, α2) is a multi-index, |α| = α1 + α2, α! = α1!α2!, σ(α) = (α1 − α2)/2, ~b(x) = (b1(x), b2(x)), and aσ(α), bj(x), c(x) are real-valued smooth functions on T2. Such operators arise in the study of gravity wave of deep water. See [1], [3], [4] and the references therein. The purpose of...

We extend our approach to the Casimir effect between absorbing dielectric multilayers [M. S. Tomaš, Phys. Rev. A 66, 052103 (2002)] to magnetodielectric systems. The resulting expression for the force is used to numerically explore the effect of the medium dispersion on the attractive/repulsive force in a metal-magnetodielectric system described by the Drude-Lorentz permittivities and permeabil...