In the AdS/CFT correspondence, the space-time metric can be modified by a dilaton background with a positive sign. Modifying the metric and action with the dilaton field in the non-Abelian sector of Quantum Field Theory, such as Quantum Chromodynamics (QCD), produces an analytical running coupling constant applicable in the non-perturbative domain of the theory. The computed running coupling constant aligns closely with experimental results at low energy levels. The Burkert-Ioffe model can additionally modify this $\alpha _s^{Ads}({Q^2})$ to more closely align with experimental results at high energy scales. Consequently, utilizing the AdS/CFT correspondence, we analyze specific QCD observables including the Bjorken sum rule, electron-positron annihilation into hadrons, and hadronic tau decay at low energy scales, below the QCD cut-off parameter, and we compare the outcomes with experimental data that match them closely.

strong and long-range coupling of the magnetization dynamics of the two antiferromagnetic layers mediated by the phonons transferred through a nonmagnetic insulator has been investigated. The magnetization dynamics in one of the antiferromagnetic layers via a magnetoelastic interaction leads to the excitation of phonons and their pumping to the nonmagnetic layer. The transfer of phonons, which carry angular momentum, through a nonmagnetic insulator from one antiferromagnetic layer to another, leads to an interference pattern in the absorption spectrum, which represents the coupling of magnetization dynamics of two layers.

A system consisting of a magnetic material and a piezoelectric material placed within a microwave cavity is considered. The strong and long-range coupling between the piezoelectric material and the magnetic material mediated by the microwave cavity has been studied. We have shown that the realization of the strong coupling regime is not only possible between each of these materials with the microwave cavity, but also between the magnetic material and the piezoelectric material.

We study the interaction of a microwave cavity with a magnetic sphere. We show that achieving the strong coupling regime in this hybrid system is feasible. The simulation results demonstrate that the coupling rate is proportional to the square root of the volume of the magnet and also is mode dependent and decreases with increasing the mode index. Since the dielectric constant of the magnetic sphere differs from that of the medium, it can act as a spherical cavity, and coupling between its eigenmodes and the electric field of the microwave cavity also occurs. The reflection spectrum includes more than one anti-crossing for relatively larger magnetic spheres

In this paper, a new method for extending and relaxing the noise-coupling (NC) technique is proposed to enhance the noise-shaping order without adding the number of integrators. The noise-shaping order of the introduced ∑∆ modulator whit applying a second-order noise-coupling technique is enhanced and its performance with optimizing the noise transfer function (NTF) zeros is improved. Also, by removing the analog adder at feedforward path and transferring it to a new feedback branch before the last integrator and adding second-order NC path can be decreased the input voltage swing to the quantizer. Thus, by improving the modulator resolution, power consumption can be reduced. Mathematical analyses and behavioural simulation results confirm the effectiveness of the new NC method. To examine its performance, a 2nd-order single loop ΣΔ modulator was designed. The new noise-coupling method is used to achieve the three-order noise shaping to increase the resolution with low complexity and low-power. The results show an outstanding improvement in signal-to-noise and distortion ratio (SNDR) compared to the conventional structure.

In this paper introduced the notion of a strong synchronized system,that is a synchronized system whose there is unique , nite path in Fischer cover labeled synchronizing block. We aim to introduce a class of synchronized systems containing so, cs. Every irreducible so, c shift is an strong synchronized.