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Assume that $A\subseteq \Fp, B\subseteq \Fp^{*}$, $\1/4\leqslant\frac{|B|}{|A|},$ $|A|=p^{\alpha}, |B|=p^{\beta}$. We will prove that for $p\geqslant p_0(\beta)$ one has $$\sum_{b\in B}E_{+}(A, bA)\leqslant 15 p^{-\frac{\min\{\beta,…

Number Theory · Mathematics 2011-07-26 Alexey Glibichuk

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou

The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the…

Classical Physics · Physics 2020-10-09 Ashok K. Singal

Using strong-coupling quantum field theory we calculate highly accurate critical exponents nu, eta from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent alpha of the specific heat near the…

High Energy Physics - Theory · Physics 2009-10-31 Hagen Kleinert

Accurate characterization of large-scale antenna arrays is growing in importance and complexity for the fifth-generation (5G) and beyond systems, as they feature more antenna elements and require increased overall performance. The full 3D…

Signal Processing · Electrical Eng. & Systems 2023-06-14 Xuesong Cai , Meifang Zhu , Aleksei Fedorov , Fredrik Tufvesson

By assuming certain analytic properties of the propagator, it is shown that universal features of the spectral function including threshold enhancement arise if a pole describing a particle at high temperature approaches in the complex…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Patkos , Zs. Szep , P. Szepfalusy

We report a calculation of the Sternheimer anti-shielding factor, \gamma, by means of first order perturbation theory. In quality of basis functions, we use Hartree-Fock electronic orbitals, expanded on hydrogenic atomic states. The…

Materials Science · Physics 2012-04-20 E. Diaz Suarez , Carlos M. Cruz Inclan , Augusto Gonzalez

This summary of the doctoral thesis provides a comprehensive formulation of the Extended Discrete Fourier Transform (EDFT), derived directly from the Fourier integral and its orthogonality properties. The method is obtained by solving…

Data Structures and Algorithms · Computer Science 2026-01-21 Vilnis Liepins

A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold $\mathcal…

High Energy Physics - Phenomenology · Physics 2016-02-04 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar

In this Letter, we show thermoelectric conversion efficiency is \emph{exactly} determined by \emph{three} independent material parameters $Z_{\rm gen}$, $\tau$, and $\beta$. Each parameter is a figure of merit hence improving $\tau$ or…

Materials Science · Physics 2019-10-25 Byungki Ryu , Jaywan Chung , SuDong Park

The charge carrier localization length {\alpha} is a crucial, yet often ignored parameter of conjugated polymers that exponentially influences electronic conductivity. Here, we argue it is a unique proxy of the energy landscape as…

Disordered Systems and Neural Networks · Physics 2025-11-18 Morteza Shokrani , Felix Maximilian Graf , Anton Kompatscher , Dennis Derewjanko , Martijn Kemerink

The theory of linear acceleration emission is developed for a large amplitude electrostatic wave in which all particles become highly relativistic in much less than a wave period. An Airy integral approximation is shown to apply near the…

High Energy Astrophysical Phenomena · Physics 2011-02-11 D. B. Melrose , Q. Luo

The ALICE experiment at LHC has planned to upgrade the TPC by replacing the MWPC with GEM based detecting elements to restrict the IBF to a tolerable value. However the variation of the gain as a function of physical parameters of…

Instrumentation and Detectors · Physics 2019-08-21 Supriya Das

The meson-photon transition form factors $\gamma\gamma^*\to P$ ($P$ stands for $\pi$, $\eta$ and $\eta'$) provide strong constraints on the distribution amplitudes of the pseudoscalar mesons. In this paper, these transition form factors are…

High Energy Physics - Phenomenology · Physics 2011-10-11 Xing-Gang Wu , Tao Huang

\'Eliashberg theory, being generalized to the electron-phonon (EP) systems with not constant density of electronic states, as well as to the frequency behavior of the renormalization of both the electron mass and the chemical potential, is…

Superconductivity · Physics 2016-07-11 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

We revise the Fowler-Dubridge (FB) model for photoelectron emission from two-dimensional (2D) materials to include the effects of reduced dimensionality, non-parabolic and anisotropic energy dispersion of 2D materials. Two different…

Applied Physics · Physics 2023-09-12 Luo Yi , Ang Y. S. , Ang L. K

Using 2d3v code LCODE, the numerical simulation of nonlinear wakefield excitation in plasma by shaped relativistic electron bunch with charge distribution, which increases according to Gaussian charge distribution up to the maximum value,…

Plasma Physics · Physics 2020-01-10 Denys Bondar , Vasyl Maslov , Irina Levchuk , Ivan Onishchenko

Based on the Fermi observational data we reveal meaningful constraints for the dependence of the macroscopic conductivity $(\sigma)$ of dissipative pulsar magnetosphere models on the corresponding spin-down rate, $\dot{\mathcal{E}}$. Our…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Constantinos Kalapotharakos , Alice K. Harding , Demosthenes Kazanas , Gabriele Brambilla

Closed formulas are derived for the field in the focal region of a diffraction limited lens, such that the electric field component in a given direction at the focal point is larger than that of all other focused fields with the same power…

Optics · Physics 2008-12-26 H. P. Urbach S. F. Pereira

High-temperature series are computed for a generalized $3d$ Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are…

Statistical Mechanics · Physics 2009-10-31 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari