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We calculate one--loop corrections to the vertexes and propagators of photons and charged particles in the strong electric field backgrounds. We use the Schwinger--Keldysh diagrammatic technique. We observe that photon's Keldysh propagator…

High Energy Physics - Theory · Physics 2015-06-19 E. T. Akhmedov , N. Astrakhantsev , F. K. Popov

We show that, when an approximation used in this prior work is removed, the resulting improved calculation yields an alternative derivation, in the particular case studied, of the accidental curvature constraint of Hellmann and Kaminski.…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Jonathan Steven Engle , Wojciech Kaminski , José Ricardo Oliveira

The paper considers an extension of factor analysis to moving average processes. The problem is formulated as a rank minimization of a suitable spectral density. It is shown that it can be adequately approximated via a trace norm convex…

Optimization and Control · Mathematics 2015-08-26 Mattia Zorzi , Rodolphe Sepulchre

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

We show that a knowledge of diagonal partons at a low scale is sufficient to determine the off-diagonal (or skewed) distributions at a higher scale, to a good degree of accuracy. We quantify this observation by presenting results for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. J. Golec-Biernat , A. D. Martin , M. G. Ryskin

FEM simulations are a standard step in the design of accelerator magnets. It is custom for accelerator applications to characterize the field quality in terms of field expansion coefficients. With a commonly accepted approach, expansion…

Accelerator Physics · Physics 2019-10-29 Vasily Marusov

We examine the use of phenomenological form factors in tree level amplitudes for meson photoproduction. Two common recipes are shown to be fundamentally incorrect. An alternate form consistent with gauge invariance and crossing symmetry is…

Nuclear Theory · Physics 2009-11-07 R. M. Davidson , Ron Workman

The act of projecting data sampled on the surface of the celestial sphere onto a regular grid on the plane can introduce error and a loss of information. This paper evaluates the effects of different planar projections on non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-13 Zoe Vallis , Chris Wallis , Tom Kitching

The partial least squares procedure was originally developed to estimate the slope parameter in multivariate parametric models. More recently it has gained popularity in the functional data literature. There, the partial least squares…

Statistics Theory · Mathematics 2012-05-30 Aurore Delaigle , Peter Hall

The defect of valued field extensions is a major obstacle in open problems in resolution of singularities and in the model theory of valued fields, whenever positive characteristic is involved. We continue the detailed study of defect…

Commutative Algebra · Mathematics 2017-05-29 Anna Blaszczok , Franz-Viktor Kuhlmann

For certain dimensionally-regulated one-, two- and three-loop diagrams, problems of constructing the epsilon-expansion and the analytic continuation of the results are studied. In some examples, an arbitrary term of the epsilon-expansion…

High Energy Physics - Theory · Physics 2025-10-20 A. I. Davydychev , M. Yu. Kalmykov

This work is devoted to the development of an efficient and robust technique for accurate capturing of the electric field in multi-material problems. The formulation is based on the finite element method enriched by the introduction of…

Various studies have already considered radiative corrections in Lorentz-violating models unveiling many instances where a minimal or nonminimal operator generates, via loop corrections, a contribution to the photon sector of the…

High Energy Physics - Phenomenology · Physics 2019-07-03 A. F. Ferrari

In this study, a novel electric field compressor is proposed by doping a metal-air-metal pillar in epsilon-near-zero medium within a metallic waveguide, which effectively enhances the background electric fields in a sub-wavelength air…

Applied Physics · Physics 2024-05-28 Fei Sun , Jinyuan Shan , Yichao Liu

The rate of monopole decay into a dyon and an electron in an inhomogeneous external electric field is calculated by semiclassical methods. Comparison is made to an earlier result where this quantity was calculated for a constant field.…

High Energy Physics - Phenomenology · Physics 2022-06-01 A. K. Monin , A. V. Zayakin

We suggest a new method, called Functional Additive Regression, or FAR, for efficiently performing high-dimensional functional regression. FAR extends the usual linear regression model involving a functional predictor, $X(t)$, and a scalar…

Statistics Theory · Mathematics 2015-10-15 Yingying Fan , Gareth M. James , Peter Radchenko

This article proposes that we should think differently about predicting and interpreting measured field electron emission (FE) current-voltage [I(V)] characteristics. It is commonly assumed that I(V) data interpretation is a problem in…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Richard G. Forbes

A novel scaling type of Fixed-Field Alternating-Gradient (FFAG) accelerator is proposed that solves the major problems of conventional scaling FFAGs. This scaling FFAG accelerator combines reverse bending magnets of the radial sector type…

Accelerator Physics · Physics 2017-08-16 Shinji Machida

We carry out a suite of cosmological simulations of modified action f(R) models where cosmic acceleration arises from an alteration of gravity instead of dark energy. These models introduce an extra scalar degree of freedom which enhances…

Astrophysics · Physics 2008-12-30 Hiroaki Oyaizu , Marcos Lima , Wayne Hu

We provide the theoretical framework to understand the phenomenology and statistics of single-molecule (SM) signals arising in Surface-Enhanced Raman Scattering (SERS) under the presence of so-called electromagnetic hot-spots (HS's). We…

Chemical Physics · Physics 2009-11-13 E. C. Le Ru , P. G. Etchegoin , M. Meyer