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The perfectly matched layers method is a well known truncation technique for its efficiency and convenience in numerical implementations of wave scattering problems in unbounded domains. In this paper, we study the convergence of the…

Numerical Analysis · Mathematics 2024-01-02 Andreas Kirsch , Ruming Zhang

We study whether in-medium showers of high-energy gluons can be treated as a sequence of individual splitting processes $g{\to}gg$, or whether there is significant quantum overlap between where one splitting ends and the next begins.…

High Energy Physics - Phenomenology · Physics 2023-07-31 Peter Arnold , Omar Elgedawy , Shahin Iqbal

Gluon bremsstrahlung induced by multiple parton scattering in a finite dense medium has a unique angular distribution with respect to the initial parton direction. A dead-cone structure with an opening angle $\theta^2_0 \approx…

Nuclear Theory · Physics 2014-11-18 A. Majumder , Xin-Nian Wang

We analyze within the light-cone path integral approach [4] the recent CERN SPS data [19] on the Landau-Pomeranchuk-Migdal effect for photon bremsstrahlung in quantum regime from 149, 207, and 287 GeV electrons. Calculations have been…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. G. Zakharov

Liquid crystal based spatial light modulators are widely used in applied optics due to their ability to continuously modulate the phase of a light field with very high spatial resolution. A common problem in these devices is the pixel…

Optics · Physics 2019-05-31 Simon Moser

A new domain decomposition method is introduced for the heterogeneous 2-D and 3-D Helmholtz equations. Transmission conditions based on the perfectly matched layer (PML) are derived that avoid artificial reflections and match incoming and…

Numerical Analysis · Mathematics 2013-06-24 Christiaan C. Stolk

The cross section for bremsstrahlung from highly relativistic particles is suppressed due to interference caused by multiple scattering in dense media, and due to photon interactions with the electrons in all materials. We present here a…

We recently derived, using diagrammatic methods, the leading-order hard photon emission rate in ultra-relativistic plasmas. This requires a correct treatment of multiple scattering effects which limit the coherence length of emitted…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

Previous authors have considered the problem of the medium effects on single gluon bremsstrahlung associated with producing a high-energy particle in a finite, time-dependent QCD plasma. Working to leading logarithmic order, I show that the…

High Energy Physics - Phenomenology · Physics 2009-11-06 Peter Arnold

An analysis of the influence of the Landau-Migdal-Pomeranchuck (LPM) effect on the development of air showers initiated by astroparticles, is presented. By means of computer simulations using algorithms that emulate Migdal's theory,…

Astrophysics · Physics 2007-05-23 A. N. Cillis , H. Fanchiotti , C. A. Garcia Canal , S. J. Sciutto

In this paper, we propose and test a novel diagonal sweeping domain decomposition method (DDM) with source transfer for solving the high-frequency Helmholtz equation in $\mathbb{R}^n$. In the method the computational domain is partitioned…

Numerical Analysis · Mathematics 2020-09-02 Wei Leng , Lili Ju

This paper investigates the scattering of biharmonic waves by a one-dimensional periodic array of cavities embedded in an infinite elastic thin plate. The transparent boundary conditions are introduced to formulate the problem from an…

Analysis of PDEs · Mathematics 2023-11-21 Gang Bao , Peijun Li , Xiaokai Yuan

In recent studies, the production rate of photons or lepton pairs by a quark gluon plasma has been found to be enhanced due to collinear singularities. This enhancement pattern is very dependent on rather strict collinearity conditions…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Aurenche , F. Gelis , H. Zaraket

The radiation at collision of high-energy particles is formed over a rather long distances and therefore is sensitive to an environment. In particular the smallness of the transverse dimensions of the colliding beams leads to suppression of…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. N. Baier , V. M. Katkov

Policy Mirror Descent (PMD) has emerged as a unifying framework in reinforcement learning (RL) by linking policy gradient methods with a first-order optimization method known as mirror descent. At its core, PMD incorporates two key…

Machine Learning · Computer Science 2025-07-14 Jan Felix Kleuker , Aske Plaat , Thomas Moerland

We link the FDR treatment of ultraviolet (UV) divergences to dimensional regularization up to two loops in QCD. This allows us to derive the one-loop and two-loop coupling constant and quark mass shifts necessary to translate infrared…

High Energy Physics - Phenomenology · Physics 2015-12-01 Ben Page , Roberto Pittau

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical solution of most wave propagation problems. The perfectly matched layer (PML) is a method which, when stable, can provide a domain truncation…

Numerical Analysis · Mathematics 2022-01-19 Kenneth Duru , Gunilla Kreiss

We report recent progress on the development of a local renormalisation formalism based on causal loop-tree duality (cLTD). By performing an expansion around the UV-propagator in an Euclidean space, we manage to build counter-terms to…

High Energy Physics - Phenomenology · Physics 2024-09-09 German Sborlini , Jose Rios-Sanchez

Some considerations about the importance of coherence effects for bremsstrahlung processes in non--equilibrium dense matter (Landau - Pomeranchuk - Migdal - effect) are presented. They are of particular relevance for the application to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jörn Knoll , Dmitri N. Voskresensky

In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems…

Analysis of PDEs · Mathematics 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang