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We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near a given algebraic plane curve. Our solutions are complex contour integral…

Mathematical Physics · Physics 2018-10-01 David P. Hewett , John R. Ockendon , Valery P. Smyshlyaev

Form factors in planar $\mathcal{N}=4$ super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The…

High Energy Physics - Theory · Physics 2022-03-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

These lectures provide a modern introduction to selected topics in the physics of ultrarelativistic heavy ion collisions which shed light on the fundamental theory of strong interactions, the Quantum Chromodynamics. The emphasis is on the…

High Energy Physics - Phenomenology · Physics 2015-02-27 Edmond Iancu

We numerically solve 2+1D effective kinetic theory of weak coupling QCD under longitudinal expansion relevant for early stages of heavy-ion collisions. We find agreement with viscous hydrodynamics and classical Yang-Mills simulations in the…

High Energy Physics - Phenomenology · Physics 2015-11-04 Aleksi Kurkela , Yan Zhu

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD$_2$ saddle-point $\rho(x)$: \mbox{$W(A_1,A_2)=\oint \frac{dx}{2\pi i} \exp(\int dy \frac{\rho(y)}{y-x}+A_2x)$}. The strong-coupling-phase solution…

High Energy Physics - Theory · Physics 2009-10-22 D. V. Boulatov

Transverse momentum spectra of charged particle production in heavy-ion collisions are considered in terms of a recently introduced Two Component parameterization combining exponential ("soft") and power-law ("hard") functional forms. The…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. A. Bylinkin , N. S. Chernyavskaya , A. A. Rostovtsev

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini

We propose that the SU(2) Yang-Mills theory can be interpreted as a two-band dual superconductor with an interband Josephson coupling. We discuss various consequences of this interpretation including electric flux quantization, confinement…

High Energy Physics - Theory · Physics 2009-11-10 Antti J. Niemi

We reexamine the solvable model problem of two static, fundamental quarks interacting with a SU(2) Yang-Mills field on a spatial circle, introduced by Engelhardt and Schreiber. If the quarks are at the same point, the model exhibits a…

High Energy Physics - Theory · Physics 2016-08-25 M. Seeger , M. Thies

We provide a complete description of the angular distribution of gluons in a medium-induced QCD cascade. We identify two components in the distribution, a soft component dominated by soft multiple scatterings, and a hard component dominated…

High Energy Physics - Phenomenology · Physics 2015-05-20 Jean-Paul Blaizot , Leonard Fister , Yacine Mehtar-Tani

We present results for collisional energy loss and momentum broadening of high momentum partons in a hot and dense non-Abelian plasma obtained by solving the coupled system of Yang-Mills-Wong equations on a lattice in real time. Including…

High Energy Physics - Phenomenology · Physics 2009-11-18 Bjoern Schenke

Motivated by understanding the scattering of gravitons and their superpartners from extended $(p, q)$-strings in type IIB string theory via AdS/CFT, we study an integrated two-point function of stress tensor multiplet operators in the…

High Energy Physics - Theory · Physics 2023-05-16 Silviu S. Pufu , Victor A. Rodriguez , Yifan Wang

We propose a formalism for calculating the event cross-section of parton interactions. In this formalism, we use the light-front bound-state wave function to expand scattering initial state. This leads to an expression of the cross-section…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hung Hsiang Liu

We use the lattice cooling method to investigate the structure of some gauge fixed SU(2) Yang-Mills classical solutions of the euclidean equations of motion which are defined in the 3-torus with symmetric twisted boundary conditions.

High Energy Physics - Lattice · Physics 2009-10-22 M. Garcia Perez , A. Gonzalez-Arroyo

Graviational radiation is described by canonical Yang-Mills wave equations on the curved space-time manifold, together with evolution equations for the metric in the tangent bundle. The initial data problem is described in Yang-Mills scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maurice H. P. M. van Putten , Douglas M. Eardley

We calculate the cross section and transverse-momentum ($P_{\bot}$) distribution of the Breit-Wheeler process in relativistic heavy-ion collisions and their dependence on collision impact parameter ($b$). To accomplish this, the Equivalent…

Nuclear Theory · Physics 2020-09-09 Wangmei Zha , James Daniel Brandenburg , Zebo Tang , Zhangbu Xu

A powerful historical insight about the theory of in-medium showering in QCD backgrounds was that splitting rates can be related to a parameter $\hat q$ that characterizes the rate of transverse-momentum kicks to a high-energy particle from…

High Energy Physics - Phenomenology · Physics 2025-06-23 Peter Arnold

We calculate some ${\cal O}(\alpha_s^2)$ corrections to the JIMWLK kernel in the framework of the light-cone wave function approach to the high energy limit of QCD. The contributions that we consider originate from higher order corrections…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Albacete , N. Armesto , J. G. Milhano

We point out that the effective action of hot Yang--Mills theories has semi-classical solutions, which are naturally identified with monopole world lines, ``frozen'' into the short imaginary time dimension. The solutions look like wall…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alex Kovner

Complex fission phenomena are studied in a unified way. Very general reflection asymmetrical equilibrium (saddle point) nuclear shapes are obtained by solving an integro-differential equation without being necessary to specify a certain…

Nuclear Theory · Physics 2009-11-10 D. N. Poenaru , R. A. Gherghescu , W. Greiner
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