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We give a detailed derivation of the Boltzmann equation, and in particular its collision integral, in classical field theory. We first carry this out in a scalar theory with both cubic and quartic interactions and subsequently in a…

High Energy Physics - Phenomenology · Physics 2014-05-13 V. Mathieu , A. H. Mueller , D. N. Triantafyllopoulos

Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N = 4 supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2015-09-23 Paul M. Chesler , Laurence G. Yaffe

We show that scattering amplitudes between initial wave packet states and certain coherent final states can be computed in a systematic weak coupling expansion about classical solutions satisfying initial value conditions. The initial value…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas M. Gould , Stephen D. H. Hsu , Erich R. Poppitz

This presentation discusses some recently active topics in the theoretical interpretation of high energy heavy ion collisions at the LHC and at RHIC. We argue that the standard paradigm for understanding the spacetime evolution of the bulk…

High Energy Physics - Phenomenology · Physics 2016-09-20 T. Lappi

A review of some recently developed methods of calculating multiple differential cross-sections of photoionization and electron impactionization of atoms and molecules having two active electrons is presented. The methods imply original…

A classical solution to the Yang-Mills theory is given a new semiclassical interpretation. The boundary value problem on a complex time contour which arises from the semiclassical approximation to multiparticle scattering amplitudes is…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas M. Gould , Erich R. Poppitz

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an…

High Energy Physics - Theory · Physics 2015-06-03 Jean-Emile Bourgine

The high-energy parton-parton scattering amplitude can be described, in the c.m.s., by the expectation value of two infinite Wilson lines, running along the classical trajectories of the two colliding particles. The above description…

High Energy Physics - Phenomenology · Physics 2009-11-07 Enrico Meggiolaro

We discuss the results of numerical simulations of colliding wavepackets in $SU(2)$ Yang--Mills theory. We investigate their behavior as a function of amplitude and momentum distribution. We find regions in our parameter space in which…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Hu , S. Matinyan , B. Muller , A. Trayanov , T. Gould , S. Hsu , E. Poppitz

It has been previously shown numerically that the expectation value of the magnetic Wilson loop at the initial time of a heavy-ion collision exhibits area law scaling. This was obtained for a classical non-Abelian gauge field in the forward…

High Energy Physics - Phenomenology · Physics 2014-03-12 Elena Petreska

We calculate the mass and residue of the heavy spin--1/2 baryons containing two heavy b or c quarks in the framework of QCD sum rules. We use the most general form of the interpolating current in its symmetric and anti-symmetric forms with…

High Energy Physics - Phenomenology · Physics 2015-06-05 T. M. Aliev , K. Azizi , M. Savci

Large $N$ two-dimensional QCD on a cylinder and on a vertex manifold (a sphere with three holes) is investigated. The relation between the saddle-point description and the collective field theory of QCD$_2$ is established. Using this…

High Energy Physics - Theory · Physics 2009-10-28 David J. Gross , Andrei Matytsin

Expectation values of Wilson loops define the nonperturbative properties of the hot medium produced in heavy ion collisions that arise in the analysis of both radiative parton energy loss and quarkonium suppression. We use the AdS/CFT…

High Energy Physics - Phenomenology · Physics 2010-10-27 Hong Liu , Krishna Rajagopal , Urs Achim Wiedemann

We derive an action describing edge dynamics on interfaces for gauge theories (Maxwell and Yang-Mills) using the path integral. The canonical structure of the edge theory is deduced and the thermal partition function calculated. We test the…

High Energy Physics - Theory · Physics 2018-12-05 Andreas Blommaert , Thomas G. Mertens , Henri Verschelde

We express the partition function for an equilibrium system of interacting particles in the canonical ensemble as a functional integration over the particles' density field. We outline a method to evaluate the partition function by…

Condensed Matter · Physics 2009-10-31 Tong Zhou

The double copy suggests that the basis of the dynamics of general relativity is Yang-Mills theory. Motivated by the importance of the relativistic two-body problem, we study the classical dynamics of colour-charged particle scattering from…

High Energy Physics - Theory · Physics 2020-12-30 Leonardo de la Cruz , Ben Maybee , Donal O'Connell , Alasdair Ross

We compute the three-loop correction to the universal single-soft emission current for the case of scattering amplitudes with two additional color-charged partons. We present results valid for QCD and $\mathcal{N}=4$ super-symmetric…

High Energy Physics - Phenomenology · Physics 2023-09-15 Franz Herzog , Yao Ma , Bernhard Mistlberger , Adi Suresh

We use an independent electron model with semi-classical approximation to electron dynamics to investigate differential cross sections for electron emission in fast collisions of protons with ammonia molecules. An effective potential model…

Atomic Physics · Physics 2023-09-29 Alba Jorge , Marko Horbatsch , Tom Kirchner

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

We consider the complete set of planar two-loop five-point Feynman integrals with two off-shell external legs. These integrals are relevant, for instance, for the calculation of the second-order QCD corrections to the production of two…

High Energy Physics - Theory · Physics 2024-11-07 Samuel Abreu , Dmitry Chicherin , Vasily Sotnikov , Simone Zoia
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