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The dynamics and the mechanisms of preequilibrium-light-particle formation in nucleus-nucleus collisions at low and intermediate energies are studied on the basis of a classical four-body model. The angular and energy distributions of light…

Nuclear Theory · Physics 2015-06-26 A. S. Denikin , V. I. Zagrebaev

We compute by numerical integration of the Dirac equation the number of quark-antiquark pairs initially produced in the classical color fields of colliding ultrarelativistic nuclei. While the number of qqbar pairs is parametrically…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Gelis , K. Kajantie , T. Lappi

We present a simple description of the energy density profile created in a nucleus-nucleus collision, motivated by high-energy QCD. The energy density is modeled as the sum of contributions coming from elementary collisions between…

We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through the requirement of the existence of {\em canonical}…

Mathematical Physics · Physics 2021-01-07 Marcella Palese , Ekkehart Winterroth

We explore the correspondence between classical gluon radiation and quantum radiation in a coherent state for gluons produced in ultrarelativistic nuclear collisions. The expectation value of the invariant momentum distribution of gluons in…

Nuclear Theory · Physics 2008-11-26 Sergei G. Matinyan , Berndt Mueller , Dirk H. Rischke

We use a diagrammatic approach to study color-neutral heavy particle production in nucleus-nucleus collisions in a quasi-classical approximation without small-$x$ evolution. In order to treat the two nuclei symmetrically, we use the Coulomb…

High Energy Physics - Phenomenology · Physics 2012-12-07 Tseh Liou

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

We propose a new prescription for evaluating a von Neumann entropy in the initial stage of high-energy heavy-ion collisions utilizing the time evolution of classical Yang-Mills (CYM) field: The von Neumann entropy is computed for the…

High Energy Physics - Phenomenology · Physics 2014-10-28 Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We compute the electromagnetic field created by an ultrarelativistic charged particle in vacuum at distances comparable to the particle Compton wavelength. The wave function of the particle is governed by the Klein-Gordon equation, for a…

Nuclear Theory · Physics 2018-03-14 Balthazar Peroutka , Kirill Tuchin

We develop the formalism discussed previously in hep-ph/0601209 and hep-ph/0605246 to construct a kinetic theory that provides insight into the earliest ``Glasma'' stage of a high energy heavy ion collision. Particles produced from the…

High Energy Physics - Phenomenology · Physics 2009-03-12 F. Gelis , S. Jeon , R. Venugopalan

The classical Yang-Mills radiation computed in the McLerran-Venugopalan model is shown to be equivalent to the gluon bremsstrahlung distribution to lowest order in pQCD. The classical distribution is also shown to match smoothly onto the…

Nuclear Theory · Physics 2008-11-26 Miklos Gyulassy , Larry McLerran

The dynamics of gluons and quarks in a relativistic nuclear collision are described, within the framework of a classical mean-field transport theory, by the coupled equations for the Yang-Mills field and a collection of colored point…

Nuclear Theory · Physics 2015-06-26 W. Poeschl , B. Mueller

We present a formalism for gluon-gluon elastic scattering in the presence of the classical color field of the protons in high energy collision. The classical field is obtained by solving the classical Yang-Mills equation in the covariant…

High Energy Physics - Phenomenology · Physics 2011-12-01 Man-Fung Cheung , Charles B. Chiu

We consider the collisions of large nuclei using the theory of McLerran and Venugopalan. The two nuclei are ultra-relativistic and sources of non-abelian Weizs\"acker-Williams fields. These sources are in the end averaged over all color…

High Energy Physics - Phenomenology · Physics 2016-09-01 Alex Kovner , Larry McLerran , Heribert Weigert

The early time dynamics of heavy ion collisions can be described by classical fields in an approximation of Quantum ChromoDynamics (QCD) called Color Glass Condensate (CGC). Monte-Carlo sampling of the color charge for the incoming nuclei…

Nuclear Theory · Physics 2017-05-24 Steven Rose , Rainer J. Fries

We discuss proton-nucleus collisions in the framework of the color glass condensate. By assuming that the proton can be described as a low density color source, we solve exactly the Yang-Mills equations corresponding to this type of…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. -P. Blaizot , F. Gelis , R. Venugopalan

The BFKL fan diagram equation for the scattering on the nucleus is solved numerically with the eikonalized initial condition and for a realistic nuclear density. The gluon density has a soliton-like form in the $\log q - y$ space. Inclusive…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Braun

Relativistic heavy ion collisions produce thousands of particles, and it is sometimes difficult to believe that these processes allow for a theoretical description directly in terms of the underlying theory - QCD. However once the parton…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Kharzeev

The dynamics of low-x partons in the transverse plane of a high-energy nuclear collision is classical, and therefore admits a fully non--perturbative numerical treatment. We report results of a recent study estimating the initial energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alex Krasnitz , Raju Venugopalan

We estimate the energy density and the gluon distribution associated with the classical fields describing the early-time dynamics of the heavy-ion collisions. We first decompose the energy density into the momentum components exactly in the…

High Energy Physics - Phenomenology · Physics 2009-03-12 Hirotsugu Fujii , Kenji Fukushima , Yoshimasa Hidaka