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The initial energy density of gluons produced in very high energy nuclear collisions
High Energy Physics - Phenomenology · Submitted 1 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It decreases rapidly for small $g^2\mu L$ but varies only by $\sim 25$%, from $0.208\pm 0.004$ to $0.257\pm 0.005$, for a wide range 35.36--296.98 in $g^2\mu L$, including the range relevant for collisions at RHIC and LHC.
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The abstract, sentence by sentence
In very high energy nuclear collisions, the initial energy of produced gluons per unit area per unit rapidity, $dE/L^2/d\eta$, is equal to $f(g^2\mu L) (g^2\mu)^3/g^2$, where $\mu^2$ is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, we perform a non--perturbative numerical computation of the function $f(g^2\mu L)$. It decreases rapidly for small $g^2\mu L$ but varies only by $\sim 25$%, from $0.208\pm 0.004$ to $0.257\pm 0.005$, for a wide range 35.36--296.98 in $g^2\mu L$, including the range relevant for collisions at RHIC and LHC. Extrapolating to SU(3), we estimate the initial energy per unit rapidity for Au-Au collisions in the central region at RHIC and LHC.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In very high energy nuclear collisions, the initial energy of produced gluons per unit area per unit rapidity, $dE/L^2/d\eta$, is equal to $f(g^2\mu L) (g^2\mu)^3/g^2$, where $\mu^2$ is proportional to the gluon density per unit area of the colliding nuclei. | result 0.64 | 0.51 | 0.29 | asserted 1.00 |
| s1 | For an SU(2) gauge theory, we perform a non--perturbative numerical computation of the function $f(g^2\mu L)$. | method 0.79 | 0.96 | 0.04 | asserted 0.99 |
| s2 | It decreases rapidly for small $g^2\mu L$ but varies only by $\sim 25$%, from $0.208\pm 0.004$ to $0.257\pm 0.005$, for a wide range 35.36--296.98 in $g^2\mu L$, including the range relevant for collisions at RHIC and LHC. | result 1.00 | 0.95 | 0.61 | asserted 1.00 |
| s3 | Extrapolating to SU(3), we estimate the initial energy per unit rapidity for Au-Au collisions in the central region at RHIC and LHC. | result 0.59 | 0.86 | 0.24 | asserted 0.52 |
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The paper
Original abstract
In very high energy nuclear collisions, the initial energy of produced gluons per unit area per unit rapidity, $dE/L^2/d\eta$, is equal to $f(g^2\mu L) (g^2\mu)^3/g^2$, where $\mu^2$ is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, we perform a non--perturbative numerical computation of the function $f(g^2\mu L)$. It decreases rapidly for small $g^2\mu L$ but varies only by $\sim 25$%, from $0.208\pm 0.004$ to $0.257\pm 0.005$, for a wide range 35.36--296.98 in $g^2\mu L$, including the range relevant for collisions at RHIC and LHC. Extrapolating to SU(3), we estimate the initial energy per unit rapidity for Au-Au collisions in the central region at RHIC and LHC.
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References
How the literature uses it
32 arXiv papers cite this in 48 sentences
Papers citing it · 24 sentences without a confident label
Uses its method or tool 6 papers
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Within the CGC effective theory of high-energy QCD, the initial energy deposition in heavy-ion collisions can be computed from the solutions of the classical Yang-Mills equations [ref] .
Constraining hot and cold nuclear matter properties from heavy-ion collisions and deep-inelastic scattering · Initial state in hadronic collisions · 0.80
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In the numerical computation of the glasma fields [ref] there has been no longitudinal structure in the source, and the Wilson lines have been constructed simply as [equation] with the transverse charge densities depending on a single parameter $μ$, independent of $x^-$: [equation]
Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering · Wilson lines and glasma fields · 0.85
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This model is based on CGC effective theory and utilizes the classical description of gluon production first introduced in [ref] , with numerical methods pioneered in [ref] .
Collision energy dependence in heavy ion collisions from nonlinear QCD evolution · Introduction · 0.86
Cites it as support 1 paper
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One of the earliest successes of the CGC description of heavy ion collisions was its predictions for the total multiplicity of produced particles and its dependence upon the centrality of the collision [ref] , [ref] - [ref] .
Theoretical Concepts for Ultra-Relativistic Heavy Ion Collisions · Phenomenological Evidence for the Color Glass Condensate · 0.96
Cites it as background 14 papers
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In this scenario, the quark-gluon system that begins in an initial state due to saturated gluon fields created in nuclear collisions (dominated by the classical gluon fields of the McLerran-Venugopalan (MV) model [ref] ) progresses to a thermalized isotropic medium due to $2 →2$, $2 →3$ and $3 →2$ rescatterings.
Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the $\varphi^4$ Theory · Introduction · 0.98
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The dynamic initial state right after the collision of two relativistic nuclei is called the Glasma [ref] .
Aspects of the dilute Glasma · Glasma · 0.99
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One dominant mechanism describing the initial phase is based on the saturation framework [ref] , also widely known as the Color Glass Condensate (CGC).
First Saturation Correction in High Energy Proton-Nucleus Collisions: I. Time evolution of classical Yang-Mills fields beyond leading order · Introduction · 0.93
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