Abstract
We perform an analytic calculation of the color fields in heavy-ion collisions by considering the collision of longitudinally extended nuclei in the dilute limit of the Color Glass Condensate effective field theory of high-energy QCD. Based on general analytic expressions for the color fields in the future light cone, we evaluate the rapidity profile of the transverse pressure within a simple specific model of the nuclear collision geometry and compare our results to 3+1D classical Yang-Mills simulations.
Highlights
The space-time evolution of the quark gluon plasma (QGP), produced in high-energy heavy-ion collisions (HIC) at the Large Hadron Collider (LHC) and Relativistic Heavy Ion Collider (RHIC), can be accurately described by relativistic viscous hydrodynamics [1,2]
We present the first analytical calculation of the initial energy deposition in heavy-ion collisions by solving the ð3 þ 1ÞD classical Yang-Mills equations within the dilute limit of the color glass condensate effective field theory of high-energy QCD
Basic features of the reaction dynamics for ð3 þ 1ÞD collisions have already been examined in detail using real time lattice simulations [53,55]
Summary
The space-time evolution of the quark gluon plasma (QGP), produced in high-energy heavy-ion collisions (HIC) at the Large Hadron Collider (LHC) and Relativistic Heavy Ion Collider (RHIC), can be accurately described by relativistic viscous hydrodynamics [1,2]. A plethora of (semi)analytic calculations have been carried out within the CGC framework using expansions in color source densities [21–24] or near-field expansions [25–29] in the boost-invariant limit, which have been further exploited to study the correlation function of the initial energy-momentum tensor [23,27,30–33] and jet momentum broadening in the early stages [34,35] Such numerical and (semi) analytical results have been important to guide the development of simple parametric initial state models such as IP-jazma [36] or TrENTo [11,37], and to the development of a comprehensive understanding of the transverse dynamics of the fireball near midrapidity.
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